On the Quantizations of the Damped Systems

Mod. Phys. Lett. A8 (1993) 2037-2044 Based on a simple observation that a classical second order differential equation may be decomposed into a set of two first order equations, we introduce a Hamiltonian framework to quantize the damped systems. In particular, we analyze the system of a linear damp...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
1. Verfasser: Chou, Chihong
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue
container_start_page
container_title
container_volume
creator Chou, Chihong
description Mod. Phys. Lett. A8 (1993) 2037-2044 Based on a simple observation that a classical second order differential equation may be decomposed into a set of two first order equations, we introduce a Hamiltonian framework to quantize the damped systems. In particular, we analyze the system of a linear damped harmonic oscillator and demonstrate that the time evolution of the Schr\"odinger equation is unambiguously determined.
doi_str_mv 10.48550/arxiv.hep-th/9303137
format Article
fullrecord <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_hep_th_9303137</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>hep_th_9303137</sourcerecordid><originalsourceid>FETCH-arxiv_primary_hep_th_93031373</originalsourceid><addsrcrecordid>eNpjYJA1NNAzsTA1NdBPLKrILNPLSC3QLcnQtzQ2MDY0Nudk0PLPUyjJSFUILE3MK8msSizJzM8rVshPAwu6JOYWpKYoBFcWl6TmFvMwsKYl5hSn8kJpbgZlN9cQZw9dsMnxBUWZuYlFlfFAG-JLMuKhNhgTpwoAzNw0YA</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>On the Quantizations of the Damped Systems</title><source>arXiv.org</source><creator>Chou, Chihong</creator><creatorcontrib>Chou, Chihong</creatorcontrib><description>Mod. Phys. Lett. A8 (1993) 2037-2044 Based on a simple observation that a classical second order differential equation may be decomposed into a set of two first order equations, we introduce a Hamiltonian framework to quantize the damped systems. In particular, we analyze the system of a linear damped harmonic oscillator and demonstrate that the time evolution of the Schr\"odinger equation is unambiguously determined.</description><identifier>DOI: 10.48550/arxiv.hep-th/9303137</identifier><language>eng</language><subject>Physics - High Energy Physics - Theory</subject><creationdate>1993-03</creationdate><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,778,883</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/hep-th/9303137$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.hep-th/9303137$$DView paper in arXiv$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.1142/S0217732393001744$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink></links><search><creatorcontrib>Chou, Chihong</creatorcontrib><title>On the Quantizations of the Damped Systems</title><description>Mod. Phys. Lett. A8 (1993) 2037-2044 Based on a simple observation that a classical second order differential equation may be decomposed into a set of two first order equations, we introduce a Hamiltonian framework to quantize the damped systems. In particular, we analyze the system of a linear damped harmonic oscillator and demonstrate that the time evolution of the Schr\"odinger equation is unambiguously determined.</description><subject>Physics - High Energy Physics - Theory</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1993</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNpjYJA1NNAzsTA1NdBPLKrILNPLSC3QLcnQtzQ2MDY0Nudk0PLPUyjJSFUILE3MK8msSizJzM8rVshPAwu6JOYWpKYoBFcWl6TmFvMwsKYl5hSn8kJpbgZlN9cQZw9dsMnxBUWZuYlFlfFAG-JLMuKhNhgTpwoAzNw0YA</recordid><startdate>19930324</startdate><enddate>19930324</enddate><creator>Chou, Chihong</creator><scope>GOX</scope></search><sort><creationdate>19930324</creationdate><title>On the Quantizations of the Damped Systems</title><author>Chou, Chihong</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_hep_th_93031373</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1993</creationdate><topic>Physics - High Energy Physics - Theory</topic><toplevel>online_resources</toplevel><creatorcontrib>Chou, Chihong</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Chou, Chihong</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On the Quantizations of the Damped Systems</atitle><date>1993-03-24</date><risdate>1993</risdate><abstract>Mod. Phys. Lett. A8 (1993) 2037-2044 Based on a simple observation that a classical second order differential equation may be decomposed into a set of two first order equations, we introduce a Hamiltonian framework to quantize the damped systems. In particular, we analyze the system of a linear damped harmonic oscillator and demonstrate that the time evolution of the Schr\"odinger equation is unambiguously determined.</abstract><doi>10.48550/arxiv.hep-th/9303137</doi><oa>free_for_read</oa></addata></record>
fulltext fulltext_linktorsrc
identifier DOI: 10.48550/arxiv.hep-th/9303137
ispartof
issn
language eng
recordid cdi_arxiv_primary_hep_th_9303137
source arXiv.org
subjects Physics - High Energy Physics - Theory
title On the Quantizations of the Damped Systems
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-16T23%3A21%3A39IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=On%20the%20Quantizations%20of%20the%20Damped%20Systems&rft.au=Chou,%20Chihong&rft.date=1993-03-24&rft_id=info:doi/10.48550/arxiv.hep-th/9303137&rft_dat=%3Carxiv_GOX%3Ehep_th_9303137%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true