Quantum solvability of a nonlinear $\delta$-type mass profile system: Coupling constant quantization
Quantum Physics
2022-08-01 v1 Exactly Solvable and Integrable Systems
Abstract
In this paper, we discuss the quantum dynamics of a nonlinear system that admits temporally localized solutions at the classical level. We consider a general ordered position-dependent mass Hamiltonian in which the ordering parameters of the mass term are treated as arbitrary. The mass function here is singular at the origin. We observe that the quantum system admits bounded solutions but importantly the coupling parameter of the system gets quantized which has also been confirmed by the semiclassical study as well.
Cite
@article{arxiv.2207.14543,
title = {Quantum solvability of a nonlinear $\delta$-type mass profile system: Coupling constant quantization},
author = {V. Chithiika Ruby and V. K. Chandrasekar and M. Lakshmanan},
journal= {arXiv preprint arXiv:2207.14543},
year = {2022}
}
Comments
Accepted for publication in Journal of Physics Communications