An introduction to the quantum theory of many particles applied to solid state physics

Authors

  • José Antônio Trindade Borges da Costa Departamento de Física, Centro de Ciências Naturais e Exatas - CCNE Universidade Federal de Santa Maria - UFSM, Santa Maria, RS. https://orcid.org/0000-0001-6189-4253

DOI:

https://doi.org/10.5902/2179460X26313

Abstract

Some fundamental concepts and mathematical tools of the quant um theory of many particle systems, which are indispensable to the study of solid state physics. are presented. The concepts of collective excitations and quasi-particles are stressed. Concerning the mathematical tools, Quantum Mechanics is presented in its general, representation independent formalism. The many-particle problem is approached in the occupation number representation, or second quantization. Finally, as an application the interaction between electrons and the vibrations of a crystal lattice, described in terms of elementary excitations of collective waves, i.e., phonons, is expressed and discussed within this framework.

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References

J.A.T. Borges da Costa, "Física Quântica- Uma Introdução à Física do Estado Sólido". Tópicos de Física Contemporânea. Ed.: J.A.T Borges da Costa e Ronaldo Mota, Anais do I Encontro Regional de Atualização em Física, Sociedade Brasileira de Física - Universidade Federal de Santa Maria, Santa Maria, RS, 2 a 5 de dezembro de 1987, p.7.

O. Madelung, Introduction to Solid State Theory, Springer-Verlag, Berlin, 1978.

P.L. Taylor, A Quantum Approach to the Solid State, Prentice-Hall, Englewood Cliffs, 1970.

A. Messiah, Quantum Mechanics, North Holland Publishing. Company, Amsterdam, 1965.

P.A.M. Dirac, The Principles of Quantum Mechanics, 4th. Ed., Oxford University Press, London, 1958.

A.L. Fetter & J.D. Walecka, Quantum Theory Many-Parlicle Systems. McGraw-Hill Book Company, New York, 1971.

E. Merzbacher, Quantum Mechanics, 2nd.Ed., John Wiley & Sons, New York, 1970.

M. Alonso & E. Finn, Fundamental University Physics (III) - Quantum and Statistical Physics, Addison-Wesley, New York, 1968.

B. Friedman, Principles and Techniques of Applied Mathematics, John Wiley & Sons, New York, 1960.

Published

1992-12-14

How to Cite

Costa, J. A. T. B. da. (1992). An introduction to the quantum theory of many particles applied to solid state physics. Ciência E Natura, 14(14), 35–46. https://doi.org/10.5902/2179460X26313