Analytical simulations of double-well, triple-well and multi-well dynamics via rationally extended Harmonic oscillator

23rd International Conference on Integrable Systems and Quantum Symmetries

Pupasov-Maksimov, Andrey M.^1

Depto. de Matemática, ICE, Universidade Federal de Juiz de Fora MG, Brazil^1

关键词: Analytical simulations;    Delta-V;    Double well;    Harmonic oscillators;    Multi wells;    Quantum tunnelling;    Triple well;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/670/1/012042/pdf
DOI  :  10.1088/1742-6596/670/1/012042

来源: IOP

【 摘 要 】

Quantum tunnelling in two-well, triple-well and multi-well potentials is studied analytically with the aid of exact propagators Kσ(x,y; t) corresponding to rational extensions Hσ= Hosc+ ΔVσof the Harmonic oscillator.