Stationary motion of a quantum particle in an arbitrary one-dimensional potential View Full Text


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Article Info

DATE

2010-07

AUTHORS

A. Zh. Khachatrian, D. M. Sedrakian, V. A. Khoetsyan

ABSTRACT

A consistent approach to the description of a stationary motion of a quantum particle in an arbitrary one-dimensional potential has been developed. It has been proved that the wave function of an infinite motion can be expressed accurate to up two arbitrary constants with the use of one particular solution to the system of first-order linear differential equations. It has been shown that many well-known methods, such as the integral equation method, the transfer matrix method, the embedding method, and the method of combination of scattering parameters, are based on a general property of the solutions to the Schrödinger equation. Within the proposed approach, the relation between these methods becomes more transparent and their description can be well within a unified context. More... »

PAGES

1506-1514

References to SciGraph publications

  • 1964. Quantum Mechanics in NONE
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1134/s1063783410070279

    DOI

    http://dx.doi.org/10.1134/s1063783410070279

    DIMENSIONS

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