DERIVATION OF THE TIME-DEPENDENT PROPAGATOR FOR THE 3-DIMENSIONAL SCHRODINGER-EQUATION WITH ONE POINT INTERACTION

被引:26
作者
SCARLATTI, S
TETA, A
机构
[1] Inst. fur Math., Ruhr Univ., Bochum
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 19期
关键词
D O I
10.1088/0305-4470/23/19/003
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
An explicit formula for the time-dependent propagator of the Schrodinger equation with one point interaction in three dimensions is given. The derivation is based on the inverse Laplace transformation applied to the corresponding resolvent.
引用
收藏
页码:L1033 / L1035
页数:3
相关论文
共 6 条
[1]  
Abramowitz M., 1970, HDB MATH FUNCTIONS F
[2]  
Albeverio S., 2005, SOLVABLE MODELS QUAN, V2nd ed.
[3]   EXPLICIT TIME-DEPENDENT SCHRODINGER PROPAGATORS [J].
GAVEAU, B ;
SCHULMAN, LS .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (10) :1833-1846
[4]   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
[5]  
Reed M., 1975, METHODS MODERN MATH
[6]  
Schulman L. S., 1986, PATH INTEGRALS MEV M, P302