Generally Deformed Oscillator, Isospectral Oscillator System and Hermitian Phase Operator

Details Generally Deformed Oscillator, Isospectral Oscillator System and Hermitian Phase Operator Generally Deformed Oscillator, Isospectral Oscillator System and Hermitian Phase Operator

1996-11-02

arxiv.org/abs/quant-ph/9611003v1

J.Phys.A29:4049,1996

Physics

Quantum Physics

21 pages, latex, no figures

Scientific paper

10.1088/0305-4470/29/14/027

The generally deformed oscillator (GDO) and its multiphoton realization as well as the coherent and squeezed vacuum states are studied. We discuss, in particular, the GDO depending on a complex parameter q (therefore we call it q-GDO) together with the finite dimensional cyclic representations. As a realistic physical system of GDO the isospectral oscillator system is studied and it is found that its coherent and squeezed vacuum states are closely related to those of the oscillator. It is pointed out that starting from the q-GDO with q root of unity one can define the hermitian phase operators in quantum optics consistently and algebraically. The new creation and annihilation operators of the Pegg-Barnett type phase operator theory are defined by using the cyclic representations and these operators degenerate to those of the ordinary oscillator in the classical limit q->1.

Affiliated with

Also associated with

No associations

Rating

Generally Deformed Oscillator, Isospectral Oscillator System and Hermitian Phase Operator does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Generally Deformed Oscillator, Isospectral Oscillator System and Hermitian Phase Operator, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generally Deformed Oscillator, Isospectral Oscillator System and Hermitian Phase Operator will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-236084