71 research outputs found
Complexifier Versus Factorization and Deformation Methods For Generation of Coherent States of a 1D NLHO: I. Mathematical Construction
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.Comment: To be Published in: Int. J. Geom. Meth. Mod. Physic
Analogue Special and General Relativity by Optical Multilayer Thin Films: The Rindler Space Case
In this paper, to obtain an analogy between the curved spaces and the linear
optics, we expand the idea of Ref.[1, 2] to the multilayer films. We
investigate efects of thickness and index of refraction of the films on the
Lorentzian transformations. In addition, by using the multilayer films, we
suggest very simple experimental set-up which can serve as an analogue computer
for testing special relativity. Finally, we draw an analogy between the Rindler
space, as an example of the curved spaces, and a suitable multilayer film.Comment: 5 Figure
GazeauKlauder squeezed states associated with solvable quantum systems
A formalism for the construction of some classes of GazeauKlauder squeezed
states, corresponding to arbitrary solvable quantum systems with a known
discrete spectrum, are introduced. As some physical applications, the proposed
structure is applied to a few known quantum systems and then statistical
properties as well as squeezing of the obtained squeezed states are studied.
Finally, numerical results are presented.Comment: 18 pages, 12 figure
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