Eigenvalue spectra of a $mathcal{PT}$ -symmetric coupled quartic potential in two dimensions

Pramana

S C Mishra²  Fakir Chand1²  Savita¹ 

[1] Department of Physics, TERI, Kurukshetra 136 119, India$$;Department of Physics, Kurukshetra University, Kurukshetra 136 119, India$$

关键词: Schrödinger equation;    ground state;    excited state;    $mathcal{PT}$-symmetry;    eigen-values;    eigenfunctions.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

The Schrödinger equation was solved for a generalized $mathcal{PT}$-symmetric quartic potential in two dimensions. It was found that, under a suitable ansatz for the wave function, the system possessed real and discrete energy eigenvalues. Analytic expressions for the energy eigenvalues and the eigenfunctions for the first four states were obtained. Some constraining relations among the wave function parameters rendered the problem quasi-solvable.

【 授权许可】

Unknown