Euclidean quantum mechanics in the momentum representation

被引：4
|
作者：
Privault, N
Zambrini, JC
机构：
[1] Univ La Rochelle, Dept Math, F-17042 La Rochelle, France
[2] Univ Nova Lisboa, Grp Fis Matemat, P-1649003 Lisbon, Portugal
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2005年 / 46卷 / 03期
关键词：
D O I：
10.1063/1.1850178
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A time reversible probabilistic representation of solutions of the (Euclidean) Schrodinger equation in momentum representation is constructed using Levy processes and bridges. Each diffusion in the position representation is associated with a jump diffusion in the momentum space. Our method can be looked upon as a rigorous version of Feynman's path integral approach. Several examples are studied. (C) 2005 American Institute of Physics.
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页数：25
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