Berezin-Toeplitz quantization and the least unsharpness principle

2020/03/23 by Ioos, Louis, Kazhdan, David, Polterovich, Leonid · 1 citation
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2003.10345

Abstract

We show that compatible almost-complex structures on symplectic manifolds correspond to optimal quantizations.

Cited by

• Quantization of Kähler manifolds via differential operators

Related

• Quantization of compact symplectic manifolds
• Berezin-Toeplitz quantization on symplectic manifolds of bounded geometry
• Quantization of symplectic fibrations and canonical metrics
• Quantization and isotropic submanifolds
• Almost complex structures and geometric quantization