PATH INTEGRAL SOLUTION FOR A PARTICLE CONFINED IN A REGION

被引：6

作者：

CHETOUANI, L

CHOUCHAOUI, A

HAMMANN, TF

机构：

[1] UNIV SCI & TECHNOL HOUARI BOUMEDIENNE,INST PHYS,PHYS THEOR LAB,ALGIERS,ALGERIA

[2] UNIV HAUTE ALSACE,FAC SCI & TECHN,MATH PHYS MATH & INFORMAT LAB,F-68093 MULHOUSE,FRANCE

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1990年 / 31卷 / 04期

关键词：

D O I：

10.1063/1.528817

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The propagator relative to a particle constrained to move in a finite region of space is calculated in the framework of path integrals. This region of the three-dimensional space is delimited through a sector of opening angle α, and also through the action of two attractive harmonic potentials, one being central and located in the Oxy plan, and the other directed along the z axis, with respective pulsations ω and ω0. It is shown that for α = π/2 and π the propagator is the sum of propagators evaluated on classical paths. The important case of the edge (α = 2π) is considered. © 1990 American Institute of Physics.

引用

页码：838 / 841

页数：4