Algebraic construction of coherent states for nonlinear quantum deformed systems

作者:Aleixo A N F*; Balantekin A B
来源:Journal of Physics A-Mathematical and Theoretical, 2012, 45(16): 165302.
DOI:10.1088/1751-8113/45/16/165302

摘要

A nonlinear deformed algebraic theory for quantum confined systems is constructed using a supersymmetric and shape-invariant approach. In the framework of this model, we present a mathematical Barut-Girardello procedure which leads to nonlinear deformed coherent states by the successive application of a deformed raising operator on the ground state of these systems. As an application, we use a simple exponential form for the nonlinearity function to study in detail the mathematical and physical properties of such states and their evolution in time.

  • 出版日期2012-4-27