Coherent states for the nonlinear harmonic oscillator
Subir Ghosh
Abstract
Open-access reader
Subir Ghosh
Abstract
Open-access reader
Wave packets for the quantum nonlinear oscillator are considered in the generalized coherent state framework. To first order in the nonlinearity parameter the coherent state behaves very similar 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.
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Wave packets for the quantum nonlinear oscillator are considered in the generalized coherent state framework. To first order in the nonlinearity parameter the coherent state behaves very similar 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.
Key concepts: Coherent states, Harmonic oscillator, Quantum harmonic oscillator, Squeezed coherent state, Quantum mechanics, Wave packet, Physics, Nonlinear system