The solution of the Schrodinger equation for coupled quadratic and quartic potentials in two dimensions

被引：10

作者：

Singh, Ram Mehar ^{[2
]}

Chand, Fakir ^{[1
]}

Mishra, S. C. ^{[1
]}

机构：

[1] Kurukshetra Univ, Dept Phys, Kurukshetra 136119, Haryana, India

[2] Ch Devi Lal Univ, Dept Phys, Sirsa 125055, India

来源：

PRAMANA-JOURNAL OF PHYSICS | 2009年 / 72卷 / 04期

关键词：

Schrodinger equation; ground state; excited states; eigenvalues; eigenfunctions; COMPLEX HAMILTONIAN-SYSTEMS; QUANTUM-MECHANICS; BOUND-STATES;

D O I：

10.1007/s12043-009-0058-z

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We deal with the difficulties claimed by the author of [Ann. Phys. 206, 90 (1991)] while solving the Schrodinger equation for the ground states of two-dimensional anharmonic potentials. It is shown that the ground state energy eigenvalues and eigenfunctions for the coupled quadratic and quartic potentials can be obtained by making some simple assumptions. Expressions for the energy eigenvalues and the eigenfunctions for the first and second excited states of these systems are also obtained.

引用

页码：647 / 654

页数：8

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