PATH-INTEGRAL DISCUSSION FOR SMORODINSKY-WINTERNITZ POTENTIALS .1. 2-DIMENSIONAL AND 3-DIMENSIONAL EUCLIDEAN-SPACE

被引：117

作者：

GROSCHE, C ^{[1
]}

POGOSYAN, GS ^{[1
]}

SISSAKIAN, AN ^{[1
]}

机构：

[1] JOINT INST NUCL RES,BOGOLUBOV LAB THEORET PHYS,DUBNA 141980,RUSSIA

来源：

FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS | 1995年 / 43卷 / 06期

关键词：

D O I：

10.1002/prop.2190430602

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Path integral formulations for the Smorodinsky-Winternitz potentials in two- and three-dimensional Euclidean space are presented. We mention all coordinate systems which separate the Smorodinsky-Winternitz potentials and state the corresponding path integral formulations. Whereas in many coordinate systems an explicit path integral formulation is not possible, we list in all soluble cases the path integral evaluations explicitly in terms of the propagators and the spectral expansions into the wave-functions.

引用

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页码：453 / 521

页数：69

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