SOLUTION OF THE MULTIDIMENSIONAL QUANTUM HARMONIC-OSCILLATOR WITH TIME-DEPENDENT FREQUENCIES THROUGH FOURIER, HERMITE AND WIGNER TRANSFORMS

被引：44

作者：

BURGAN, JR ^{[1
]}

FEIX, MR ^{[1
]}

FIJALKOW, E ^{[1
]}

MUNIER, A ^{[1
]}

机构：

[1] CEA,LIMEIL,FRANCE

来源：

PHYSICS LETTERS A | 1979年 / 74卷 / 1-2期

关键词：

D O I：

10.1016/0375-9601(79)90567-X

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A group of transformations preserving the hamiltonian formalism is introduced to transform the problem to free particle motion. Moreover, introducing the Wigner distribution function allows a description through a particle picture reducing the problem to the solution of decoupled differential equations and avoiding all the difficulties connected with Fourier or Hermite transform calculations. © 1979.

引用

页码：11 / 14

页数：4

共 9 条

[1]

Burgan J. R., 1978, Applied inverse problems, P248

[2] SELF-SIMILAR SOLUTIONS FOR VLASOV AND WATER-BAG MODELS [J].