Exact solution of Schrodinger equation for two state problem with time dependent coupling

被引：1

作者：

Diwaker ^{[1
]}

Panda, Bandhan ^{[2
]}

Chakraborty, Aniruddha ^{[1
]}

机构：

[1] Indian Inst Technol Mandi, Mandi 175001, HP, India

[2] Indian Inst Sci Educ & Res Kolkata Mohanpur, Mohanpur 741246, W Bengal, India

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2016年 / 442卷

关键词：

Quantum mechanics; Scattering; Two state; Analytical model; Greens function;

D O I：

10.1016/j.physa.2015.09.054

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The present work focuses on the exact solution of the time dependent Schrodinger equation involving two potentials coupled by a time dependent Dirac Delta function potential. The problem involving the partial differential equations in two variables can be reduced to a single integral equation in Laplace domain and by knowing the wave function at the origin we can derive the wave function everywhere. Solutions for the different time variation of the strength of the Dirac Delta function potentials has been derived. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：380 / 387

页数：8

共 21 条

[1] Fast converging path integrals for time-dependent potentials: II. Generalization to many-body systems and real-time formalism [J].