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Books on the topic 'Fermion interactions'

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Author: Grafiati

Published: 10 December 2022

Last updated: 28 January 2023

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1

Mulay, Shashikant, John J. Quinn, and Mark Shattuck. Strong Fermion Interactions in Fractional Quantum Hall States. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-00494-1.

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2

Iachello, F. The interacting Boson-Fermion model. Cambridge [England]: Cambridge University Press, 1991.

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3

Kopietz, Peter. Bosonization of interacting fermions in arbitrary dimensions. Berlin: Springer, 1997.

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4

Will, Sebastian. From atom optics to quantum simulation: Interacting bosons and fermions in three-dimensional optical lattice potentials. Berlin: Springer, 2013.

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5

Kopietz, Peter. Bosonization of Interacting Fermions in Arbitrary Dimensions. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-540-68495-4.

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6

Casten, R. F. Algebraic approaches to nuclear structure: Interacting boson and fermion models. Langhorne, Pa: Harwood Academic Publishers, 1993.

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7

R, Casten, ed. Algebraic approaches to nuclear structure: Interacting boson and fermion models. Langhorne, Pa: Harwood Academic Publishers, 1993.

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8

Nozières, Philippe. Theory of interacting Fermi systems. Reading, Mass: Addison-Wesley, 1997.

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9

Interacting boson models of nuclear structure. Oxford: Clarendon Press, 1989.

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10

Bonatsos, D. Interacting boson models of nuclear structure. Oxford: Clarendon, 1988.

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11

Vos, Fernando Leonard Jacobus. On fermionic correlations in high-temperature superconductors and molecular systems. [Leiden: University of Leiden, 1998.

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12

Pedra, W. de Siqueira (Walter de Siqueira), 1975-, ed. Non-cooperative equilibria of Fermi systems with long range interactions. Providence, Rhode Island: American Mathematical Society, 2013.

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13

Fujita, T. Bosons after symmetry breaking in quantum field theory. Hauppauge NY: Nova Science Publishers, 2009.

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14

1950-, Müller Berndt, ed. Gauge theory of weak interactions. 4th ed. Heidelberg: Springer, 2009.

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15

Lepton and photon interactions at high energies: Proceedings of the XXI International Symposium : Fermi National Accelerator Laboraytory, USA, 11-16 August 2003. Singapore: World Scientific, 2004.

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16

Van, Tran J. Thanh, ed. Progress in electroweak interactions: Proceedings of the Leptonic Session of the Twenty-First Rencontre de Moriond, Les Arcs, Savoie, France, March 9-16, 1986. Gif sur Yvette, France: Editions Frontières, 1986.

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17

Kruis, Harm Vincent. On hidden order in Luttinger liquids. [Leiden?: s.n.], 2003.

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18

International Symposium on Lepton and Photon Interactions at High Energies (21st 2003 Batavia, Illinois). Lepton and photon interactions at high energies: Proceedings of the XXI International Symposium : Fermi National Accelerator Laboratory, USA, 11-16 August 2003. Edited by Cheung Harry W. K and Pratt Tracey S. [River Edge] New Jersey: World Scientific, 2004.

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19

Topical Workshop on Proton-Antiproton Collider Physics. (7th 1988 Batavia, Ill.). Proceedings of the 7th Topical Workshop on Proton-Antiproton Collider Physics: 20-24 June, 1988, Fermi National Accelerator Laboratory, Batavia, Illinois, U.S.A. Edited by Raja Rajendran, Tollestrup Alvin, and Yoh John. Singapore: World Scientific, 1989.

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20

Blaha, Stephen. The origin of the standard model: The genesis of four quark and lepton species, parity violation, the electro weak sector, color SU(3), three visible generations of fermions, and one generation of dark matter with dark energy ; Quantum theory of the third kind : a new type of divergence-free quantum field theory supporting a unified standard model of elementary particles and quantum gravity based on a new method in the calculus of variations. Auburn, NH: Pingree-Hill Publishing, 2006.

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21

Quinn, John J., Shashikant Mulay, and Mark Shattuck. Strong Fermion Interactions in Fractional Quantum Hall States: Correlation Functions. Springer, 2018.

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22

Quinn, John J., Shashikant Mulay, and Mark Shattuck. Strong Fermion Interactions in Fractional Quantum Hall States: Correlation Functions. Springer, 2019.

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23

Kachelriess, Michael. GSW model of electroweak interactions. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802877.003.0014.

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The electroweak sector of the SM described by an SUL(2)UY(1) gauge symmetry which is broken spontaneously to Uem(1) is introduced. The generation of boson and fermion masses by the Higgs effect is discussed. The properties of the Higgs sector are examined. The conditions for decoupling and the hierarchy problem are discussed.

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24

Isacker, P. van, and F. Iachello. Interacting Boson-Fermion Model. Cambridge University Press, 2011.

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25

Isacker, P. van, and F. Iachello. Interacting Boson-Fermion Model. Cambridge University Press, 2009.

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26

Isacker, P. van, and F. Iachello. The Interacting Boson-Fermion Model (Cambridge Monographs on Mathematical Physics). Cambridge University Press, 2005.

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27

Fermions en forte interaction et supraconductivité à haute température =: Strongly interacting fermions and high Tc superconductivity. Amsterdam: Elsevier, 1995.

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28

Horing, Norman J. Morgenstern. Interacting Electron–Hole–Phonon System. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0011.

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Chapter 11 employs variational differential techniques and the Schwinger Action Principle to derive coupled-field Green’s function equations for a multi-component system, modeled as an interacting electron-hole-phonon system. The coupled Fermion Green’s function equations involve five interactions (electron-electron, hole-hole, electron-hole, electron-phonon, and hole-phonon). Starting with quantum Hamilton equations of motion for the various electron/hole creation/annihilation operators and their nonequilibrium average/expectation values, variational differentiation with respect to particle sources leads to a chain of coupled Green’s function equations involving differing species of Green’s functions. For example, the 1-electron Green’s function equation is coupled to the 2-electron Green’s function (as earlier), also to the 1-electron/1-hole Green’s function, and to the Green’s function for 1-electron propagation influenced by a nontrivial phonon field. Similar remarks apply to the 1-hole Green’s function equation, and all others. Higher order Green’s function equations are derived by further variational differentiation with respect to sources, yielding additional couplings. Chapter 11 also introduces the 1-phonon Green’s function, emphasizing the role of electron coupling in phonon propagation, leading to dynamic, nonlocal electron screening of the phonon spectrum and hybridization of the ion and electron plasmons, a Bohm-Staver phonon mode, and the Kohn anomaly. Furthermore, the single-electron Green’s function with only phonon coupling can be rewritten, as usual, coupled to the 2-electron Green’s function with an effective time-dependent electron-electron interaction potential mediated by the 1-phonon Green’s function, leading to the polaron as an electron propagating jointly with its induced lattice polarization. An alternative formulation of the coupled Green’s function equations for the electron-hole-phonon model is applied in the development of a generalized shielded potential approximation, analysing its inverse dielectric screening response function and associated hybridized collective modes. A brief discussion of the (theoretical) origin of the exciton-plasmon interaction follows.

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29

Iachello, F. Interacting Bose-Fermi Systems in Nuclei. Springer London, Limited, 2013.

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30

Interacting Bose-Fermi Systems in Nuclei. Springer, 2013.

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31

Kopietz, Peter. Bosonization of Interacting Fermions in Arbitrary Dimensions. Springer, 2013.

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32

Kopietz, Peter. Bosonization of Interacting Fermions in Arbitrary Dimensions. Springer London, Limited, 2008.

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33

Scholten, Olaf. Workshop on Interacting Boson-Boson and Boson-Fermion Systems. World Scientific Pub Co Inc, 1985.

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34

Nozieres, Philippe. Theory of Interacting Fermi Systems. Taylor & Francis Group, 2018.

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35

Nozieres, Philippe. Theory of Interacting Fermi Systems. Avalon Publishing, 2014.

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36

Theory of Interacting Fermi Systems. Avalon Publishing, 1997.

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37

Nozieres, Philippe. Theory of Interacting Fermi Systems. Taylor & Francis Group, 2018.

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38

Nozieres, Philippe. Theory of Interacting Fermi Systems. Taylor & Francis Group, 2018.

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39

Nozieres, Philippe. Theory of Interacting Fermi Systems. Taylor & Francis Group, 2018.

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40

Nozieres, Philippe. Theory Of Interacting Fermi Systems. CRC Press, 2018. http://dx.doi.org/10.1201/9780429495724.

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41

(Editor), B. Doucot, and J. Zinn-Juistin (Editor), eds. Strongly Interacting Fermions and High Tc Superconductivity. Elsevier Science Pub Co, 1995.

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42

Iachello, F. Interacting Bose-Fermi Systems in Nuclei. Springer, 2013.

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43

Kenyon, Ian R. Quantum 20/20. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198808350.001.0001.

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This text reviews fundametals and incorporates key themes of quantum physics. One theme contrasts boson condensation and fermion exclusivity. Bose–Einstein condensation is basic to superconductivity, superfluidity and gaseous BEC. Fermion exclusivity leads to compact stars and to atomic structure, and thence to the band structure of metals and semiconductors with applications in material science, modern optics and electronics. A second theme is that a wavefunction at a point, and in particular its phase is unique (ignoring a global phase change). If there are symmetries, conservation laws follow and quantum states which are eigenfunctions of the conserved quantities. By contrast with no particular symmetry topological effects occur such as the Bohm–Aharonov effect: also stable vortex formation in superfluids, superconductors and BEC, all these having quantized circulation of some sort. The quantum Hall effect and quantum spin Hall effect are ab initio topological. A third theme is entanglement: a feature that distinguishes the quantum world from the classical world. This property led Einstein, Podolsky and Rosen to the view that quantum mechanics is an incomplete physical theory. Bell proposed the way that any underlying local hidden variable theory could be, and was experimentally rejected. Powerful tools in quantum optics, including near-term secure communications, rely on entanglement. It was exploited in the the measurement of CP violation in the decay of beauty mesons. A fourth theme is the limitations on measurement precision set by quantum mechanics. These can be circumvented by quantum non-demolition techniques and by squeezing phase space so that the uncertainty is moved to a variable conjugate to that being measured. The boundaries of precision are explored in the measurement of g-2 for the electron, and in the detection of gravitational waves by LIGO; the latter achievement has opened a new window on the Universe. The fifth and last theme is quantum field theory. This is based on local conservation of charges. It reaches its most impressive form in the quantum gauge theories of the strong, electromagnetic and weak interactions, culminating in the discovery of the Higgs. Where particle physics has particles condensed matter has a galaxy of pseudoparticles that exist only in matter and are always in some sense special to particular states of matter. Emergent phenomena in matter are successfully modelled and analysed using quasiparticles and quantum theory. Lessons learned in that way on spontaneous symmetry breaking in superconductivity were the key to constructing a consistent quantum gauge theory of electroweak processes in particle physics.

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44

Casten, Richard F., and Pertti O. Lipas. Algebraic Approaches to Nuclear Structure: Interacting Boson and Fermion Models (Contemporary Concepts in Physics). CRC, 1993.

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45

Castenholz, A. Algebraic Approaches to Nuclear Structure: Interacting Boson and Fermion Models (Contemporary Concepts in Physics, Vol 6). CRC, 1993.

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46

Glazov, M. M. Hyperfine Interaction of Electron and Nuclear Spins. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198807308.003.0004.

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This chapter discusses the key interaction–hyperfine coupling–which underlies most of phenomena in the field of electron and nuclear spin dynamics. This interaction originates from magnetic interaction between the nuclear and electron spins. For conduction band electrons in III–V or II–VI semiconductors, it is reduced to a Fermi contact interaction whose strength is proportional to the probability of finding an electron at the nucleus. A more complex situation is realized for valence band holes where hole Bloch functions vanish at the nuclei. Here the hyperfine interaction is of the dipole–dipole type. The modification of the hyperfine coupling Hamiltonian in nanosystems is also analyzed. The chapter contains also an overview of experimental data aimed at determination of the hyperfine interaction parameters in semiconductors and semiconductor nanostructures.

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47

Will, Sebastian. From Atom Optics to Quantum Simulation: Interacting Bosons and Fermions in Three-Dimensional Optical Lattice Potentials. Springer London, Limited, 2012.

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48

Will, Sebastian. From Atom Optics to Quantum Simulation: Interacting Bosons and Fermions in Three-Dimensional Optical Lattice Potentials. Springer Berlin / Heidelberg, 2015.

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49

Progress in electroweak interactions: Proceedings of the Leptonic Session of the Twenty-First Rencontre de Moriond, Les Arcs, Savoie, France, March 9-16, 1986. Editions Frontieres, 1986.

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50

Kachelriess, Michael. Anomalies, instantons and axions. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802877.003.0017.

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The axial anomaly is derived both from the non-invariance of the path-integral measure under UA(1) transformations and calculations of specific triangle diagrams. It is demonstrated that the anomalous terms are cancelled in the electroweak sector of the standard model, if the electric charge of all fermions adds up to zero. The CP-odd term F̃μν‎Fμν‎ introduced by the axial anomaly is a gauge-invariant renormalisable interaction which is also generated by instanton transitions between Yang–Mills vacua with different winding numbers. The Peceei–Quinn symmetry is discussed as a possible explanation why this term does not contribute to the QCD action.

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