The Relativistic Linear Singular Oscillator
Shakir M. Nagiyev, Elchin I. Jafarov, Rizvan M. Imanov
TL;DR
This paper presents an exactly solvable relativistic model of the linear singular oscillator, deriving wavefunctions and energy spectrum that correctly reduce to non-relativistic limits, advancing understanding of relativistic quantum systems.
Contribution
Introduces a new exactly solvable relativistic linear singular oscillator model with explicit wavefunctions and energy spectrum, connecting relativistic and non-relativistic quantum mechanics.
Findings
Wavefunctions derived for the relativistic oscillator
Energy spectrum obtained with correct non-relativistic limit
Model provides a solvable example in relativistic quantum mechanics
Abstract
Exactly-solvable model of the linear singular oscillator in the relativistic configurational space is considered. We have found wavefunctions and energy spectrum for the model under study. It is shown that they have correct non-relativistic limits.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.