Quantum Potential and Symmetries in Extended Phase Space
SIGMA 2 (2006), 062, 12 pages The behavior of the quantum potential is studied for a particle in a linear and a harmonic potential by means of an extended phase space technique. This is done by obtaining an expression for the quantum potential in momentum space representation followed by the general...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| 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 | Nasiri, Sadollah |
| description | SIGMA 2 (2006), 062, 12 pages The behavior of the quantum potential is studied for a particle in a linear
and a harmonic potential by means of an extended phase space technique. This is
done by obtaining an expression for the quantum potential in momentum space
representation followed by the generalization of this concept to extended phase
space. It is shown that there exists an extended canonical transformation that
removes the expression for the quantum potential in the dynamical equation. The
situation, mathematically, is similar to disappearance of the centrifugal
potential in going from the spherical to the Cartesian coordinates that changes
the physical potential to an effective one. The representation where the
quantum potential disappears and the modified Hamilton-Jacobi equation reduces
to the familiar classical form, is one in which the dynamical equation turns
out to be the Wigner equation. |
| doi_str_mv | 10.48550/arxiv.quant-ph/0511125 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_quant_ph_0511125</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>quant_ph_0511125</sourcerecordid><originalsourceid>FETCH-arxiv_primary_quant_ph_05111253</originalsourceid><addsrcrecordid>eNpjYJA3NNAzsTA1NdBPLKrILNMrLE3MK9EtyNA3MDU0NDQy5WSwCAQJleYqBOSXpOaVZCbmKCTmpSgEV-bmppYUZaYWK2TmKbhWAOVSUlMUAjISi1MVggsSk1N5GFjTEnOKU3mhNDeDqptriLOHLtim-IKizNzEosp4sI3xBRnxUBuNiVUHANKNPD8</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Quantum Potential and Symmetries in Extended Phase Space</title><source>arXiv.org</source><creator>Nasiri, Sadollah</creator><creatorcontrib>Nasiri, Sadollah</creatorcontrib><description>SIGMA 2 (2006), 062, 12 pages The behavior of the quantum potential is studied for a particle in a linear
and a harmonic potential by means of an extended phase space technique. This is
done by obtaining an expression for the quantum potential in momentum space
representation followed by the generalization of this concept to extended phase
space. It is shown that there exists an extended canonical transformation that
removes the expression for the quantum potential in the dynamical equation. The
situation, mathematically, is similar to disappearance of the centrifugal
potential in going from the spherical to the Cartesian coordinates that changes
the physical potential to an effective one. The representation where the
quantum potential disappears and the modified Hamilton-Jacobi equation reduces
to the familiar classical form, is one in which the dynamical equation turns
out to be the Wigner equation.</description><identifier>DOI: 10.48550/arxiv.quant-ph/0511125</identifier><language>eng</language><subject>Mathematics - Mathematical Physics ; Physics - Mathematical Physics ; Physics - Quantum Physics</subject><creationdate>2005-11</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/0511125$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.quant-ph/0511125$$DView paper in arXiv$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.3842/SIGMA.2006.062$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink></links><search><creatorcontrib>Nasiri, Sadollah</creatorcontrib><title>Quantum Potential and Symmetries in Extended Phase Space</title><description>SIGMA 2 (2006), 062, 12 pages The behavior of the quantum potential is studied for a particle in a linear
and a harmonic potential by means of an extended phase space technique. This is
done by obtaining an expression for the quantum potential in momentum space
representation followed by the generalization of this concept to extended phase
space. It is shown that there exists an extended canonical transformation that
removes the expression for the quantum potential in the dynamical equation. The
situation, mathematically, is similar to disappearance of the centrifugal
potential in going from the spherical to the Cartesian coordinates that changes
the physical potential to an effective one. The representation where the
quantum potential disappears and the modified Hamilton-Jacobi equation reduces
to the familiar classical form, is one in which the dynamical equation turns
out to be the Wigner equation.</description><subject>Mathematics - Mathematical Physics</subject><subject>Physics - Mathematical Physics</subject><subject>Physics - Quantum Physics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2005</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNpjYJA3NNAzsTA1NdBPLKrILNMrLE3MK9EtyNA3MDU0NDQy5WSwCAQJleYqBOSXpOaVZCbmKCTmpSgEV-bmppYUZaYWK2TmKbhWAOVSUlMUAjISi1MVggsSk1N5GFjTEnOKU3mhNDeDqptriLOHLtim-IKizNzEosp4sI3xBRnxUBuNiVUHANKNPD8</recordid><startdate>20051114</startdate><enddate>20051114</enddate><creator>Nasiri, Sadollah</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20051114</creationdate><title>Quantum Potential and Symmetries in Extended Phase Space</title><author>Nasiri, Sadollah</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_quant_ph_05111253</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2005</creationdate><topic>Mathematics - Mathematical Physics</topic><topic>Physics - Mathematical Physics</topic><topic>Physics - Quantum Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Nasiri, Sadollah</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Nasiri, Sadollah</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Quantum Potential and Symmetries in Extended Phase Space</atitle><date>2005-11-14</date><risdate>2005</risdate><abstract>SIGMA 2 (2006), 062, 12 pages The behavior of the quantum potential is studied for a particle in a linear
and a harmonic potential by means of an extended phase space technique. This is
done by obtaining an expression for the quantum potential in momentum space
representation followed by the generalization of this concept to extended phase
space. It is shown that there exists an extended canonical transformation that
removes the expression for the quantum potential in the dynamical equation. The
situation, mathematically, is similar to disappearance of the centrifugal
potential in going from the spherical to the Cartesian coordinates that changes
the physical potential to an effective one. The representation where the
quantum potential disappears and the modified Hamilton-Jacobi equation reduces
to the familiar classical form, is one in which the dynamical equation turns
out to be the Wigner equation.</abstract><doi>10.48550/arxiv.quant-ph/0511125</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | DOI: 10.48550/arxiv.quant-ph/0511125 |
| ispartof | |
| issn | |
| language | eng |
| recordid | cdi_arxiv_primary_quant_ph_0511125 |
| source | arXiv.org |
| subjects | Mathematics - Mathematical Physics Physics - Mathematical Physics Physics - Quantum Physics |
| title | Quantum Potential and Symmetries in Extended Phase Space |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-05T15%3A02%3A59IST&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=Quantum%20Potential%20and%20Symmetries%20in%20Extended%20Phase%20Space&rft.au=Nasiri,%20Sadollah&rft.date=2005-11-14&rft_id=info:doi/10.48550/arxiv.quant-ph/0511125&rft_dat=%3Carxiv_GOX%3Equant_ph_0511125%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 |