Coherent states in finite-dimensional Hilbert space and their Wigner representation

1996 ◽  
Vol 43 (2) ◽  
pp. 417-432 ◽  
Author(s):  
Tomáš Opatrný ◽  
Adam Miranowicz ◽  
Jiří Bajer
Keyword(s):  
Hilbert Space ◽  
Coherent States ◽  
Finite Dimensional ◽  
Dimensional Hilbert Space ◽  
Wigner Representation ◽  
Finite Dimensional Hilbert Space

q-PHASE OPERATOR IN A FINITE-DIMENSIONAL HILBERT SPACE

1995 ◽  
Vol 10 (04) ◽  
pp. 347-357 ◽  
Author(s):  
YAPING YANG ◽  
ZURONG YU
Keyword(s):  
Hilbert Space ◽  
Electromagnetic Field ◽  
Harmonic Oscillator ◽  
Coherent States ◽  
Single Mode ◽  
Phase Operator ◽  
Finite Dimensional ◽  
Dimensional Hilbert Space ◽  
Finite Dimensional Hilbert Space ◽  
Phase Operators

In this letter, the unitary and Hermitian phase operators for the single-mode electromagnetic field are given in the q-deformed case. A new kind of q-coherent states of a q-harmonic oscillator in a finite-dimensional Hilbert space are introduced. Some properties of these operators and q-coherent states are discussed.

Coherent states in a finite-dimensional Hilbert space

1994 ◽  
Vol 50 (4) ◽  
pp. 3423-3426 ◽  
Author(s):  
A. Miranowicz ◽  
K. Pia̧tek ◽  
R. Tanaś
Keyword(s):  
Hilbert Space ◽  
Coherent States ◽  
Finite Dimensional ◽  
Dimensional Hilbert Space ◽  
Finite Dimensional Hilbert Space
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