A Time-Dependent Anharmonic Oscillator

Quantum Fest 2016 International Conference on Quantum Phenomena, Quantum Control and Quantum Optics

Contreras-Astorga, A.^1

Department of Physics, Indiana University Northwest, 3400 Broadway, Gary

IN

46408, United States^1

关键词: Anharmonic oscillators;    Coherent state;    Harmonic oscillators;    Supersymmetric quantum mechanics;    Time dependent;    Time-dependent potentials;    Time-independent Hamiltonian;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/839/1/012019/pdf
DOI  :  10.1088/1742-6596/839/1/012019

来源: IOP

【 摘 要 】

Supersymmetric Quantum Mechanics is commonly used to generate time independent Hamiltonians with a desired spectrum. This technique can be generalized to construct time dependent potentials. In this work, the harmonic oscillator and a coherent state are taken to perform a generalized SUSY transformation in order to obtain a time dependent anharmonic oscillator.