Approximate analytical states of a polynomial potential: an example of symmetry restoration

Authors
de Castro, AS Dutra, AD
Citation
As. De Castro et Ad. Dutra, Approximate analytical states of a polynomial potential: an example of symmetry restoration, PHYS LETT A, 269(5-6), 2000, pp. 281-286
Citations number
22
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS A
ISSN journal
03759601 → ACNP
Volume
269
Issue
5-6
Year of publication
2000
Pages
281 - 286
Database
ISI
SICI code
0375-9601(20000515)269:5-6<281:AASOAP>2.0.ZU;2-X
Abstract
An approximate analytical expression for the first two eigenvalues of the S chrodinger equation for the potential V(x) = Ax(4) + Bx(2) is achieved by u sing the Symanzik scaling symmetry. A kind of symmetry restoration when one of the potential parameters changes conveniently is observed. (C) 2000 Pub lished by Elsevier Science B.V. All rights reserved.