Realizing discontinuous wave functions with renormalized short-range potentials

被引：144

作者：

Cheon, T ^{[1
]}

Shigehara, T

机构：

[1] Kochi Univ Technol, Phys Lab, Kochi 7828502, Japan

[2] Saitama Univ, Dept Informat & Comp Sci, Urawa, Saitama 3388570, Japan

来源：

PHYSICS LETTERS A | 1998年 / 243卷 / 03期

关键词：

point interaction; self-adjoint extension; delta ' potential; wave function discontinuity; Neumann boundary;

D O I：

10.1016/S0375-9601(98)00188-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that the most general three-parameter family of point interactions on the line can be expressed as the self-adjoint local operators in terms of three Dirac's delta functions with the renormalized strengths in the disappearing distances. Experimental realization of the Neumann boundary is discussed. (C) 1998 Elsevier Science B.V.

引用

页码：111 / 116

页数：6

共 16 条

[1]

Albeverio S., 1988, Solvable Models in Quantum Mechanics

[2] PERIODIC SCHRODINGER-OPERATORS WITH LARGE GAPS AND WANNIER-STARK LADDERS [J].