3 citations · 3 across the 6 of their papers we have counts for
6 papers
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…
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…
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…
Smooth approximation of Yang--Mills theory on : a rough path approach
Hideyasu Yamashita
In the context of rough path theory (RPT), the theories of Hairer (2014) and Gubinelli--Imkeller--Perkowski (2015) (GIP theory) gave new methods for construction of mod…
Hyperfinite-Dimensional Representations of Canonical Commutation Relation
Hideyasu Yamashita
This paper presents some methods of representing canonical commutation relations in terms of hyperfinite-dimensional matrices, which are constructed by nonstandard analysis. The fi…
Hyperfinite-operational Approach to the Problem of Time Reversibility of Quantum Mechanics
Hideyasu Yamashita
This paper outlines a mathematical framework of quantum probability in which the time asymmetry in describing measuring processes is avoided. The main objects of the framework are…