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Eigenvalues of the two‐dimensional Schrödinger equation with nonseparable potentials
Author(s) -
Taşeli H.,
Eid R.
Publication year - 1996
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/(sici)1097-461x(1996)59:3<183::aid-qua2>3.0.co;2-u
Subject(s) - eigenvalues and eigenvectors , quartic function , wave function , mathematical analysis , trigonometric functions , schrödinger equation , trigonometry , mathematics , basis function , domain (mathematical analysis) , function (biology) , eigenfunction , ritz method , energy (signal processing) , mathematical physics , physics , quantum mechanics , boundary value problem , pure mathematics , geometry , evolutionary biology , biology
The energy eigenvalues of coupled oscillators in two dimensions with quartic and sextic couplings have been calculated to a high accuracy. For this purpose, unbounded domain of the wave function has been truncated and various combination of trigonometric functions are employed as the basis sets in a Rayleigh‐Ritz variational method. The method is applicable to the multiwell oscillators as well. © 1996 John Wiley & Sons, Inc.