Convergent iterative solutions for a Sombrero-shaped potential in any space dimension and arbitrary angular momentum

Journal Article · Tue Aug 15 00:00:00 EDT 2006 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2005.11.009· OSTI ID:20845976

Friedberg, R ^[1]; Lee, T D ^[1]; Zhao, W Q ^[2]

---

1. Physics Department, Columbia University, New York, NY 10027 (United States)
2. China Center of Advanced Science and Technology (CCAST) (World Lab.), P.O. Box 8730, Beijing 100080 (China) and Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100039 (China)

We present an explicit convergent iterative solution for the lowest energy state of the Schroedinger equation with an N-dimensional radial potential V=g{sup 2}2(r{sup 2}-1){sup 2} and an angular momentum l. For g large, the rate of convergence is similar to a power series in g{sup -1}.

• OSTI ID: 20845976
• Journal Information: Annals of Physics (New York), Vol. 321, Issue 8; Other Information: DOI: 10.1016/j.aop.2005.11.009; PII: S0003-4916(05)00258-7; Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
CONVERGENCE
ITERATIVE METHODS
MATHEMATICAL SOLUTIONS
MATHEMATICAL SPACE
POTENTIALS
POWER SERIES
SCHROEDINGER EQUATION