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Books on the topic 'Quantum mappings'

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Author: Grafiati

Published: 10 December 2022

Last updated: 28 January 2023

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1

From quantum cohomology to integrable systems. Oxford: Oxford University Press, 2008.

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2

Quantum topology and global anomalies. Singapore: World Scientific, 1996.

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3

1931-, Milnor John Willard, Lyubich Mikhail 1959-, Yampolsky Michael 1972-, and Fields Institute for Research in Mathematical Sciences., eds. Holomorphic dynamics and renormalization: A volume in honour of John Milnor's 75th birthday. Providence, R.I: American Mathematical Society, 2008.

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4

1942-, Graaf J. de, ed. Trajectory spaces, generalized functions, and unbounded operators. Berlin: Springer-Verlag, 1985.

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5

Energy-based vegetation mapping: A case study in statistical quantum ecology. Canada]: SCADA Publishing - Canada, 2014.

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6

Kaku, Michio. Strings, Conformal Fields, and M-Theory. New York, NY: Springer New York, 2000.

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7

Buff, Xavier. Moduli spaces of curves, mapping class groups and field theory. Providence, R.I: American Mathematical Society, 2003.

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8

A mathematical introduction to conformal field theory. 2nd ed. Berlin: Springer, 2008.

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9

Steven, Rosenberg, and Clara L. Aldana. Analysis, geometry, and quantum field theory: International conference in honor of Steve Rosenberg's 60th birthday, September 26-30, 2011, Potsdam University, Potsdam, Germany. Providence, Rhode Island: American Mathematical Society, 2012.

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10

Harmonic maps and differential geometry: A harmonic map fest in honour of John C. Wood's 60th birthday, September 7-10, 2009, Cagliari, Italy. Providence, R.I: American Mathematical Society, 2011.

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11

What remains to be discovered: Mapping the secrets of the universe, the origins of life, and the future of the human race. London: Macmillan, 1998.

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12

Maddox, John Royden. What remains to be discovered: Mapping the secrets of the universe, the origins of life, and the future of the human race. Basingstoke: Papermac, 1999.

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13

What remains to be discovered: Mapping the secrets of the universe, the origins of life, and the future of the human race. New York: Martin Kessler Books, 1998.

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14

Guest, Martin A. From Quantum Cohomology to Integrable Systems. Oxford University Press, 2008.

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15

Mapping of Parent Hamiltonians Springer Tracts in Modern Physics Hardcover. Springer, 2011.

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16

Al-Khalili, Jim. Mapping Science: The Quantum World. Weidenfeld Nicolson Illustrated, 2002.

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17

Palchik, Mark Ya, and E. S. Fradkin. Conformal Quantum Field Theory in D-dimensions. Springer, 2010.

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18

Palchik, Mark Ya, and E. S. Fradkin. Conformal Quantum Field Theory in D-Dimensions. Springer, 2013.

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19

Mishra, Brojo Kishore. Technology Road Mapping for Quantum Computing and Engineering. IGI Global, 2022.

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20

Mishra, Brojo Kishore. Technology Road Mapping for Quantum Computing and Engineering. IGI Global, 2022.

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21

Mishra, Brojo Kishore. Technology Road Mapping for Quantum Computing and Engineering. IGI Global, 2022.

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22

Mishra, Brojo Kishore, ed. Technology Road Mapping for Quantum Computing and Engineering. IGI Global, 2022. http://dx.doi.org/10.4018/978-1-7998-9183-3.

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23

Mishra, Brojo Kishore. Technology Road Mapping for Quantum Computing and Engineering. IGI Global, 2022.

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24

Mishra, Brojo Kishore. Technology Road Mapping for Quantum Computing and Engineering. IGI Global, 2021.

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25

Chekhov, Leonid. Two-dimensional quantum gravity. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.30.

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This article discusses the connection between large N matrix models and critical phenomena on lattices with fluctuating geometry, with particular emphasis on the solvable models of 2D lattice quantum gravity and how they are related to matrix models. It first provides an overview of the continuum world sheet theory and the Liouville gravity before deriving the Knizhnik-Polyakov-Zamolodchikov scaling relation. It then describes the simplest model of 2D gravity and the corresponding matrix model, along with the vertex/height integrable models on planar graphs and their mapping to matrix models. It also considers the discretization of the path integral over metrics, the solution of pure lattice gravity using the one-matrix model, the construction of the Ising model coupled to 2D gravity discretized on planar graphs, the O(n) loop model, the six-vertex model, the q-state Potts model, and solid-on-solid and ADE matrix models.

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26

Schottenloher, Martin. Mathematical Introduction to Conformal Field Theory. Springer, 2008.

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27

Schottenloher, Martin. Mathematical Introduction to Conformal Field Theory. Springer Berlin / Heidelberg, 2010.

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28

Schottenloher, Martin. Mathematical Introduction to Conformal Field Theory: Based on a Series of Lectures Given at the Mathematisches Institut der Universität Hamburg. Springer London, Limited, 2008.

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29

Moduli spaces of curves, mapping class groups, and field theory. Providence, R.I: American Mathematical Society, 2003.

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30

Introduction To Conformal Field Theory With Applications To String Theory. Springer, 2009.

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31

Greiter, Martin. Mapping of Parent Hamiltonians: From Abelian and non-Abelian Quantum Hall States to Exact Models of Critical Spin Chains. Springer, 2011.

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32

Greiter, Martin. Mapping of Parent Hamiltonians: From Abelian and Non-Abelian Quantum Hall States to Exact Models of Critical Spin Chains. Springer Berlin / Heidelberg, 2014.

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33

Greiter, Martin. Mapping of Parent Hamiltonians: From Abelian and Non-Abelian Quantum Hall States to Exact Models of Critical Spin Chains. Springer London, Limited, 2011.

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34

Vigdor, Steven E. The Edge of the Abyss. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198814825.003.0008.

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Chapter 8 deals with the apparent perching of the physical vacuum state in the universe on the edge between stability and meta-stability, at least within the standard model, in light of the mass of the recently discovered Higgs boson. Standard model calculations mapping vacuum stability as a function of Higgs boson and top quark masses are presented. The dramatic unveiling of the Higgs boson signal by the enormous detectors at the Large Hadron Collider is reviewed. Possible interpretations and implications of meta-stability, including unlikely doomsday scenarios, are discussed. The hierarchy problem is presented as a theoretical conundrum arising from the vast gap between the Higgs boson mass and the Planck mass scale at which an as-yet undeveloped theory of quantum gravity becomes essential. Various speculative theoretical approaches, including supersymmetry, to physics beyond the standard model that might address the hierarchy problem and other outstanding particle physics mysteries are mentioned.

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35

Chen, C. Julian. Introduction to Scanning Tunneling Microscopy. 3rd ed. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198856559.001.0001.

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The scanning tunnelling microscope (STM) was invented by Binnig and Rohrer and received a Nobel Prize of Physics in 1986. Together with the atomic force microscope (AFM), it enables non-destructive observing and mapping atoms and molecules on solid surfaces down to a picometer resolution. A recent development is the non-destructive observation of wavefunctions in individual atoms and molecules, including nodal structures inside the wavefunctions. STM and AFM have become indespensible instruments for scientists of various disciplines, including physicists, chemists, engineers, and biologists to visualize and utilize the microscopic world around us. Since the publication of the first edition in 1993, this book has been recognized as a standard introduction for everyone that starts working with scanning probe microscopes, and a useful reference book for those more advanced in the field. After an Overview chapter accessible for newcomers at an entry level presenting the basic design, scientific background, and illustrative applications, the book has three Parts. Part I, Principles, provides the most systematic and detailed theory of its scientific bases from basic quantum mechancis and condensed-metter physics in all available literature. Quantitative analysis of its imaging mechanism for atoms, molecules, and wavefunctions is detailed. Part II, Instrumentation, provides down to earth descriptions of its building components, including piezoelectric scanners, vibration isolation, electronics, software, probe tip preparation, etc. Part III, Related methods, presenting two of its most important siblings, scanning tunnelling specgroscopy and atomic force miscsoscopy. The book has five appendices for background topics, and 405 references for further readings.

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