EXACT NUMERICAL SOLUTION OF SCHRÖDINGER'S EQUATION FOR A PARTICLE IN AN INTERACTION POTENTIAL OF GENERAL SHAPE-Reference-Cited by-同舟云学术

EXACT NUMERICAL SOLUTION OF SCHRÖDINGER'S EQUATION FOR A PARTICLE IN AN INTERACTION POTENTIAL OF GENERAL SHAPE

Published:2002-10-30 Issue:27 Volume:16 Page:4081-4092
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

RIETH M.¹²,SCHOMMERS W.³²,BASKOUTAS S.⁴

Affiliation:

1. Forschungszentrum Karlsruhe, Institut für Materialforschung I, P.O. Box 3460, 76221 Karlsruhe, Germany

2. University of Patras, School of Engineering, Engineering Science Department, 26500 Patras, Greece

3. Forschungszentrum Karlsruhe, Hauptabteilung Informations- und Kommunikationstechnik, P.O. Box 3640, 76221 Karlsruhe, Germany

4. University of Patras, School of Engineering, Materials Science Department, 26500 Patras, Greece

Abstract

A method is proposed for the quantum-mechanical determination of the eigenstates and eigenvalues of a particle (e.g. an electron) in a potential of general shape. For such systems the method allows one to calculate the exact solutions of the stationary Schrödinger equation. For the application of this method any well-known reference system is needed. A transition from the stationary reference system to the stationary system under investigation is performed by means of the time-dependent Schrödinger equation. The results are compared with various standard methods; alternative numerical methods will be discussed critically.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217979202014802

Reference18 articles.

1. Solution of three-body Coulomb problems forJ=0

2. Properties of vibrational energy levels in the quasi periodic and stochastic regimes

3. Semiclassical Gaussian basis set method for molecular vibrational wave functions

4. Theory of optically excited intrinsic semiconductor quantum dots

5. Solution of the Schrödinger equation by a spectral method

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