Coherent States for the Non-Linear Harmonic Oscillator

Abstract

Wave packets for the Quantum Non-Linear Oscillator are considered in the Generalized Coherent State framerwork. To first order in the non-linearity parameter the Coherent State behaves very similarly to its classical counterpart. The position expectation value oscillates in a simple harmonic manner. The energy-momentum uncertainty relation is time independent as in a harmonic oscillator. Various features, (such as the Squeezed State nature), of the Coherent State have been discussed.

References in corpus (3)

• Universality of Quantum Gravity Corrections
• "Stringy" Coherent States Inspired By Generalized Uncertainty Principle
• Nonsingular potentials from excited state factorization of a quantum system with position dependent mass

Cited by in corpus (6)

• "Stringy" Coherent States Inspired By Generalized Uncertainty Principle
• Algebraic solutions of shape-invariant position-dependent effective mass systems
• Barut-Girardello coherent states for nonlinear oscillator with position-dependent mass
• Coherent states of nonlinear oscillators with position-dependent mass: the temporal stability and fractional revivals
• Generalized ladder operators for the perturbed harmonic oscillator
• On the Stability of Coherent States for Pais-Uhlenbeck Oscillator