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

页码：453 / 521

页数：69

共 50 条

[11] 2-DIMENSIONAL MEASURE IN 3-DIMENSIONAL SPACE
TORALBAL.LV
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (01): : A103 - A103
[12] A PHASE-SPACE PATH-INTEGRAL FOR (2+1)-DIMENSIONAL GRAVITY
CARLIP, S
CLASSICAL AND QUANTUM GRAVITY, 1995, 12 (09) : 2201 - 2207
[13] PATH-INTEGRAL APPROACH TO 2-DIMENSIONAL MAGNETO-CONDUCTIVITY PROBLEM .1. GENERAL FORMULATION OF APPROACH
GERHARDTS, RR
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1975, 21 (03): : 275 - 283
[14] EQUATIONS OF ISOMETRIC IMBEDDINGS IN 3-DIMENSIONAL EUCLIDEAN-SPACE OF TWO-DIMENSIONAL MANIFOLDS OF NEGATIVE CURVATURE
SHIKIN, EV
MATHEMATICAL NOTES, 1982, 31 (3-4) : 305 - 312
[15] ON O-BONNET-III-ISOMETRY OF SURFACES IN 3-DIMENSIONAL EUCLIDEAN-SPACE
YANG, WM
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1990, 49 : 90 - 110
[16] VISCOUS VORTICES IN 2-DIMENSIONAL AND 3-DIMENSIONAL SPACE
TING, L
BAUER, F
COMPUTERS & FLUIDS, 1993, 22 (4-5) : 565 - 588
[17] ISOMETRIC IMMERSIONS OF DOMAINS OF 3-DIMENSIONAL LOBACHEVSKY SPACE IN 5-DIMENSIONAL EUCLIDEAN-SPACE, AND THE MOTION OF A RIGID BODY
AMINOV, YA
MATHEMATICS OF THE USSR-SBORNIK, 1983, 122 (1-2): : 11 - 30
[18] TIME DIFFERENTIATION OF TENSORS DEFINED ON A SURFACE MOVING THROUGH A 3-DIMENSIONAL EUCLIDEAN-SPACE
POVSTENKO, IZ
PODSTRIGACH, IS
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1983, 47 (06): : 827 - 832
[19] COARSENING OF 3-DIMENSIONAL DROPLETS BY 2-DIMENSIONAL DIFFUSION .1. EXPERIMENT
ROGERS, JR
DOWNEY, JP
WITHEROW, WK
FACEMIRE, BR
FRAZIER, DO
FRADKOV, VE
MANI, SS
GLICKSMAN, ME
JOURNAL OF ELECTRONIC MATERIALS, 1994, 23 (10) : 999 - 1006
[20] 3D ISING-MODEL AS A STRING THEORY IN 3-DIMENSIONAL EUCLIDEAN-SPACE
SEDRAKYAN, A
PHYSICS LETTERS B, 1993, 304 (3-4) : 256 - 262

← 1 2 3 4 5 →