The alternative model of the spherical oscillator
Levon Mardoyan
TL;DR
This paper derives the wave functions and energy spectra of an alternative spherical oscillator model on D-dimensional spheres and hyperboloids, expanding understanding of quantum systems in curved spaces.
Contribution
It introduces a novel alternative model of the spherical oscillator and computes its wave functions and spectra on curved geometries.
Findings
Wave functions for the alternative spherical oscillator are obtained.
Energy spectra are explicitly calculated for D-dimensional spheres and hyperboloids.
The model extends the understanding of quantum oscillators in curved spaces.
Abstract
The quasiradial wave functions and energy spectra of the alternative model of spherical oscillator on the -dimensional sphere and two-sheeted hyperboloid are found.
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Taxonomy
TopicsMathematical Control Systems and Analysis · Advanced Computational Techniques in Science and Engineering · Scientific Research and Discoveries