Semitransparent one-dimensional potential: a Green's function approach

被引：3

作者：

Maldonado-Villamizar, F. H. ^{[1
]}

机构：

[1] Inst Politecn Nacl, Ctr Invest & Estudios Avanzados, Mexico City, DF, Mexico

来源：

PHYSICA SCRIPTA | 2015年 / 90卷 / 06期

关键词：

point potentials; unstable systems; Green's functions; OPERATORS; STATES;

D O I：

10.1088/0031-8949/90/6/065202

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the unstable harmonic oscillator and the unstable linear potential in the presence of the point potential, which is the superposition of the Dirac delta(x) and its derivative delta'(x). Using the physical boundary conditions for the Green's function we derive for both systems the resonance poles and the resonance wave functions. The matching conditions for the resonance wave functions coincide with those obtained by the self-adjoint extensions of the point potentials and also by the modelling of the delta'(x) function. We find that, with our definitions, the pure b delta'(x) barrier is semi-transparent independent of the value of b.

引用

页数：10

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