Nonrelativistic Perturbation Theory

  • Michael D. Scadron
Part of the Texts and Monographs in Physics book series (TMP)

Abstract

It is now time to expand the formal nonrelativistic scattering equations into perturbation series and apply them to simple atomic and solid-state problems. First we review time-independent perturbation expansions and extend them to the time-dependent case. The use of scattering diagrams will allow us to develop some intuition for this transition. Next we apply the theory to the interaction of radiation with matter, i.e., to the scattering of photons and bound atomic electrons. Finally we consider the scattering of phonons and electrons in solids, developing scattering diagrams which parallel the atomic diagrams as much as possible.

Keywords

Recombination Schiff Summing Eisen 

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References

  1. Mott, N. F., and Massey, H. S. W. The Theory of Atomic Collisions. 2nd ed. Oxford: Clarendon, 1949.MATHGoogle Scholar
  2. Heitler, W. Quantum Theory of Radiation. 3rd ed. Oxford: Clarendon, 1954.MATHGoogle Scholar
  3. Bethe, H. A., and Salpeter, E. E. Quantum Mechanics of One-and Two-Electron Atoms. New York: Academic, 1957.MATHGoogle Scholar
  4. Sakurai, J. J. Advanced Quantum Mechanics. Reading, Mass.: Addison-Wesley, 1967a.Google Scholar
  5. Schiff, L. I. Quantum Mechanics. 3rd ed. New York: McGraw-Hill, 1968.Google Scholar
  6. Bethe, H. A., and •ackiw, R. Intermediate Quantum Mechanics. 2nd ed. New York: Benjamin, 1968.Google Scholar
  7. Baym, G. Lectures on Quantum Mechanics. New York: Benjamin, 1969.MATHGoogle Scholar
  8. Berestetskii, V. B., Lifshitz, E. M., and Pitaevskii, L. P. Relativistic Quantum Theory Part 1. Oxford: Pergamon, 1971.Google Scholar
  9. Källén, G. Quantum Electrodynamics. New York: Springer-Verlag, 1972. Kittel, C. Quantum Theory of Solids. New York: Wiley, 1963.Google Scholar
  10. Ziman, J. M. Principles of the Theory of Solids, Cambridge, England: Cambridge U.P., 1964.Google Scholar
  11. Mattuck, R. D. A Guide to Feynman Diagrams in the Many Body Problem. London: McGraw-Hill, 1967.Google Scholar
  12. Baym, G. Lectures on Quantum Mechanics. New York: Benjamin, 1969.MATHGoogle Scholar
  13. Taylor, P. L. Quantum Approach to the Solid State. Englewood Cliffs, N.J.: Prentice-Hall, 1970.Google Scholar
  14. Feynman, R. P. Statistical Mechanics. Reading, Mass.: Benjamin, 1972.Google Scholar

Copyright information

© Springer Science+Business Media New York 1979

Authors and Affiliations

  • Michael D. Scadron
    • 1
  1. 1.Department of PhysicsUniversity of ArizonaTucsonUSA

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