Generalized oscillator and its coherent states

Chon‐Fai Kam, Wei-Min Zhang, D.H. Feng

Hai Yan Zhao

Generalized Coherent States of Non Harmonic Oscillator and Generalized Coherent States of two Dimensional Harmonic Oscillator are investigated.As a result,the generalized Coherent States of 2+1 Dimensional Harmonic Non Harmonic Oscillator is discussed.

Rainer Dick

Vladislav G. Bagrov, Dmitri M Gitman, Edmilson dos Santos Macêdo +1 more

We consider an example of a quantum system with a continuous and unbounded spectrum—a particle in the parabolic potential barrier. Conditionally, we call this system the inverse oscillator. Following the method used in our previous publication (Bagrov et al 2012 J. Phys. A: Math. Theor. 45 125306), we construct different families of generalized coherent states (GCS). We discuss properties of the constructed GCS and their relation to what is already known in the literature about semiclassical states for the inverse oscillator. Then in the same manner, we construct families of GCS for the normal oscillator. Using special variables, we succeeded in constructing GCS for the normal oscillator that admit different limiting cases: free particle GCS, the usual Schrödinger, Glauber CS and GCS of the inverse oscillator.

Won Sang Chung

Generalized coherent states for a family of iso-spectral oscillator Hamiltonian are constructed from a suitable choice of the step operators of the harmonic oscillator. We investigate the non-classical property of these coherent states.

Rainer Dick