The Quasi-exact models in two-dimensional curved space based on the generalized CRS Harmonic Oscillator
Ci Song, Yan Li, Jing-Ling Chen
TL;DR
This paper establishes a connection between the Higgs harmonic oscillator in curved space and the generalized CRS model, leading to the development of new quasi-exact models in two-dimensional curved space.
Contribution
It introduces a novel method to derive quasi-exact models in curved space by relating them to the generalized CRS harmonic oscillator.
Findings
Derived a series of quasi-exact models in curved space
Established a relation between Higgs oscillator and CRS model
Expanded the understanding of harmonic oscillators in curved geometries
Abstract
In this paper, by searching the relation between the radial part of Higgs harmonic oscillator in the two-dimensional curved space and the generalized CRS harmonic oscillator model, we can find a series of quasi-exact models in two-dimensional curved space based on this relation.
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Taxonomy
TopicsUnderwater Acoustics Research · Underwater Vehicles and Communication Systems · Advanced Computational Techniques and Applications