scholarly journals The Wigner distribution function for the one-dimensional parabose oscillator

2008 ◽  
Vol 41 (23) ◽  
pp. 235301 ◽  
Author(s):  
E Jafarov ◽  
S Lievens ◽  
J Van der Jeugt
Keyword(s):  
Distribution Function ◽  
Wigner Distribution ◽  
Wigner Distribution Function ◽  
One Dimensional ◽  
The One

FINITE SYSTEMS ON PHASE SPACE

2006 ◽  
Vol 20 (11n13) ◽  
pp. 1956-1967 ◽  
Author(s):  
KURT BERNARDO WOLF
Keyword(s):  
Distribution Function ◽  
Phase Space ◽  
Hamiltonian Systems ◽  
Wigner Distribution ◽  
Wigner Distribution Function ◽  
Finite Fourier Transform ◽  
One Dimensional ◽  
Finite Systems ◽  
The One ◽  
Definition Of

This contribution summarizes work on finite, non-cyclic Hamiltonian systems —in particular the one-dimensional finite oscillator—, in conjunction with a Lie algebraic definition of the (meta-) phase space of finite systems, and a corresponding Wigner distribution function for the state vectors. The consistency of this approach is important for the strategy of fractionalization of a finite Fourier transform, and the contraction of finite unitary to continuous symplectic transformations of Hamiltonian systems.

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