On the generalized intelligent states and certain related nonclassical states of a quantum exactly solvable nonlinear oscillator

Details On the generalized intelligent states and certain related nonclassical states of a quantum exactly solvable nonlinear oscillator On the generalized intelligent states and certain related nonclassical states of a quantum exactly solvable nonlinear oscillator

2010-08-24

arxiv.org/abs/1008.4041v1

Physics

Quantum Physics

22 pages, 3 figures, Accepted for Publication in Journal of Physics A: Mathematical and Theoretical

Scientific paper

We construct nonlinear coherent states or f-deformed coherent states for a nonpolynomial nonlinear oscillator which can be considered as placed in the middle between the harmonic oscillator and the isotonic oscillator (Cari\~nena J F et al, J. Phys. A: Math. Theor. 41, 085301 (2008)). The deformed annihilation and creation operators which are required to construct the nonlinear coherent states in the number basis are obtained from the solution of the Schr\"odinger equation. Using these operators, we construct generalized intelligent states, nonlinear coherent states, Gazeau-Klauder coherent states and the even and odd nonlinear coherent states for this newly solvable system. We also report certain nonclassical properties exhibited by these nonlinear coherent states. In addition to the above, we consider position dependent mass Schr\"odinger equation associated with this solvable nonlinear oscillator and construct nonlinear coherent states, Gazeau-Klauder coherent states and the even and odd nonlinear coherent states for it. We also give explicit expressions of all these nonlinear coherent states by considering a mass profile which is often used for studying transport properties in semiconductors.

Affiliated with

Also associated with

No associations

Rating

On the generalized intelligent states and certain related nonclassical states of a quantum exactly solvable nonlinear oscillator 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 On the generalized intelligent states and certain related nonclassical states of a quantum exactly solvable nonlinear oscillator, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the generalized intelligent states and certain related nonclassical states of a quantum exactly solvable nonlinear oscillator will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-393889