Noncommutative Phase Space Schrödinger Equation with Minimal Length

We consider the Schrödinger equation under an external magnetic field in two-dimensional noncommutative phase space with an explicit minimal length relation. The eigenfunctions are reported in terms of the Jacobi polynomials, and the explicit form of energy eigenvalues is reported.

Bibliographic Details
Main Authors: H. Hassanabadi, Z. Molaee, S. Zarrinkamar
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2014/459345
Description
Summary:We consider the Schrödinger equation under an external magnetic field in two-dimensional noncommutative phase space with an explicit minimal length relation. The eigenfunctions are reported in terms of the Jacobi polynomials, and the explicit form of energy eigenvalues is reported.
ISSN:1687-7357
1687-7365