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Some aspects of a weak WeylHeisenberg algebra deformation
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In the weak deformation (WD) approximation of the WeylHeisenberg algebra, the corresponding generalized coherent states and displacement operator are constructed. It is shown that those states, and contrary to the non-deformed Weyl-Heisenberg algebra, are not eigenstates of the annihilation operator. Moreover, and as an alternative to the Chaïchian et al. Q-deformed path integral approach (where Q is the deformation parameter), using the Bargmann Fock representation, we propose in the WD approximation, a general simple formalism. As an application, we calculate the propagator and the wave function of the harmonic oscillator.PACS Nos.: 03.65.Fd, 31.15.Kb
Title: Some aspects of a weak WeylHeisenberg algebra deformation
Description:
In the weak deformation (WD) approximation of the WeylHeisenberg algebra, the corresponding generalized coherent states and displacement operator are constructed.
It is shown that those states, and contrary to the non-deformed Weyl-Heisenberg algebra, are not eigenstates of the annihilation operator.
Moreover, and as an alternative to the Chaïchian et al.
Q-deformed path integral approach (where Q is the deformation parameter), using the Bargmann Fock representation, we propose in the WD approximation, a general simple formalism.
As an application, we calculate the propagator and the wave function of the harmonic oscillator.
PACS Nos.
: 03.
65.
Fd, 31.
15.
Kb.
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