THE SPECTRUM OF THE QUARTIC OSCILLATOR

Authors
BAY K LAY W
Citation
K. Bay et W. Lay, THE SPECTRUM OF THE QUARTIC OSCILLATOR, Journal of mathematical physics, 38(5), 1997, pp. 2127-2131
Citations number
7
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
38
Issue
5
Year of publication
1997
Pages
2127 - 2131
Database
ISI
SICI code
0022-2488(1997)38:5<2127:TSOTQO>2.0.ZU;2-N
Abstract
The spectrum of the quartic oscillator defined by the Hamiltonian H = - d(2)/dz(2) + at + z(2) + lambda(2)z(4) is calculated. The eigenvalue s E(a,lambda) result from a fourth-order linear difference equation by means of recurrence relations. For the symmetric oscillator (a=0) var ious eigenvalues have been compared with values obtained from other ap proaches. In addition, results for the asymmetric oscillator are prese nted. (C) 1997 American Institute of Physics.