QUANTUM-THEORY OF ANHARMONIC-OSCILLATOR - ENERGY-LEVELS OF A 3-DIMENSIONAL OSCILLATOR WITH QUARTIC ANISOTROPIC PERTURBATION

Authors
WITWIT MRM
Citation
Mrm. Witwit, QUANTUM-THEORY OF ANHARMONIC-OSCILLATOR - ENERGY-LEVELS OF A 3-DIMENSIONAL OSCILLATOR WITH QUARTIC ANISOTROPIC PERTURBATION, Journal of mathematical physics, 34(11), 1993, pp. 5050-5061
Citations number
12
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
34
Issue
11
Year of publication
1993
Pages
5050 - 5061
Database
ISI
SICI code
0022-2488(1993)34:11<5050:QOA-EO>2.0.ZU;2-P
Abstract
The energy levels of the Schrodinger equation for a three-dimensional oscillator with quartic perturbation, V(x,y,z) = 1/2[x2 + y2 + z2] + l ambda[a(xx)x4 + a(yy)y4 + a(zz)z4 + 2a(xy)x2y2 + 2a(xz)x2z2 + 2a(yz)y2 z2], are calculated using matrix diagonalization for various values of the perturbation parameters and state numbers (n(x),n(y),n(z)).