FUNCTIONAL INTEGRAL FOR A FREE PARTICLE IN A BOX

被引：78

作者：

CARREAU, M

FARHI, E

GUTMANN, S

机构：

[1] MIT,DEPT PHYS,CAMBRIDGE,MA 02139

[2] NORTHEASTERN UNIV,DEPT MATH,BOSTON,MA 02115

来源：

PHYSICAL REVIEW D | 1990年 / 42卷 / 04期

关键词：

D O I：

10.1103/PhysRevD.42.1194

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

A free nonrelativistic particle moving in a one-dimensional box can be described by any of a four-parameter family of self-adjoint Hamiltonians each of which guarantees that probability does not leave the box. Included are cases where the particle striking one wall may reappear at the other. We construct a four-parameter family of Brownian functional integrals which include paths that jump from wall to wall. Their analytic continuation in time results in the same quantum Green's functions as those which arise directly from the Hamiltonians. © 1990 The American Physical Society.

引用

页码：1194 / 1202

页数：9