Simplified Solving Procedure for the One-Dimensional Schrodinger Equation with Asymmetrical Boundary Conditions

• Authors: H. Puszkarski
• Languages of publication: EN

Abstracts

EN

We propose a new simplified procedure for finding the analytical solutions of the stationary one-dimensional Schrodinger equation, with asymmetric boundary conditions imposed on the equation. The essence of the method consists in expressing the general solution explicitly in terms of the boundary parameters in a form which, by itself, satisfies one of the boundary conditions involved; then, the other boundary condition gives straightforwardly the characteristic equation. This method may turn out to be beneficial with regard to the recently growing interest in one-dimensional quantum systems.

Keywords

EN

03.65.Ge; 02.60.Lj

Discipline

• 02.60.Lj: Ordinary and partial differential equations; boundary value problems
• 03.65.Ge: Solutions of wave equations: bound states

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 1999
• Volume: 96
• Issue: 3-4
• Pages: 327-331

Dates

published

1999-09

received

1999-07-01

Contributors

author

H. Puszkarski

• Surface Physics Division, Faculty of Physics, Adam Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland

Identifiers

DOI

10.12693/APhysPolA.96.327