Charged Particle in a Time-dependent Electric Field: A White Noise Functional Approach

The propagator for a charged particle in a time-dependent electric field is calculated following Hida and Streit's framework [1] where the propagator is the T-transform of Feynman functional. However, we have to regard the potential V = -qE(t)x[s'x following C. C. Bernido and M. V. Carpio-...

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Hauptverfasser:	Gravador, E B, Bornales, J B, Liwanag, M J
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Sprache:	eng
Schlagworte:	BROWNIAN MOVEMENT CHARGED PARTICLES CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ELECTRIC FIELDS FUNCTIONAL ANALYSIS MAGNETIC FIELDS NOISE POTENTIALS PROPAGATOR QUANTUM MECHANICS STOCHASTIC PROCESSES TIME DEPENDENCE
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creator	Gravador, E B Bornales, J B Liwanag, M J
description	The propagator for a charged particle in a time-dependent electric field is calculated following Hida and Streit's framework [1] where the propagator is the T-transform of Feynman functional. However, we have to regard the potential V = -qE(t)x[s'x following C. C. Bernido and M. V. Carpio-Bernido's [2] prescription of time-dependent potentials. The result agrees with the limiting form of Eqn. (16) of N. Morgenstern Horing, H. L. Cui, and G. Fiorenza [3], when the magnetic field is switched off, and Eqn. (17) of [3] when the electric field is constant in time.
doi_str_mv	10.1063/1.2956802
format	Conference Proceeding
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(17) of [3] when the electric field is constant in time.</description><identifier>ISSN: 0094-243X</identifier><identifier>ISBN: 0735405433</identifier><identifier>ISBN: 9780735405431</identifier><identifier>EISSN: 1551-7616</identifier><identifier>DOI: 10.1063/1.2956802</identifier><language>eng</language><publisher>United States</publisher><subject>BROWNIAN MOVEMENT ; CHARGED PARTICLES ; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ; ELECTRIC FIELDS ; FUNCTIONAL ANALYSIS ; MAGNETIC FIELDS ; NOISE ; POTENTIALS ; PROPAGATOR ; QUANTUM MECHANICS ; STOCHASTIC PROCESSES ; TIME DEPENDENCE</subject><ispartof>AIP conference proceedings, 2008, Vol.1021 (1), p.69-72</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,314,780,784,885,27923,27924</link.rule.ids><backlink>$$Uhttps://www.osti.gov/biblio/21148829$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Gravador, E B</creatorcontrib><creatorcontrib>Bornales, J B</creatorcontrib><creatorcontrib>Liwanag, M J</creatorcontrib><title>Charged Particle in a Time-dependent Electric Field: A White Noise Functional Approach</title><title>AIP conference proceedings</title><description>The propagator for a charged particle in a time-dependent electric field is calculated following Hida and Streit's framework [1] where the propagator is the T-transform of Feynman functional. However, we have to regard the potential V = -qE(t)x[s'x following C. C. Bernido and M. V. Carpio-Bernido's [2] prescription of time-dependent potentials. The result agrees with the limiting form of Eqn. (16) of N. Morgenstern Horing, H. L. Cui, and G. Fiorenza [3], when the magnetic field is switched off, and Eqn. (17) of [3] when the electric field is constant in time.</description><subject>BROWNIAN MOVEMENT</subject><subject>CHARGED PARTICLES</subject><subject>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</subject><subject>ELECTRIC FIELDS</subject><subject>FUNCTIONAL ANALYSIS</subject><subject>MAGNETIC FIELDS</subject><subject>NOISE</subject><subject>POTENTIALS</subject><subject>PROPAGATOR</subject><subject>QUANTUM MECHANICS</subject><subject>STOCHASTIC PROCESSES</subject><subject>TIME DEPENDENCE</subject><issn>0094-243X</issn><issn>1551-7616</issn><isbn>0735405433</isbn><isbn>9780735405431</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2008</creationdate><recordtype>conference_proceeding</recordtype><recordid>eNotj0tLAzEcxIMPsK0e_AYBwdvWvLPxVkqrQlEP9XFb0uRfN7JN6ib9_l2op5nDMPMbhG4pmVKi-AOdMiNVTdgZGlEpaaUVVedoTDSXgkjB-QUaEWJExQT_vkLjnH8JYUbreoQ-563tf8Djd9uX4DrAIWKL12EHlYc9RA-x4EUHrvTB4WWAzj_iGf5qQwH8mkIGvDxEV0KKtsOz_b5P1rXX6HJruww3_zpBH8vFev5crd6eXuazVZUYFaXSdc2Y83pjtsC9kGCkUFJT6RwhnLLBbzXbWKY4I9aojQFvuKw5CJB-uDNBd6felEtoshugXOtSjANvwygVw4AZUven1AD3d4Bcml3IDrrORkiH3HCmNdWS8yOYqF9D</recordid><startdate>20080101</startdate><enddate>20080101</enddate><creator>Gravador, E B</creator><creator>Bornales, J B</creator><creator>Liwanag, M J</creator><scope>7U5</scope><scope>8FD</scope><scope>L7M</scope><scope>OTOTI</scope></search><sort><creationdate>20080101</creationdate><title>Charged Particle in a Time-dependent Electric Field: A White Noise Functional Approach</title><author>Gravador, E B ; Bornales, J B ; Liwanag, M J</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-o214t-78822cd7b9fe3d45e95465715cc00312657f72ba26320a96b9ed93583e4e5d243</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2008</creationdate><topic>BROWNIAN MOVEMENT</topic><topic>CHARGED PARTICLES</topic><topic>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</topic><topic>ELECTRIC FIELDS</topic><topic>FUNCTIONAL ANALYSIS</topic><topic>MAGNETIC FIELDS</topic><topic>NOISE</topic><topic>POTENTIALS</topic><topic>PROPAGATOR</topic><topic>QUANTUM MECHANICS</topic><topic>STOCHASTIC PROCESSES</topic><topic>TIME DEPENDENCE</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Gravador, E B</creatorcontrib><creatorcontrib>Bornales, J B</creatorcontrib><creatorcontrib>Liwanag, M J</creatorcontrib><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>OSTI.GOV</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Gravador, E B</au><au>Bornales, J B</au><au>Liwanag, M J</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Charged Particle in a Time-dependent Electric Field: A White Noise Functional Approach</atitle><btitle>AIP conference proceedings</btitle><date>2008-01-01</date><risdate>2008</risdate><volume>1021</volume><issue>1</issue><spage>69</spage><epage>72</epage><pages>69-72</pages><issn>0094-243X</issn><eissn>1551-7616</eissn><isbn>0735405433</isbn><isbn>9780735405431</isbn><abstract>The propagator for a charged particle in a time-dependent electric field is calculated following Hida and Streit's framework [1] where the propagator is the T-transform of Feynman functional. However, we have to regard the potential V = -qE(t)x[s'x following C. C. Bernido and M. V. Carpio-Bernido's [2] prescription of time-dependent potentials. The result agrees with the limiting form of Eqn. (16) of N. Morgenstern Horing, H. L. Cui, and G. Fiorenza [3], when the magnetic field is switched off, and Eqn. (17) of [3] when the electric field is constant in time.</abstract><cop>United States</cop><doi>10.1063/1.2956802</doi><tpages>4</tpages></addata></record>
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subjects	BROWNIAN MOVEMENT CHARGED PARTICLES CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ELECTRIC FIELDS FUNCTIONAL ANALYSIS MAGNETIC FIELDS NOISE POTENTIALS PROPAGATOR QUANTUM MECHANICS STOCHASTIC PROCESSES TIME DEPENDENCE
title	Charged Particle in a Time-dependent Electric Field: A White Noise Functional Approach
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