activity
19932024
most citedMoyal Quantization for Constrained System

9 citations · 27 across the 10 of their papers we have counts for

collaborators

11 papers

quant-ph2024

Theory of Complex Particle without Extra Dimensions

Takayuki Hori

Complex particle is a kind of bilocal particle having unexpected symmetry, which was proposed by the authour. In the present paper, we show that critical dimension of the complex p…

physics.class-ph2019

Another Counter-Example to Dirac's Conjecture

Takayuki Hori

Another counter-example to Dirac's Conjecture is presented, which resembles the Cawley model but is so modified as to include second class constraints. The arbitrary function in th…

math-ph2019★ 1 cited

Restriction on Dirac's Conjecture

Takayuki Hori

First class constraints in a canonical formalism of a gauge theory might generate transformations which map a state to its physically equivalent state. This is called Dirac's conje…

hep-th2009★ 3 cited

Relativistic Particle in Complex Space Time

Takayuki Hori

A modified version of the bilocal particle is presented in terms of complex space time. Unusual constraint structure of the model is studied, and a new concept of the physical equi…

hep-th2003

Quantization via Star Products

Takayuki Hori, Takao Koikawa

We study quantization via star products. We investigate a quantization scheme in which a quantum theory is described entirely in terms of the function space without reference to a…

hep-th2002★ 9 cited

Moyal Quantization for Constrained System

Takayuki Hori, Takao Koikawa, Takuya Maki

We study the Moyal quantization for the constrained system. One of the purposes is to give a proper definition of the Wigner-Weyl(WW) correspondence, which connects the Weyl symbol…