Generalized coherent and squeezed states based on the $h(1) \otimes su(2)$ algebra
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
States which minimize the Schr\"odinger--Robertson uncertainty relation are constructed as eigenstates of an operator which is a element of the algebra. The relations with supercoherent and supersqueezed states of the supersymmetric harmonic oscillator are given. Moreover, we are able to compute gneneral Hamiltonians which behave like the harmonic oscillator Hamiltonian or are related to the Jaynes--Cummings Hamiltonian.
Keywords
Cite
@article{arxiv.math-ph/0503062,
title = {Generalized coherent and squeezed states based on the $h(1) \otimes su(2)$ algebra},
author = {Nibaldo Alvarez-Moraga and Veronique Hussin},
journal= {arXiv preprint arXiv:math-ph/0503062},
year = {2007}
}
Comments
42 pages, 10 figures