Quasi-exactly solvable periodic and random potentials

被引：7

作者：

Tkachuk, VM ^{[1
]}

Voznyak, O ^{[1
]}

机构：

[1] Ivan Franko Lviv Natl Univ, Chair Theoret Phys, UA-79005 Lvov, Ukraine

来源：

PHYSICS LETTERS A | 2002年 / 301卷 / 3-4期

关键词：

supersymmetry; quantum mechanics; quasi-exactly solvable potentials; random and periodic potentials;

D O I：

10.1016/S0375-9601(02)00906-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using the supersymmetric method the quasi-exactly solvable (QES) periodic and random potentials with two known eigenstates have been constructed. The explicit examples of such potentials are presented. An interesting example is the QES disordered Kronig-Penney model for which we found in the explicit form the wave functions for two energy levels. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：177 / 183

页数：7

共 50 条

[1] New quasi-exactly solvable periodic potentials
Xie, Qiong-Tao
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (28)
[2] Periodic Quasi-Exactly Solvable Models
S. Sree Ranjani
A. K. Kapoor
P. K. Panigrahi
International Journal of Theoretical Physics, 2005, 44 : 1167 - 1176
[3] Periodic quasi-exactly solvable models
Ranjani, SS
Kapoor, AK
Panigrahi, PK
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2005, 44 (08) : 1167 - 1176
[4] A unified treatment of exactly solvable and quasi-exactly solvable quantum potentials
Bagchi, B
Ganguly, A
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (11): : L161 - L167
[5] METHODS FOR GENERATING QUASI-EXACTLY SOLVABLE POTENTIALS
GANGOPADHYAYA, A
KHARE, A
SUKHATME, UP
PHYSICS LETTERS A, 1995, 208 (4-6) : 261 - 268
[6] Methods for generating quasi-exactly solvable potentials
Phys Lett Sect A Gen At Solid State Phys, 4-6 (261):
[7] Generalization of quasi-exactly solvable and isospectral potentials
P. K. Bera
J. Datta
M. M. Panja
Tapas Sil
Pramana, 2007, 69 : 337 - 367
[8] Generalization of quasi-exactly solvable and isospectral potentials
Bera, P. K.
Datta, J.
Panja, M. M.
Sil, Tapas
PRAMANA-JOURNAL OF PHYSICS, 2007, 69 (03): : 337 - 367
[9] QUASI-EXACTLY SOLVABLE PERIODIC POTENTIALS FOR THE PARTICLE WITH THE PERIODIC POSITION-DEPENDENT MASS
Voznyak, O.
JOURNAL OF PHYSICAL STUDIES, 2014, 18 (01):
[10] New quasi-exactly solvable sextic polynomial potentials
Bender, CM
Monou, M
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (10): : 2179 - 2187

← 1 2 3 4 5 →