Feynman integrals with point interactions

被引：0
|
作者：
Franchini, E [1 ]
Maioli, M [1 ]
机构：
[1] Univ Modena & Reggio Emilia, Dipartimento Matemat, I-41100 Modena, Italy
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2003年 / 46卷 / 5-6期
关键词：
Feynman-Kae formula; Markov property; Schrodinger sernigroup; point estimates; Delta-type interaction;
D O I：
10.1016/S0898-1221(03)90134-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A Feynman-Kac formula for Schrodinger operators including a one-center point inter action in R-3 plus a bounded potential is proved. Functional integration methods on similar Kac's averages with point interactions allow us to construct bounded self-adjoint semigroups in L-2(R-3), with bounded below Schrodinger generators, when V+ is an element of L-loc(2) and V- belongs to a large class of L-2 + L-infinity potentials. Moreover, a pointwise bound on the range of the semigroup is given. (C) 2003 Elsevier Ltd. All rights reserved.
引用
收藏
页码：685 / 694
页数：10
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