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math-ph2022
Antinormally-Ordered Quantizations, phase space path integrals and the Olshanski semigroup of a symplectic group
Hideyasu Yamashita
The main aim of this article is to show some intimate relations among the following three notions: (1) the metaplectic representation of and its extension to so…
math-ph2022
The Berezin-Simon quantization for Kähler manifolds and their path integral representations
Hideyasu Yamashita
The Berezin--Simon (BS) quantization is a rigorous version of the ``operator formalism'' of quantization procedure. The goal of the paper is to present a rigorous real-time (not im…
math-ph2018
Glauber-Sudarshan-type quantizations and their path integral representations for compact Lie groups
Hideyasu Yamashita
In this paper, we consider an arbitrary irreducible unitary representation of a compact connected, simply connected semisimple Lie group with highest weight , an…