Star-product quantization and symplectic tomography
Olga V. Man'ko
TL;DR
This paper reviews symplectic tomographic methods in star-product quantization, exploring classical and quantum mechanics representations, and providing kernels for operator symbols in these frameworks.
Contribution
It introduces and summarizes the kernels of star-products for symbols of operators in classical and quantum symplectic tomography.
Findings
Presented kernels of star-products for operator symbols.
Reviewed symplectic tomographic approaches in quantization.
Connected classical and quantum statistical mechanics via tomography.
Abstract
A review of the symplectic tomographic approaches within the framework of star-product quantization is presented. The classical statistical mechanics within the framework of the tomographic representation is considered. The kernels of star-product of functions - symbols of operators in classical and quantum mechanics are presented.
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
Topicsadvanced mathematical theories · Quantum Mechanics and Applications