Published March 2005 | Version v1
Journal article

New ways to solve the Schroedinger equation

  • 1. Department of Physics, Columbia University, New York, NY 10027 (United States)
  • 2. RIKEN BNL Research Center (RBRC), Brookhaven National Laboratory, Upton, NY 11973 (United States)
  • 3. China Center of Advanced Science and Technology (CCAST) (World Laboratory), P.O. Box 8730, Beijing 100080 (China)

Description

We discuss a new approach to solve the low lying states of the Schroedinger equation. For a fairly large class of problems, this new approach leads to convergent iterative solutions, in contrast to perturbative series expansions. These convergent solutions include the long standing difficult problem of a quartic potential with either symmetric or asymmetric minima

Additional details

Identifiers

DOI
10.1016/j.aop.2004.08.002;
arXiv
arXiv:quant-ph/0407207v1;
PII
S0003-4916(04)00146-0;

Publishing Information

Journal Title
Annals of Physics (New York)
Journal Volume
316
Journal Issue
1
Journal Page Range
p. 44-106
ISSN
0003-4916
CODEN
APNYA6

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
36049687
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ASYMMETRY; CONVERGENCE; ITERATIVE METHODS; MATHEMATICAL SOLUTIONS; SCHROEDINGER EQUATION; SERIES EXPANSION
Descriptors DEC
CALCULATION METHODS; DIFFERENTIAL EQUATIONS; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS

Optional Information

Copyright
Copyright (c) 2004 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.