On the Weyl symbol of the resolvent of the harmonic oscillator
Jan Derezi\'nski, Maciej Karczmarczyk
TL;DR
This paper calculates the Weyl symbol of the harmonic oscillator's resolvent and investigates its mathematical properties, providing insights into its structure and behavior.
Contribution
It introduces an explicit computation of the Weyl symbol for the harmonic oscillator's resolvent, a novel analytical result in quantum mechanics.
Findings
Explicit form of the Weyl symbol derived
Properties of the Weyl symbol analyzed
Potential applications in quantum analysis
Abstract
We compute the Weyl symbol of the resolvent of the harmonic oscillator and study its properties.
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.
Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · Mathematical Analysis and Transform Methods · Algebraic and Geometric Analysis