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.

NONCLASSICAL EFFECTS OF THE STATES GENERATED BY EXCITATIONS ON A COHERENT STATE OF A HARMONIC OSCILLATOR IN A FINITE-DIMENSIONAL HILBERT SPACE

2005 ◽  
Vol 19 (16) ◽  
pp. 779-784
Author(s):  
YUAN-XING LI ◽  
QIN-MEI WANG ◽  
JING-BO XU
Keyword(s):  
Hilbert Space ◽  
Coherent State ◽  
Harmonic Oscillator ◽  
Physical Properties ◽  
The State ◽  
Photon Statistics ◽  
Finite Dimensional ◽  
Dimensional Hilbert Space ◽  
Finite Dimensional Hilbert Space

The mathematical and physical properties of the states which are generated by excitations on the coherent state of a harmonic oscillator in a finite-dimensional Hilbert space are studied. It is shown that the state exhibits squeezing in one of the quadratures of the field and sub-Poissonian photon statistics.

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