FUNDAMENTAL SOLUTION OF THE HEAT AND SCHRODINGER-EQUATIONS WITH POINT INTERACTION

被引：76

作者：

ALBEVERIO, S

BRZEZNIAK, Z

DABROWSKI, L

机构：

[1] Fakultät für Mathematik, Ruhr-Universität Bochum

[2] SFB 237, (Essen-Bochum-Düsseldorf)

[3] BiBoS, Bielefeld

[4] CERFIM, Locarno

[5] Institute of Mathematics, Jagellonian University, Krakow

[6] SISSA, Trieste

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1995年 / 130卷 / 01期

关键词：

D O I：

10.1006/jfan.1995.1068

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We find explicit formulae for the fundamental solution for the heat and time dependent Schrodinger equations with point interaction in dimension n less-than-or-equal-to 3. We discuss in detail the small time asymptotics of these fundamental solutions. The case n = 2 has the peculiarity of involving logarithmic terms in the expansion. (C) 1995 Academic Press, Inc.

引用

页码：220 / 254

页数：35