Pseudo-Hermitian versus Hermitian position-dependent-mass Hamiltonlans in a perturbative framework

被引：19

作者：

Bagchi, B

Quesne, C

Roychoudhury, R

机构：

[1] Univ Calcutta, Dept Appl Math, Kolkata 700009, W Bengal, India

[2] Free Univ Brussels, B-1050 Brussels, Belgium

[3] Indian Stat Inst, Phys & Appl Math Unit, Kolkata 700035, W Bengal, India

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2006年 / 39卷 / 06期

关键词：

D O I：

10.1088/0305-4470/39/6/L01

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We formulate a systematic algorithm for constructing a whole class of Hermitian position-dependent-mass Hamiltonians which, to lowest order of perturbation theory, allow a description in terms of PT-symmetric Hamiltonians. The method is applied to the Hermitian analogue of the PT-symmetric cubic anharmonic oscillator. A new example is provided by a Hamiltonian (approximately) equivalent to a PT-symmetric extension of the one-parameter trigonometric Poschl-Teller potential.

引用

页码：L127 / L134

页数：8

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