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

Pramana

S C Mishra¹  Ram Mehar Singh²  Fakir Chand2¹ 

[1] Department of Physics, Kurukshetra University, Kurukshetra 136 119, India$$;Department of Physics, Ch. Devi Lal University, Sirsa 125 055, India$$

关键词: Schrödinger equation;    ground state;    excited states;    eigenvalues;    eigenfunc-tions.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We deal with the difficulties claimed by the author of [Ann. Phys. 206, 90 (1991)] while solving the Schrödinger equation for the ground states of two-dimensional anharmonic potentials. It is shown that the ground state energy eigenvalues and eigen-functions 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.

【 授权许可】

Unknown