Hyperboloid, instanton, oscillator
Stefano Bellucci, Levon Mardoyan, Armen Nersessian
TL;DR
This paper introduces an exactly solvable model of a four-dimensional oscillator on a hyperboloid interacting with an SU(2) instanton, providing explicit wavefunctions and spectrum analysis.
Contribution
It presents a novel exactly solvable quantum oscillator model on a hyperboloid coupled with an SU(2) instanton, expanding the understanding of such systems.
Findings
Explicit wavefunctions derived
Spectrum calculated and analyzed
Model demonstrates solvability on curved space
Abstract
We suggest the exactly solvable model of the oscillator on a four-dimensional hyperboloid which interacts with a SU(2) instanton. We calculate its wavefunctions and spectrum.
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