TIME-DEPENDENT PROPAGATOR WITH POINT INTERACTION

被引：35

作者：

ALBEVERIO, S

BRZEZNIAK, Z

DABROWSKI, L

机构：

[1] Fakultat fur Math., Ruhr-Univ., Bochum

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1994年 / 27卷 / 14期

关键词：

D O I：

10.1088/0305-4470/27/14/021

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We compute the time-dependent Schrodinger propagator with a point interaction in dimension n less-than-or-equal-to 3 including the new cases of n = 2 and the most general interaction supported by a point for n = 1. We also give the small-time asymptotics for n less-than-or-equal-to 3. The case n = 2 has the peculiarity of involving logarithmic terms in the expansion.

引用

页码：4933 / 4943

页数：11

共 13 条

[1]

ALBEVEIRO S, 1994, IN PRESS J FUNCT ANA

[2]

ALBEVEIRO S, 1988, SOLVABLE MODELS QUAN

[3]

Berry M. V., 1980, European Journal of Physics, V1, P240, DOI 10.1088/0143-0807/1/4/011

[4] A NEW CLASS OF POINT INTERACTIONS IN ONE DIMENSION [J].

CHERNOFF, PR ;

HUGHES, RJ .

JOURNAL OF FUNCTIONAL ANALYSIS, 1993, 111 (01) :97-117

[5] STATISTICAL MECHANICS WITH TOPOLOGICAL CONSTRAINTS .I. [J].

EDWARDS, SF .

PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON, 1967, 91 (573P) :513-&

[6]

Erdelyi A., 1954, TABLES INTEGRAL TRAN, VII

[7] EXPLICIT TIME-DEPENDENT SCHRODINGER PROPAGATORS [J].

GAVEAU, B ;

SCHULMAN, LS .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (10) :1833-1846

[8]

Gradshteyn I.S., 1965, TABLES OF INTEGRALS

[9] EXPLICIT DERIVATION OF THE PROPAGATOR FOR A DIRAC-DELTA POTENTIAL [J].

MANOUKIAN, EB .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (01) :67-70

[10]

Morandi G., 1984, European Journal of Physics, V5, P49, DOI 10.1088/0143-0807/5/1/011

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