MARKOV DIFFUSIONS IN COMOVING COORDINATES AND STOCHASTIC QUANTIZATION OF THE FREE RELATIVISTIC SPINLESS PARTICLE
J.Math.Phys. 36 (1995) 4691-4710; Erratum-ibid. 37 (1996) 4769 We revisit the classical approach of comoving coordinates in relativistic hydrodynamics and we give a constructive proof for their global existence under suitable conditions which is proper for stochastic quantization. We show that it is...
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| creator | Morato, Laura M Viola, Lorenza |
| description | J.Math.Phys. 36 (1995) 4691-4710; Erratum-ibid. 37 (1996) 4769 We revisit the classical approach of comoving coordinates in relativistic
hydrodynamics and we give a constructive proof for their global existence under
suitable conditions which is proper for stochastic quantization. We show that
it is possible to assign stochastic kinematics for the free relativistic
spinless particle as a Markov diffusion globally defined on ${\sf M}^4$. Then
introducing dynamics by means of a stochastic variational principle with
Einstein's action, we are lead to positive-energy solutions of Klein-Gordon
equation. The procedure exhibits relativistic covariance properties. |
| doi_str_mv | 10.48550/arxiv.quant-ph/9505007 |
| format | Article |
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hydrodynamics and we give a constructive proof for their global existence under
suitable conditions which is proper for stochastic quantization. We show that
it is possible to assign stochastic kinematics for the free relativistic
spinless particle as a Markov diffusion globally defined on ${\sf M}^4$. Then
introducing dynamics by means of a stochastic variational principle with
Einstein's action, we are lead to positive-energy solutions of Klein-Gordon
equation. The procedure exhibits relativistic covariance properties.</description><identifier>DOI: 10.48550/arxiv.quant-ph/9505007</identifier><language>eng</language><subject>Physics - Quantum Physics</subject><creationdate>1995-05</creationdate><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/quant-ph/9505007$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.quant-ph/9505007$$DView paper in arXiv$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.1063/1.531333$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink></links><search><creatorcontrib>Morato, Laura M</creatorcontrib><creatorcontrib>Viola, Lorenza</creatorcontrib><title>MARKOV DIFFUSIONS IN COMOVING COORDINATES AND STOCHASTIC QUANTIZATION OF THE FREE RELATIVISTIC SPINLESS PARTICLE</title><description>J.Math.Phys. 36 (1995) 4691-4710; Erratum-ibid. 37 (1996) 4769 We revisit the classical approach of comoving coordinates in relativistic
hydrodynamics and we give a constructive proof for their global existence under
suitable conditions which is proper for stochastic quantization. We show that
it is possible to assign stochastic kinematics for the free relativistic
spinless particle as a Markov diffusion globally defined on ${\sf M}^4$. Then
introducing dynamics by means of a stochastic variational principle with
Einstein's action, we are lead to positive-energy solutions of Klein-Gordon
equation. The procedure exhibits relativistic covariance properties.</description><subject>Physics - Quantum Physics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1995</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNqNjrsOgjAYhbs4GPUZ_BdHoEaJOjbQyh-xxbYwuBAGDSRqEC_Rt5cQHsDpXHJO8hEynVN3ufZ96hXNp3q791dxezp16W186lO6GpJ6z_ROZRCiEKlBJQ2ghEDtVYZy2xqlQ5TMcgNMhmCsCiJmLAZwSJm0eGS2PYESYCMOQnMOmsdtmWG3MgnKmBsDCdNtjvmYDM7F5XGa9DoiM8FtEDkdYV431bVovnlHmtdl3pMu_t39AGG1RtA</recordid><startdate>19950516</startdate><enddate>19950516</enddate><creator>Morato, Laura M</creator><creator>Viola, Lorenza</creator><scope>GOX</scope></search><sort><creationdate>19950516</creationdate><title>MARKOV DIFFUSIONS IN COMOVING COORDINATES AND STOCHASTIC QUANTIZATION OF THE FREE RELATIVISTIC SPINLESS PARTICLE</title><author>Morato, Laura M ; Viola, Lorenza</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_quant_ph_95050073</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1995</creationdate><topic>Physics - Quantum Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Morato, Laura M</creatorcontrib><creatorcontrib>Viola, Lorenza</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Morato, Laura M</au><au>Viola, Lorenza</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>MARKOV DIFFUSIONS IN COMOVING COORDINATES AND STOCHASTIC QUANTIZATION OF THE FREE RELATIVISTIC SPINLESS PARTICLE</atitle><date>1995-05-16</date><risdate>1995</risdate><abstract>J.Math.Phys. 36 (1995) 4691-4710; Erratum-ibid. 37 (1996) 4769 We revisit the classical approach of comoving coordinates in relativistic
hydrodynamics and we give a constructive proof for their global existence under
suitable conditions which is proper for stochastic quantization. We show that
it is possible to assign stochastic kinematics for the free relativistic
spinless particle as a Markov diffusion globally defined on ${\sf M}^4$. Then
introducing dynamics by means of a stochastic variational principle with
Einstein's action, we are lead to positive-energy solutions of Klein-Gordon
equation. The procedure exhibits relativistic covariance properties.</abstract><doi>10.48550/arxiv.quant-ph/9505007</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Physics - Quantum Physics |
| title | MARKOV DIFFUSIONS IN COMOVING COORDINATES AND STOCHASTIC QUANTIZATION OF THE FREE RELATIVISTIC SPINLESS PARTICLE |
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