Model of a relativistic oscillator in a generalized Schr\"odinger picture
Rudolf A. Frick
TL;DR
This paper develops a model of a relativistic oscillator within a generalized Schrödinger framework, linking it to Anti de Sitter space symmetries and exploring its nonrelativistic limit.
Contribution
It introduces a novel relativistic oscillator model in a generalized Schrödinger picture connected to AdS space symmetries, extending traditional quantum oscillator frameworks.
Findings
Operators are independent of time and space coordinates in this picture.
The model relates to Killing vectors of Anti de Sitter space.
Nonrelativistic limit of the model is analyzed.
Abstract
In a generalized Schr\"odinger picture, we consider the motion of a relativistic particle in an external field (like in the case of a harmonic oscillator). In this picture the analogs of the Schr\"odinger operators of the particle are independent of both the time and the space coordinates. These operators induce operators which are related to Killing vectors of the Anti de Sitter (AdS) space. We also consider the nonrelativistic limit.
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.