Functional relations in stokes multipliers - Fun with x(6)+ax(2) potential

Authors
Citation
J. Suzuki, Functional relations in stokes multipliers - Fun with x(6)+ax(2) potential, J STAT PHYS, 102(3-4), 2001, pp. 1029-1047
Citations number
36
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physics
Journal title
JOURNAL OF STATISTICAL PHYSICS
ISSN journal
0022-4715 → ACNP
Volume
102
Issue
3-4
Year of publication
2001
Pages
1029 - 1047
Database
ISI
SICI code
0022-4715(200102)102:3-4<1029:FRISM->2.0.ZU;2-A
Abstract
We consider eigenvalue problems in quantum mechanics in one dimension. Hami ltonians contain a class of double well potential tel ms, x(6) + alphax(2), for example. The space coordinate is continued to a complex plane and the connection problem of fundamental system of solutions is considered. A hidd en U-q((gl) over cap (2\1)) structure arises in "fusion relations" of Stoke s multipliers. With this observation, we derive coupled nonlinear integral equations which characterize the spectral properties of both +/- alpha pote ntials simultaneously.