Coherent State Quantization of Time of Arrival Functions of Confined and Free Particles

This work presents coherent state quantization f↔f(x)|XX|dμ(X) applied to the classical time of arrival functions of the form T(q,p)=-μqp, expressed in different coordinate systems, corresponding to phase spaces of the p confined and free particle, respectively. The most important ingredient in this...

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Main Authors:	Romeo, Daisy A, Nable, Job A
Format:	text
Published:	Archīum Ateneo 2022
Subjects:	coherent state quantization Physical Sciences and Mathematics Physics
Online Access:	https://archium.ateneo.edu/mathematics-faculty-pubs/226 https://doi.org/10.1063/5.0092906
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Institution:	Ateneo De Manila University

id	ph-ateneo-arc.mathematics-faculty-pubs-1227
record_format	eprints
spelling	ph-ateneo-arc.mathematics-faculty-pubs-12272023-01-11T07:16:55Z Coherent State Quantization of Time of Arrival Functions of Confined and Free Particles Romeo, Daisy A Nable, Job A This work presents coherent state quantization f↔f(x)\|XX\|dμ(X) applied to the classical time of arrival functions of the form T(q,p)=-μqp, expressed in different coordinate systems, corresponding to phase spaces of the p confined and free particle, respectively. The most important ingredient in this technique is the coherent state. Two ways of constructing coherent states will be adopted:via unitary group representations and via superposition method, applied to time of arrival function of one-dimensional confined and free particles. 2022-01-01T08:00:00Z text https://archium.ateneo.edu/mathematics-faculty-pubs/226 https://doi.org/10.1063/5.0092906 Mathematics Faculty Publications Archīum Ateneo coherent state quantization Physical Sciences and Mathematics Physics
institution	Ateneo De Manila University
building	Ateneo De Manila University Library
continent	Asia
country	Philippines Philippines
content_provider	Ateneo De Manila University Library
collection	archium.Ateneo Institutional Repository
topic	coherent state quantization Physical Sciences and Mathematics Physics
spellingShingle	coherent state quantization Physical Sciences and Mathematics Physics Romeo, Daisy A Nable, Job A Coherent State Quantization of Time of Arrival Functions of Confined and Free Particles
description	This work presents coherent state quantization f↔f(x)\|XX\|dμ(X) applied to the classical time of arrival functions of the form T(q,p)=-μqp, expressed in different coordinate systems, corresponding to phase spaces of the p confined and free particle, respectively. The most important ingredient in this technique is the coherent state. Two ways of constructing coherent states will be adopted:via unitary group representations and via superposition method, applied to time of arrival function of one-dimensional confined and free particles.
format	text
author	Romeo, Daisy A Nable, Job A
author_facet	Romeo, Daisy A Nable, Job A
author_sort	Romeo, Daisy A
title	Coherent State Quantization of Time of Arrival Functions of Confined and Free Particles
title_short	Coherent State Quantization of Time of Arrival Functions of Confined and Free Particles
title_full	Coherent State Quantization of Time of Arrival Functions of Confined and Free Particles
title_fullStr	Coherent State Quantization of Time of Arrival Functions of Confined and Free Particles
title_full_unstemmed	Coherent State Quantization of Time of Arrival Functions of Confined and Free Particles
title_sort	coherent state quantization of time of arrival functions of confined and free particles
publisher	Archīum Ateneo
publishDate	2022
url	https://archium.ateneo.edu/mathematics-faculty-pubs/226 https://doi.org/10.1063/5.0092906
_version_	1754713755348893696

Coherent State Quantization of Time of Arrival Functions of Confined and Free Particles

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