Pseudo-differential operators with point interactions

被引：13

作者：

Albeverio, S ^{[3
]}

Kurasov, P

机构：

[1] BIBOS RES CTR, D-33615 BIELEFELD, GERMANY

[2] CERFIM, LOCARNO, SWITZERLAND

[3] RUHR UNIV BOCHUM, DEPT MATH, D-44780 BOCHUM, GERMANY

[4] UNIV STOCKHOLM, MATH INST, S-10691 STOCKHOLM, SWEDEN

[5] ST PETERSBURG STATE UNIV, DEPT PHYS, ST PETERSBURG 198904, RUSSIA

[6] UNIV LULEA, DEPT MATH, S-97187 LULEA, SWEDEN

[7] SFB 237, ESSEN, GERMANY

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1997年 / 41卷 / 01期

关键词：

pseudo-differential operators; extension theory; symmetric operators; spectral theory; point interactions; Krein's formula;

D O I：

10.1023/A:1007370120698

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Point interactions for pseudo-differential operators are studied. Necessary and sufficient conditions for a pseudo-differential operator to have nontrivial point perturbations are given. The results are applied to the construction of relativistic spin zero Hamiltonians with point interactions.

引用

页码：79 / 92

页数：14

共 19 条

[1]

Akhiezer NI., 1981, Theory of Linear Operators in Hilbert Spaces

[2]

ALBEVERIO S, UNPUB

[3]

Albeverio S., 1988, Solvable Models in Quantum Mechanics

[4]

Alonso A., 1980, J. Operator Theory, V4, P251