Supersymmetry of a nonstationary Schrodinger equation

被引：68

作者：

Bagrov, VG ^{[1
]}

Samsonov, BF ^{[1
]}

机构：

[1] RUSSIAN ACAD SCI,INST HIGH CURRENT ELECTR,TOMSK 634055,RUSSIA

来源：

PHYSICS LETTERS A | 1996年 / 210卷 / 1-2期

关键词：

D O I：

10.1016/0375-9601(95)00832-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The supersymmetry of a one-dimensional time-dependent Schrodinger equation is established. It is intimately connected with the time-dependent Darboux transformation. With the help of this transformation new exactly solvable time-dependent potentials are generated.

引用

页码：60 / 64

页数：5

共 12 条

[1] CHANGES IN POTENTIALS DUE TO CHANGES IN THE POINT SPECTRUM - ANHARMONIC-OSCILLATORS WITH EXACT-SOLUTIONS [J].

ABRAHAM, PB ;

MOSES, HE .

PHYSICAL REVIEW A, 1980, 22 (04) :1333-1340

[2] A NEW METHOD OF EXACT SOLUTION GENERATION FOR THE ONE-DIMENSIONAL SCHRODINGER-EQUATION [J].

BAGROV, VG ;

SHAPOVALOV, AV ;

SHIROKOV, IV .

PHYSICS LETTERS A, 1990, 147 (07) :348-350

[3]

Cooper F., 1995, Physics Reports, V251, P267, DOI 10.1016/0370-1573(94)00080-M

[4]

Crum M. M., 1955, Quater. J. Math. Oxford, V6, P121

[5]

Darboux G., 1882, CR HEBD ACAD SCI, V94, P1456

[6] EXPLICIT SOLUTIONS OF THE TIME-DEPENDENT SCHRODINGER-EQUATION [J].

ENGLEFIELD, MJ .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (03) :593-600

[7]

Faddeev L D, 1959, USP MAT NAUK, V14, P57

[8]

Gendenshtein L. E., 1985, Soviet Physics - Uspekhi, V28, P645, DOI 10.1070/PU1985v028n08ABEH003882

[9]

KREIN MG, 1957, DOKL AKAD NAUK SSSR+, V113, P970

[10]

Miller Jr W, 1977, SYMMETRY SEPARATION

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