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

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

URL: http://arxiv.org/abs/2207.14543v1
Date: Fri, 29 Jul 2022 08:21:09 GMT
Title: Quantum solvability of a nonlinear $\delta$-type mass profile system: Coupling constant quantization
Authors: V. Chithiika Ruby, V. K. Chandrasekar and M. Lakshmanan
Abstract summary: We consider a general ordered position-dependent mass Hamiltonian in which the ordering parameters of the mass term are treated as arbitrary. We observe that the quantum system admits bounded solutions but importantly the coupling parameter of the system gets quantized.
Score: 1.3907460999698045
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
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.

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