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Books on the topic 'Many-body quantum mechanic'

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Author: Grafiati

Published: 11 March 2023

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1

March, Norman H. The many-body problem in quantum mechanics. New York: Dover Publications, 1995.

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2

Bethe, Hans Albrecht. Quantum mechanics of one- and two-electron atoms. Mineola, N.Y: Dover Publications, 2008.

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3

Van, Neck Dimitri, ed. Many-body theory exposed!: Propagator description of quantum mechanics in many-body systems. 2nd ed. Hackensack, NJ: World Scientific, 2008.

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4

Van, Neck Dimitri, ed. Many-body theory exposed!: Propagator description of quantum mechanics in many-body systems. Hackensack, NJ: World Scientific, 2005.

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5

Dickhoff, Willem Hendrik. Many-body theory exposed!: Propagator description of quantum mechanics in many-body systems. Singapore: World Scientific, 2006.

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6

Balslev, Erik, ed. Schrö'dinger Operators The Quantum Mechanical Many-Body Problem. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/3-540-55490-4.

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7

Erik, Balslev, ed. Schrödinger operators: The quantum mechanical many-body problem. Berlin: Springer-Verlag, 1992.

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8

M, Eisenberg Judah, ed. Quantum mechanics of many degrees of freedom. New York: Wiley, 1988.

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9

Trump, M. A. Classical Relativistic Many-Body Dynamics. Dordrecht: Springer Netherlands, 1999.

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10

Mathematical methods of many-body quantum field theory. Boca Raton: Chapman & Hall/CRC, 2005.

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11

Many-body problems and quantum field theory. New York: Springer, 2001.

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12

Ran, Shi-Ju. Tensor Network Contractions: Methods and Applications to Quantum Many-Body Systems. Cham: Springer Nature, 2020.

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13

Kadanoff, Leo P. Quantum statistical mechanics: Green's function methods in equilibrium and nonequilibrium problems. Redwood City, Calif: Addison-Wesley Pub. Co., Advanced Book Program, 1989.

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14

Calzetta, Esteban A. Nonequilibrium quantum field theory. New York: Cambridge University Press, 2008.

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15

Brueckner, Keith A., D. J. Thouless, and H. S. W. Massey. Quantum Mechanics of Many-Body Systems. Elsevier Science & Technology Books, 2013.

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16

Boudreau, Joseph F., and Eric S. Swanson. Quantum mechanics II–many body systems. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198708636.003.0023.

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Chapter 23 develops formalism relevant to atomic and molecular electronic structure. A review of the product Ansatz, the Slater determinant, and atomic configurations is followed by applications to small atoms. Then the self-consistent Hartree-Fock method is introduced and applied to larger atoms. Molecular structure is addressed by introducing an adiabatic separation of scales and the construction of molecular orbitals. The use of specialized bases for molecular computations is also discussed. Density functional theory and its application to complicated molecules is introduced and the local density approximation and the Kohn-Sham procedure for solving the functional equations are explained. Techniques for moving beyond the local density approximation are briefly reviewed.

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17

Thouless, David J. Quantum Mechanics of Many-Body Systems. Dover Publications, Incorporated, 2014.

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18

Thouless, David J. Quantum Mechanics of Many-Body Systems. Dover Publications, Incorporated, 2013.

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19

Thouless, David J. Quantum Mechanics of Many-Body Systems. Dover Publications, Incorporated, 2013.

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20

Stumpf, H., Erich W. Schmid, and Horst Ziegelmann. Quantum Mechanical Three-Body Problem: Vieweg Tracts in Pure and Applied Physics. Elsevier Science & Technology Books, 2017.

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21

Succi, Sauro. QLB for Quantum Many-Body and Quantum Field Theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199592357.003.0033.

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Chapter 32 expounded the basic theory of quantum LB for the case of relativistic and non-relativistic wavefunctions, namely single-particle quantum mechanics. This chapter goes on to cover extensions of the quantum LB formalism to the overly challenging arena of quantum many-body problems and quantum field theory, along with an appraisal of prospective quantum computing implementations. Solving the single particle Schrodinger, or Dirac, equation in three dimensions is a computationally demanding task. This task, however, pales in front of the ordeal of solving the Schrodinger equation for the quantum many-body problem, namely a collection of many quantum particles, typically nuclei and electrons in a given atom or molecule.

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22

Bonch-Bruevich, V. L. The Green function method in statistical mechanics. 2015.

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23

Balslev, Erik. Schrodinger Operators - The Quantum Mechanical Many-body Problem. Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1992.

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24

Leeuwen, Robert van, and Gianluca Stefanucci. Nonequilibrium Many-Body Theory of Quantum Systems. Cambridge University Press, 2013.

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25

Balslev, Erik. Schrödinger Operators The Quantum Mechanical Many-Body Problem: Proceedings of a Workshop Held at Aarhus, Denmark 15 May - 1 August 1991. Springer, 2014.

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26

Balslev, Erik. Schrödinger Operators the Quantum Mechanical Many-Body Problem: Proceedings of a Workshop Held at Aarhus, Denmark 15 May - 1 August 1991. Springer London, Limited, 2006.

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27

Sigal, I. M. Scattering Theory for Many-Body Quantum Mechanical Systems: Rigorous Results. Springer London, Limited, 2006.

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28

Kuzemsky, Alexander Leonidovich. Statistical Mechanics and the Physics of Many-Particle Model Systems. World Scientific Publishing Co Pte Ltd, 2017.

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29

Lehmann, Detlef. Mathematical Methods of Many-Body Quantum Field Theory. Taylor & Francis Group, 2004.

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30

Lehmann, Detlef. Mathematical Methods of Many-Body Quantum Field Theory. Taylor & Francis Group, 2004.

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31

Lehmann, Detlef. Mathematical Methods of Many-Body Quantum Field Theory. Taylor & Francis Group, 2019.

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32

Lehmann, Detlef. Mathematical Methods of Many-Body Quantum Field Theory. Taylor & Francis Group, 2019.

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33

Leeuwen, Robert van, and Gianluca Stefanucci. Nonequilibrium Many-Body Theory of Quantum Systems: A Modern Introduction. Cambridge University Press, 2013.

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34

Leeuwen, Robert van, and Gianluca Stefanucci. Nonequilibrium Many-Body Theory of Quantum Systems: A Modern Introduction. Cambridge University Press, 2013.

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35

Leeuwen, Robert van, and Gianluca Stefanucci. Nonequilibrium Many-Body Theory of Quantum Systems: A Modern Introduction. Cambridge University Press, 2013.

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36

Tirrito, Emanuele, Cheng Peng, Xi Chen, Shi-Ju Ran, and Luca Tagliacozzo. Tensor Network Contractions: Methods and Applications to Quantum Many-Body Systems. Springer International Publishing AG, 2020.

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37

Back-Of-the-Envelope Quantum Mechanics: With Extensions to Many-Body Systems and Integrable Pdes. World Scientific Publishing Co Pte Ltd, 2013.

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38

Sabin, John R., and Per-Olov Lowdin. Advances in Quantum Chemistry. Academic Press, 1989.

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39

Wezel, Jasper Van. Quantum Mechanics and the Big World: Order, Broken Symmetry and Coherence in Quantum Many-body Systems. Amsterdam University Press, 2007.

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40

Wezel, Jasper Van. Quantum Mechanics and the Big World: Order, Broken Symmetry and Coherence in Quantum Many-Body Systems. Amsterdam University Press, 2010.

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41

Wezel, Jasper van. Quantum Mechanics and the Big World: Order, Broken Symmetry and Coherence in Quantum Many-Body Systems. Amsterdam University Press, 2007.

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42

Martin, Philippe A., and Francois Rothen. Many Body Problems and Quantum Field Theory: An Introduction. Springer, 2001.

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43

Many-Body Problems and Quantum Field Theory: An Introduction. Springer London, Limited, 2013.

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44

Calzetta, Esteban A., and Bei-Lok B. Hu. Nonequilibrium Quantum Field Theory. Cambridge University Press, 2009.

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45

Calzetta, Esteban A., and Bei-Lok B. Hu. Nonequilibrium Quantum Field Theory. Cambridge University Press, 2008.

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46

Calzetta, Esteban A., and Bei-Lok B. Hu. Nonequilibrium Quantum Field Theory. Cambridge University Press, 2008.

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47

Hu, B. L., and Esteban A. Calzetta. Nonequilibrium Quantum Field Theory. Cambridge University Press, 2008.

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48

Nonequilibrium Quantum Field Theory. Cambridge University Press, 2022.

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49

Nonequilibrium Quantum Field Theory. Cambridge University Press, 2022.

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50

Henriksen, Niels Engholm, and Flemming Yssing Hansen. Bimolecular Reactions, Dynamics of Collisions. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805014.003.0004.

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This chapter discusses the dynamics of bimolecular collisions within the framework of (quasi-)classical mechanics as well as quantum mechanics. The relation between the cross-section and the reaction probability, which can be calculated theoretically from a (quasi-)classical or quantum mechanical description of the collision, is described in terms of classical trajectories and wave packets, respectively. As an introduction to reactive scattering, classical two-body scattering is described and used to formulate simple models for chemical reactions, based on reasonable assumptions for the reaction probability. Three-body (and many-body) quasi-classical scattering is formulated and the numerical evaluation of the reaction probability is described. The relation between scattering angles and differential cross-sections in various frames is emphasized. The chapter concludes with a brief description of non-adiabatic dynamics, that is, situations beyond the Born–Oppenheimer approximation where more than one electronic state is in play. A discussion of the so-called Landau–Zener model is included.

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