Quantum solvability of a nonlinear $\delta$-type mass profile system: Coupling constant quantization

Autor:	Ruby, V. Chithiika, Chandrasekar, V. K., Lakshmanan, M.
Rok vydání:	2022
Předmět:	Quantum Physics Nonlinear Sciences - Exactly Solvable and Integrable Systems
Druh dokumentu:	Working Paper
Popis:	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. Comment: Accepted for publication in Journal of Physics Communications
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2207.14543 Zobrazit plný text záznamu View this record from Arxiv