Complexifier Versus Factorization and Deformation Methods For Generation of Coherent States of a 1D NLHO: I. Mathematical Construction
Mathematical Physics
2013-10-18 v1 math.MP
Quantum Physics
Abstract
Three methods: complexifier, factorization and deformation, for construction of coherent states are presented for one dimensional nonlinear harmonic oscillator (1D NLHO). Since by exploring the Jacobi polynomials 's, bridging the difference between them is possible, we give here also the exact solution of Schr\"odinger equation of 1D NLHO in terms of Jacobi polynomials.
Keywords
Cite
@article{arxiv.1302.2853,
title = {Complexifier Versus Factorization and Deformation Methods For Generation of Coherent States of a 1D NLHO: I. Mathematical Construction},
author = {R. Roknizadeh and H. Heydari},
journal= {arXiv preprint arXiv:1302.2853},
year = {2013}
}
Comments
To be Published in: Int. J. Geom. Meth. Mod. Physics