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Perturbation theory for a Schrödinger equation containing a polynomial potential

  • Elementary-Particle Physics And Field Theory
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Russian Physics Journal Aims and scope

Abstract

A procedure is given for constructing perturbation theory, which is based on models from quantum mechanics that can be solved quasiaccurately. These models are developed into systems of biorthogonal polynomials having weights of e−x r type, which enable one to construct a complete basis for perturbation theory. This corresponds to perturbation theory based on various topological structures. The properties of the biorthogonal polynomials are discussed and a complete description of them is given.

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Authors
  1. A. S. Vshivtsev
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  2. V. N. Sorokin
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Additional information

Moscow Institute for Radio Engineering, Electronics, and Automatics. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 95–101, January, 1994.

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Vshivtsev, A.S., Sorokin, V.N. Perturbation theory for a Schrödinger equation containing a polynomial potential. Russ Phys J 37, 85–90 (1994). https://doi.org/10.1007/BF00558929

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  • DOI: https://doi.org/10.1007/BF00558929

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