Книги: "Standard Equilibrium Quantum Systems"

1

Schaller, Gernot. Open Quantum Systems Far from Equilibrium. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-03877-3.

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2

Schaller, Gernot. Open quantum systems far from equilibrium. Cham: Springer International Publishing, 2014.

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3

Kamenev, Alex. Field theory of non-equilibrium systems. Cambridge: Cambridge University Press, 2011.

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4

Suzuki, Masuo, ed. Quantum Monte Carlo Methods in Equilibrium and Nonequilibrium Systems. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-83154-6.

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5

Field theory of non-equilibrium systems. Cambridge: Cambridge University Press, 2011.

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6

Shastry, Abhay. Theory of Thermodynamic Measurements of Quantum Systems Far from Equilibrium. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-33574-8.

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7

Ingarden, Roman S. Information dynamics and open systems: Classical and quantum approach. Dordrecht: Kluwer, 1997.

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8

Algebraic aspects of Darboux transformations, quantum integrable systems, and supersymmetric quantum mechanics. Providence, R.I: American Mathematical Society, 2012.

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9

Taniguchi International Symposium on the Theory of Condensed Matter (9th 1986 Susono-shi, Japan). Quantum Monte Carlo methods in equilibrium and nonequilibrium systems: Proceedings of the Ninth Taniguchi International Symposium, Susono, Japan, November 14-18, 1986. Edited by Suzuki M. 1937-. Berlin: Springer-Verlag, 1987.

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10

Suzuki, Masuo. Quantum Monte Carlo Methods in Equilibrium and Nonequilibrium Systems: Proceedings of the Ninth Taniguchi International Symposium, Susono, Japan, November 14-18, 1986. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987.

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11

1973-, Warzel Simone, ed. Random operators: Disorder effects on quantum spectra and dynamics. Providence, Rhode Island: American Mathematical Society, 2015.

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12

1975-, Sims Robert, and Ueltschi Daniel 1969-, eds. Entropy and the quantum II: Arizona School of Analysis with Applications, March 15-19, 2010, University of Arizona. Providence, R.I: American Mathematical Society, 2011.

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13

Schaller, Gernot. Open Quantum Systems Far from Equilibrium. Springer London, Limited, 2014.

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14

Barkhudarov, Evgeny. Renormalization Group Analysis of Equilibrium and Non-Equilibrium Charged Systems. Springer International Publishing AG, 2016.

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15

Giamarchi, Thierry, Andrew J. Millis, Olivier Parcollet, Hubert Saleur, and Leticia F. Cugliandolo, eds. Strongly Interacting Quantum Systems out of Equilibrium. Oxford University Press, 2016. http://dx.doi.org/10.1093/acprof:oso/9780198768166.001.0001.

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16

Renormalization Group Analysis of Equilibrium and Non-Equilibrium Charged Systems. Springer, 2014.

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17

Barkhudarov, Evgeny. Renormalization Group Analysis of Equilibrium and Non-Equilibrium Charged Systems. Springer London, Limited, 2014.

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18

Morawetz, Klaus. Interacting Systems far from Equilibrium: Quantum Kinetic Theory. Oxford University Press, 2018.

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19

Shastry, Abhay. Theory of Thermodynamic Measurements of Quantum Systems Far from Equilibrium. Springer International Publishing AG, 2020.

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20

Shastry, Abhay. Theory of Thermodynamic Measurements of Quantum Systems Far from Equilibrium. Springer, 2019.

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21

Attard, Phil. Entropy Beyond the Second Law: Thermodynamics and Statistical Mechanics for Equilibrium, Non-Equilibrium, Classical, and Quantum Systems. Iop Publishing Ltd, 2018.

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22

Morawetz, Klaus. Interacting Systems far from Equilibrium. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797241.001.0001.

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In quantum statistics based on many-body Green’s functions, the effective medium is represented by the selfenergy. This book aims to discuss the selfenergy from this point of view. The knowledge of the exact selfenergy is equivalent to the knowledge of the exact correlation function from which one can evaluate any single-particle observable. Complete interpretations of the selfenergy are as rich as the properties of the many-body systems. It will be shown that classical features are helpful to understand the selfenergy, but in many cases we have to include additional aspects describing the internal dynamics of the interaction. The inductive presentation introduces the concept of Ludwig Boltzmann to describe correlations by the scattering of many particles from elementary principles up to refined approximations of many-body quantum systems. The ultimate goal is to contribute to the understanding of the time-dependent formation of correlations. Within this book an up-to-date most simple formalism of nonequilibrium Green’s functions is presented to cover different applications ranging from solid state physics (impurity scattering, semiconductor, superconductivity, Bose–Einstein condensation, spin-orbit coupled systems), plasma physics (screening, transport in magnetic fields), cold atoms in optical lattices up to nuclear reactions (heavy-ion collisions). Both possibilities are provided, to learn the quantum kinetic theory in terms of Green’s functions from the basics using experiences with phenomena, and experienced researchers can find a framework to develop and to apply the quantum many-body theory straight to versatile phenomena.

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23

Kossakowski, A., M. Ohya, and Roman S. Ingarden. Information Dynamics and Open Systems: Classical and Quantum Approach. Springer, 2013.

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24

Strongly Interacting Quantum Systems out of Equilibrium : Lecture Notes of the Les Houches Summer School: Volume 99, August 2012. Oxford University Press, 2016.

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25

Information Dynamics and Open Systems: Classical And Quantum Approach. Springer, 2010.

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26

Strasberg, Philipp. Quantum Stochastic Thermodynamics. Oxford University PressOxford, 2022. http://dx.doi.org/10.1093/oso/9780192895585.001.0001.

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Abstract Processes at the nanoscale happen far away from the thermodynamic limit, far from equilibrium and are dominated by fluctuations and, perhaps, even quantum effects. This book establishes a consistent thermodynamic framework for such processes by combining tools from non-equilibrium statistical mechanics and the theory of open quantum systems. The book is accessible for graduate students and of interest to all researchers striving for a deeper understanding of the laws of thermodynamics beyond their traditional realm of applicability. It puts most emphasis on the microscopic derivation and understanding of key principles and concepts as well as their interrelation. The topics covered in this book include (quantum) stochastic processes, (quantum) master equations, local detailed balance, classical stochastic thermodynamics, (quantum) fluctuation theorems, strong coupling and non non-Markovian effects, thermodynamic uncertainty relations, operational approaches, Maxwell's demon and time-reversal symmetry, among other topics. Furthermore, the book treats a few applications in detail to illustrate the general theory and its potential for practical applications. These are single-molecule pulling experiments, quantum transport and thermoelectric effects in quantum dots, the micromaser and related set-ups in quantum optics.

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27

Horing, Norman J. Morgenstern. Quantum Statistical Field Theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.001.0001.

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The methods of coupled quantum field theory, which had great initial success in relativistic elementary particle physics and have subsequently played a major role in the extensive development of non-relativistic quantum many-particle theory and condensed matter physics, are at the core of this book. As an introduction to the subject, this presentation is intended to facilitate delivery of the material in an easily digestible form to students at a relatively early stage of their scientific development, specifically advanced undergraduates (rather than second or third year graduate students), who are mathematically strong physics majors. The mechanism to accomplish this is the early introduction of variational calculus with particle sources and the Schwinger Action Principle, accompanied by Green’s functions, and, in addition, a brief derivation of quantum mechanical ensemble theory introducing statistical thermodynamics. Important achievements of the theory in condensed matter and quantum statistical physics are reviewed in detail to help develop research capability. These include the derivation of coupled field Green’s function equations of motion for a model electron-hole-phonon system, extensive discussions of retarded, thermodynamic and non-equilibrium Green’s functions, and their associated spectral representations and approximation procedures. Phenomenology emerging in these discussions includes quantum plasma dynamic, nonlocal screening, plasmons, polaritons, linear electromagnetic response, excitons, polarons, phonons, magnetic Landau quantization, van der Waals interactions, chemisorption, etc. Considerable attention is also given to low-dimensional and nanostructured systems, including quantum wells, wires, dots and superlattices, as well as materials having exceptional conduction properties such as superconductors, superfluids and graphene.

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28

Sherwood, Dennis, and Paul Dalby. The biochemical standard state. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198782957.003.0023.

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Applying thermodynamics to biological systems requires the use of the biochemical standard state. Many texts do not mention the biochemical standard state, and most of those that do dismiss it in three sentences: ‘The equilibrium constant K refers to pH 0. For biological systems, that’s not convenient, and so the biochemical standard state is defined as pH 7. K then becomes K ′. When K ′ replaces K in all the equations, everything works’. This is most unsatisfactory: it is not obvious why K is linked to pH 0, and replacing K by K ′ seems to be a typographical trick. This chapter therefore explains clearly why K relates to pH 0, why this is important, how K ′ relates to the biologically more relevant pH 7, how the biochemical standard is defined and used, and how equations based on conventional standards can be transformed to the biochemical standard.

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29

Frontiers and Challenges in Warm Dense Matter. Springer, 2014.

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30

Local Operators in Integrable Models. American Mathematical Society, 2021.

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31

Succi, Sauro. Boltzmann’s Kinetic Theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199592357.003.0002.

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Kinetic theory is the branch of statistical physics dealing with the dynamics of non-equilibrium processes and their relaxation to thermodynamic equilibrium. Established by Ludwig Boltzmann (1844–1906) in 1872, his eponymous equation stands as its mathematical cornerstone. Originally developed in the framework of dilute gas systems, the Boltzmann equation has spread its wings across many areas of modern statistical physics, including electron transport in semiconductors, neutron transport, quantum-relativistic fluids in condensed matter and even subnuclear plasmas. In this Chapter, a basic introduction to the Boltzmann equation in the context of classical statistical mechanics shall be provided.

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32

Sklar, Lawrence. Causation in Statistical Mechanics. Edited by Helen Beebee, Christopher Hitchcock, and Peter Menzies. Oxford University Press, 2010. http://dx.doi.org/10.1093/oxfordhb/9780199279739.003.0033.

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In statistical mechanics causation appears at the micro-level as the postulation that the full state of a system at one time can be specified by the dynamical state of all its micro-constituents (the positions and momenta of the molecules in a gas or, alternatively the wave function of these at one time), and that this state at one time generates, following the laws of dynamics (classical or quantum) the future dynamical state of the system characterized in these micro-constituent terms. So what is ‘non-causal’ in nature in explanations in statistical mechanics? This article explores two issues: The peculiar ‘transcendental’ nature of explanation in equilibrium theory in statistical mechanics; The need for introducing some a priori probability posit over initial conditions of systems in non-equilibrium theory.

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33

Tiwari, Sandip. Semiconductor Physics. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198759867.001.0001.

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A graduate-level text, Semiconductor physics: Principles, theory and nanoscale covers the central topics of the field, together with advanced topics related to the nanoscale and to quantum confinement, and integrates the understanding of important attributes that go beyond the conventional solid-state and statistical expositions. Topics include the behavior of electrons, phonons and photons; the energy and entropic foundations; bandstructures and their calculation; the behavior at surfaces and interfaces, including those of heterostructures and their heterojunctions; deep and shallow point perturbations; scattering and transport, including mesoscale behavior, using the evolution and dynamics of classical and quantum ensembles from a probabilistic viewpoint; energy transformations; light-matter interactions; the role of causality; the connections between the quantum and the macroscale that lead to linear responses and Onsager relationships; fluctuations and their connections to dissipation, noise and other attributes; stress and strain effects in semiconductors; properties of high permittivity dielectrics; and remote interaction processes. The final chapter discusses the special consequences of the principles to the variety of properties (consequences of selection rules, for example) under quantum-confined conditions and in monolayer semiconductor systems. The text also bring together short appendices discussing transform theorems integral to this study, the nature of random processes, oscillator strength, A and B coefficients and other topics important for understanding semiconductor behavior. The text brings the study of semiconductor physics to the same level as that of the advanced texts of solid state by focusing exclusively on the equilibrium and off-equilibrium behaviors important in semiconductors.

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34

Sethna, James P. Statistical Mechanics: Entropy, Order Parameters, and Complexity. 2nd ed. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198865247.001.0001.

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This text distills the core ideas of statistical mechanics to make room for new advances important to information theory, complexity, active matter, and dynamical systems. Chapters address random walks, equilibrium systems, entropy, free energies, quantum systems, calculation and computation, order parameters and topological defects, correlations and linear response theory, and abrupt and continuous phase transitions. Exercises explore the enormous range of phenomena where statistical mechanics provides essential insight — from card shuffling to how cells avoid errors when copying DNA, from the arrow of time to animal flocking behavior, from the onset of chaos to fingerprints. The text is aimed at graduates, undergraduates, and researchers in mathematics, computer science, engineering, biology, and the social sciences as well as to physicists, chemists, and astrophysicists. As such, it focuses on those issues common to all of these fields, background in quantum mechanics, thermodynamics, and advanced physics should not be needed, although scientific sophistication and interest will be important.

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35

Glazov, M. M. Fluctuations of Electron and Nuclear Spins. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198807308.003.0010.

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In thermal equilibrium, both electron and nuclear spin systems are unpolarized on average, but characterized by nonzero fluctuations. These fluctuations are inevitable due to the quantum-mechanical nature of spin. The physics of spin fluctuations in electron and nucelar systems is studied in this chapter. The intensity and dynamics of these inevitable stochastic fluctuations of spins contain information on spin relaxation and decoherence times, spin precession period, and interactions in spin systems. The theory of spin fluctuations in semiconductor nanosystems as well as experimental advances in the field of spin noise spectroscopy are reviewed. Specific situations where the spin noise spectroscopy can be particularly useful for spin dynamics studies are discussed, the analysis of recent progress in the field of nonequlibrium spin fluctuations is also presented.

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36

Zaret, Barry L. Nuclear Cardiology. Oxford University Press, 2015. http://dx.doi.org/10.1093/med/9780199392094.003.0001.

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Nuclear cardiology is generally considered a clinical phenomenon of the past four decades. However, the field has its roots in earlier times. This chapter focuses on these historical roots as they have evolved into the present era. The initial application of radioisotopes to cardiac studies occurred in the mid-1920s. Ventricular function was evaluated in the 1960s and 1970s by first pass and equilibrium techniques. Myocardial stress perfusion imaging was first performed using potassium-43 and exercise in 1973. Stress imaging rapidly evolved thereafter with new tracers (thallium-201 and technetium-labeled agents) and from planar to SPECT approaches. Perfusion imaging rapidly proved its value diagnostically and in assessing prognosis. Infarct imaging reached its peak use in the 1970s but is now no longer employed. Advances in hybrid imaging, combining CT with radionuclide imaging has recently allowed attenuation correction as well as providing the combination of anatomic and physiologic data. PET myocardial perfusion studies have recently become a standard approach for evaluating perfusion, absolute coronary blood flow and coronary reserve. PET FDG studies of cardiac sarcoidosis have recently been established as a new approach for defining myocardial inflammation. New SPECT systems provide high sensitivity, high resolution studies, allowing for radiation dose reduction and high quality imaging studies.

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37

Fox, Raymond. The Use of Self. Oxford University Press, 2011. http://dx.doi.org/10.1093/oso/9780190616144.001.0001.

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This monograph presents recent advances in neural network (NN) approaches and applications to chemical reaction dynamics. Topics covered include: (i) the development of ab initio potential-energy surfaces (PES) for complex multichannel systems using modified novelty sampling and feedforward NNs; (ii) methods for sampling the configuration space of critical importance, such as trajectory and novelty sampling methods and gradient fitting methods; (iii) parametrization of interatomic potential functions using a genetic algorithm accelerated with a NN; (iv) parametrization of analytic interatomic potential functions using NNs; (v) self-starting methods for obtaining analytic PES from ab inito electronic structure calculations using direct dynamics; (vi) development of a novel method, namely, combined function derivative approximation (CFDA) for simultaneous fitting of a PES and its corresponding force fields using feedforward neural networks; (vii) development of generalized PES using many-body expansions, NNs, and moiety energy approximations; (viii) NN methods for data analysis, reaction probabilities, and statistical error reduction in chemical reaction dynamics; (ix) accurate prediction of higher-level electronic structure energies (e.g. MP4 or higher) for large databases using NNs, lower-level (Hartree-Fock) energies, and small subsets of the higher-energy database; and finally (x) illustrative examples of NN applications to chemical reaction dynamics of increasing complexity starting from simple near equilibrium structures (vibrational state studies) to more complex non-adiabatic reactions. The monograph is prepared by an interdisciplinary group of researchers working as a team for nearly two decades at Oklahoma State University, Stillwater, OK with expertise in gas phase reaction dynamics; neural networks; various aspects of MD and Monte Carlo (MC) simulations of nanometric cutting, tribology, and material properties at nanoscale; scaling laws from atomistic to continuum; and neural networks applications to chemical reaction dynamics. It is anticipated that this emerging field of NN in chemical reaction dynamics will play an increasingly important role in MD, MC, and quantum mechanical studies in the years to come.

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38

Raff, Lionel, Ranga Komanduri, Martin Hagan, and Satish Bukkapatnam. Neural Networks in Chemical Reaction Dynamics. Oxford University Press, 2012. http://dx.doi.org/10.1093/oso/9780199765652.001.0001.

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This monograph presents recent advances in neural network (NN) approaches and applications to chemical reaction dynamics. Topics covered include: (i) the development of ab initio potential-energy surfaces (PES) for complex multichannel systems using modified novelty sampling and feedforward NNs; (ii) methods for sampling the configuration space of critical importance, such as trajectory and novelty sampling methods and gradient fitting methods; (iii) parametrization of interatomic potential functions using a genetic algorithm accelerated with a NN; (iv) parametrization of analytic interatomic potential functions using NNs; (v) self-starting methods for obtaining analytic PES from ab inito electronic structure calculations using direct dynamics; (vi) development of a novel method, namely, combined function derivative approximation (CFDA) for simultaneous fitting of a PES and its corresponding force fields using feedforward neural networks; (vii) development of generalized PES using many-body expansions, NNs, and moiety energy approximations; (viii) NN methods for data analysis, reaction probabilities, and statistical error reduction in chemical reaction dynamics; (ix) accurate prediction of higher-level electronic structure energies (e.g. MP4 or higher) for large databases using NNs, lower-level (Hartree-Fock) energies, and small subsets of the higher-energy database; and finally (x) illustrative examples of NN applications to chemical reaction dynamics of increasing complexity starting from simple near equilibrium structures (vibrational state studies) to more complex non-adiabatic reactions. The monograph is prepared by an interdisciplinary group of researchers working as a team for nearly two decades at Oklahoma State University, Stillwater, OK with expertise in gas phase reaction dynamics; neural networks; various aspects of MD and Monte Carlo (MC) simulations of nanometric cutting, tribology, and material properties at nanoscale; scaling laws from atomistic to continuum; and neural networks applications to chemical reaction dynamics. It is anticipated that this emerging field of NN in chemical reaction dynamics will play an increasingly important role in MD, MC, and quantum mechanical studies in the years to come.

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39

Davidson, Sacha, Paolo Gambino, Mikko Laine, Matthias Neubert, and Christophe Salomon, eds. Effective Field Theory in Particle Physics and Cosmology. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198855743.001.0001.

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Effective field theory (EFT) is a general method for describing quantum systems with multiple-length scales in a tractable fashion. It allows us to perform precise calculations in established models (such as the standard models of particle physics and cosmology), as well as to concisely parametrize possible effects from physics beyond the standard models. EFTs have become key tools in the theoretical analysis of particle physics experiments and cosmological observations, despite being absent from many textbooks. This volume aims to provide a comprehensive introduction to many of the EFTs in use today, and covers topics that include large-scale structure, WIMPs, dark matter, heavy quark effective theory, flavour physics, soft-collinear effective theory, and more.

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40

Mashhoon, Bahram. Acceleration Kernel. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198803805.003.0003.

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The phenomenon of spin-rotation coupling provides the key to the determination of the kernel. Imagine an observer rotating in the positive sense about the direction of propagation of an incident plane monochromatic electromagnetic wave of positive helicity. Using the locality postulate, the field as measured by the rotating observer can be determined. If the observer rotates with the same frequency as the wave, the measured radiation field loses its temporal dependence. By a mere rotation, observers could in principle stay at rest with respect to an incident positive-helicity wave. To avoid this possibility, we assume that a basic radiation field cannot stand completely still with respect to an accelerated observer. This basic principle eventually leads to the determination of the kernel and a nonlocal theory of accelerated systems that is in better agreement with quantum mechanics than the standard theory based on the hypothesis of locality.

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41

Rau, Jochen. Statistical Physics and Thermodynamics. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780199595068.001.0001.

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Statistical physics and thermodynamics describe the behaviour of systems on the macroscopic scale. Their methods are applicable to a wide range of phenomena: from heat engines to chemical reactions, from the interior of stars to the melting of ice. Indeed, the laws of thermodynamics are among the most universal ones of all laws of physics. Yet this subject can prove difficult to grasp. Many view thermodynamics as merely a collection of ad hoc recipes, or are confused by unfamiliar novel concepts, such as the entropy, which have little in common with the theories to which students have got accustomed in other areas of physics. This text provides a concise yet thorough introduction to the key concepts which underlie statistical physics and thermodynamics. It begins with a review of classical probability theory and quantum theory, as well as a careful discussion of the notions of information and entropy, prior to embarking on the development of statistical physics proper. The crucial steps leading from the microscopic to the macroscopic domain are rendered transparent. In particular, the laws of thermodynamics are shown to emerge as natural consequences of the statistical framework. While the emphasis is on clarifying the basic concepts, the text also contains many applications and classroom-tested exercises, covering all major topics of a standard course on statistical physics and thermodynamics. The text is suited both for a one-semester course at the advanced undergraduate or beginning graduate level and as a self-contained tutorial guide for students in physics, chemistry, and engineering.

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42

Mee, Nicholas. The Cosmic Mystery Tour. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198831860.001.0001.

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The Cosmic Mystery Tour is a brief account of modern physics and astronomy presented in a broad historical and cultural context. The book is attractively illustrated and aimed at the general reader. Part I explores the laws of physics including general relativity, the structure of matter, quantum mechanics and the Standard Model of particle physics. It discusses recent discoveries such as gravitational waves and the project to construct LISA, a space-based gravitational wave detector, as well as unresolved issues such as the nature of dark matter. Part II begins by considering cosmology, the study of the universe as a whole and how we arrived at the theory of the Big Bang and the expanding universe. It looks at the remarkable objects within the universe such as red giants, white dwarfs, neutron stars and black holes, and considers the expected discoveries from new telescopes such as the Extremely Large Telescope in Chile, and the Event Horizon Telescope, currently aiming to image the supermassive black hole at the galactic centre. Part III considers the possibility of finding extraterrestrial life, from the speculations of science fiction authors to the ongoing search for alien civilizations known as SETI. Recent developments are discussed: space probes to the satellites of Jupiter and Saturn; the discovery of planets in other star systems; the citizen science project SETI@Home; Breakthrough Starshot, the project to develop technologies to send spacecraft to the stars. It also discusses the Fermi paradox which argues that we might actually be alone in the cosmos

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Книги з теми "Standard Equilibrium Quantum Systems"

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