Dynamics of the free time-dependent effective mass
The consensus is that an object with a large mass will not manifest quantum behavior. Therefore, we expect that the quantumness of a time-dependent effective mass (TDEM) will erase after a long time when the mass profile continuously grows with time. However, the present article depicts that the Wig...
Gespeichert in:
| Veröffentlicht in: | European physical journal plus 2022-09, Vol.137 (9), p.1021, Article 1021 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | 9 |
| container_start_page | 1021 |
| container_title | European physical journal plus |
| container_volume | 137 |
| creator | Patra, Pinaki Chowdhury, Aditi Jana, Milan |
| description | The consensus is that an object with a large mass will not manifest quantum behavior. Therefore, we expect that the quantumness of a time-dependent effective mass (TDEM) will erase after a long time when the mass profile continuously grows with time. However, the present article depicts that the Wigner quasi-probability distribution (WQD) will manifest an entanglement behavior forever for two spatially separated free TDEMs. The time-dependent Schrödinger equation for a free particle with TDEM has been solved with the help of the Lewis–Riesenfeld phase-space invariant method. WQD for the system of two identical TDEMs with quadratically increasing mass profiles shows that the particles are never separated. In particular, their reminiscent is present at the origin of the phase-space forever. |
| doi_str_mv | 10.1140/epjp/s13360-022-03248-8 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2920237795</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2920237795</sourcerecordid><originalsourceid>FETCH-LOGICAL-c334t-bdd631142005174ce043699d3a069225b5ab99396f3d385ee3cdb344b133b76c3</originalsourceid><addsrcrecordid>eNqFkMtOAzEMRSMEElXpNzAS69Ak9jyyROUpIbGBdTSTODAV8yCZIvXvSRkk2OGNvbj32j6MnUtxKSWKNY3bcR0lQCG4UIoLUFjx6ogtlNSC54h4_Gc-ZasYtyIVaokaF0xd7_u6a23MBp9Nb5T5QJRNbUfc0Ui9o37KyHuyU_tJWVfHeMZOfP0eafXTl-zl9uZ5c88fn-4eNleP3ALgxBvnCkhHKiFyWaIlgVBo7aAWhVYqb_K60Rp04cFBlROBdQ0gNumbpiwsLNnFnDuG4WNHcTLbYRf6tNIorYSCstR5UpWzyoYhxkDejKHt6rA3UpgDI3NgZGZGJjEy34xMlZzV7IzJ0b9S-M3_z_oF3MlrQw</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2920237795</pqid></control><display><type>article</type><title>Dynamics of the free time-dependent effective mass</title><source>ProQuest Central UK/Ireland</source><source>SpringerLink Journals - AutoHoldings</source><source>ProQuest Central</source><creator>Patra, Pinaki ; Chowdhury, Aditi ; Jana, Milan</creator><creatorcontrib>Patra, Pinaki ; Chowdhury, Aditi ; Jana, Milan</creatorcontrib><description>The consensus is that an object with a large mass will not manifest quantum behavior. Therefore, we expect that the quantumness of a time-dependent effective mass (TDEM) will erase after a long time when the mass profile continuously grows with time. However, the present article depicts that the Wigner quasi-probability distribution (WQD) will manifest an entanglement behavior forever for two spatially separated free TDEMs. The time-dependent Schrödinger equation for a free particle with TDEM has been solved with the help of the Lewis–Riesenfeld phase-space invariant method. WQD for the system of two identical TDEMs with quadratically increasing mass profiles shows that the particles are never separated. In particular, their reminiscent is present at the origin of the phase-space forever.</description><identifier>ISSN: 2190-5444</identifier><identifier>EISSN: 2190-5444</identifier><identifier>DOI: 10.1140/epjp/s13360-022-03248-8</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Applied and Technical Physics ; Atomic ; Complex Systems ; Condensed Matter Physics ; Eigenvalues ; Mathematical and Computational Physics ; Mathematical functions ; Molecular ; Optical and Plasma Physics ; Physics ; Physics and Astronomy ; Probability distribution ; Regular Article ; Schrodinger equation ; Theoretical ; Time dependence</subject><ispartof>European physical journal plus, 2022-09, Vol.137 (9), p.1021, Article 1021</ispartof><rights>The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c334t-bdd631142005174ce043699d3a069225b5ab99396f3d385ee3cdb344b133b76c3</citedby><cites>FETCH-LOGICAL-c334t-bdd631142005174ce043699d3a069225b5ab99396f3d385ee3cdb344b133b76c3</cites><orcidid>0000-0002-9736-0306</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1140/epjp/s13360-022-03248-8$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/2920237795?pq-origsite=primo$$EHTML$$P50$$Gproquest$$H</linktohtml><link.rule.ids>314,780,784,21388,27924,27925,33744,41488,42557,43805,51319,64385,64389,72341</link.rule.ids></links><search><creatorcontrib>Patra, Pinaki</creatorcontrib><creatorcontrib>Chowdhury, Aditi</creatorcontrib><creatorcontrib>Jana, Milan</creatorcontrib><title>Dynamics of the free time-dependent effective mass</title><title>European physical journal plus</title><addtitle>Eur. Phys. J. Plus</addtitle><description>The consensus is that an object with a large mass will not manifest quantum behavior. Therefore, we expect that the quantumness of a time-dependent effective mass (TDEM) will erase after a long time when the mass profile continuously grows with time. However, the present article depicts that the Wigner quasi-probability distribution (WQD) will manifest an entanglement behavior forever for two spatially separated free TDEMs. The time-dependent Schrödinger equation for a free particle with TDEM has been solved with the help of the Lewis–Riesenfeld phase-space invariant method. WQD for the system of two identical TDEMs with quadratically increasing mass profiles shows that the particles are never separated. In particular, their reminiscent is present at the origin of the phase-space forever.</description><subject>Applied and Technical Physics</subject><subject>Atomic</subject><subject>Complex Systems</subject><subject>Condensed Matter Physics</subject><subject>Eigenvalues</subject><subject>Mathematical and Computational Physics</subject><subject>Mathematical functions</subject><subject>Molecular</subject><subject>Optical and Plasma Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Probability distribution</subject><subject>Regular Article</subject><subject>Schrodinger equation</subject><subject>Theoretical</subject><subject>Time dependence</subject><issn>2190-5444</issn><issn>2190-5444</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><sourceid>AFKRA</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNqFkMtOAzEMRSMEElXpNzAS69Ak9jyyROUpIbGBdTSTODAV8yCZIvXvSRkk2OGNvbj32j6MnUtxKSWKNY3bcR0lQCG4UIoLUFjx6ogtlNSC54h4_Gc-ZasYtyIVaokaF0xd7_u6a23MBp9Nb5T5QJRNbUfc0Ui9o37KyHuyU_tJWVfHeMZOfP0eafXTl-zl9uZ5c88fn-4eNleP3ALgxBvnCkhHKiFyWaIlgVBo7aAWhVYqb_K60Rp04cFBlROBdQ0gNumbpiwsLNnFnDuG4WNHcTLbYRf6tNIorYSCstR5UpWzyoYhxkDejKHt6rA3UpgDI3NgZGZGJjEy34xMlZzV7IzJ0b9S-M3_z_oF3MlrQw</recordid><startdate>20220908</startdate><enddate>20220908</enddate><creator>Patra, Pinaki</creator><creator>Chowdhury, Aditi</creator><creator>Jana, Milan</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>AEUYN</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>BHPHI</scope><scope>BKSAR</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>P5Z</scope><scope>P62</scope><scope>PCBAR</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><orcidid>https://orcid.org/0000-0002-9736-0306</orcidid></search><sort><creationdate>20220908</creationdate><title>Dynamics of the free time-dependent effective mass</title><author>Patra, Pinaki ; Chowdhury, Aditi ; Jana, Milan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c334t-bdd631142005174ce043699d3a069225b5ab99396f3d385ee3cdb344b133b76c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Applied and Technical Physics</topic><topic>Atomic</topic><topic>Complex Systems</topic><topic>Condensed Matter Physics</topic><topic>Eigenvalues</topic><topic>Mathematical and Computational Physics</topic><topic>Mathematical functions</topic><topic>Molecular</topic><topic>Optical and Plasma Physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Probability distribution</topic><topic>Regular Article</topic><topic>Schrodinger equation</topic><topic>Theoretical</topic><topic>Time dependence</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Patra, Pinaki</creatorcontrib><creatorcontrib>Chowdhury, Aditi</creatorcontrib><creatorcontrib>Jana, Milan</creatorcontrib><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest One Sustainability</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>Natural Science Collection</collection><collection>Earth, Atmospheric & Aquatic Science Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Earth, Atmospheric & Aquatic Science Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><jtitle>European physical journal plus</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Patra, Pinaki</au><au>Chowdhury, Aditi</au><au>Jana, Milan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Dynamics of the free time-dependent effective mass</atitle><jtitle>European physical journal plus</jtitle><stitle>Eur. Phys. J. Plus</stitle><date>2022-09-08</date><risdate>2022</risdate><volume>137</volume><issue>9</issue><spage>1021</spage><pages>1021-</pages><artnum>1021</artnum><issn>2190-5444</issn><eissn>2190-5444</eissn><abstract>The consensus is that an object with a large mass will not manifest quantum behavior. Therefore, we expect that the quantumness of a time-dependent effective mass (TDEM) will erase after a long time when the mass profile continuously grows with time. However, the present article depicts that the Wigner quasi-probability distribution (WQD) will manifest an entanglement behavior forever for two spatially separated free TDEMs. The time-dependent Schrödinger equation for a free particle with TDEM has been solved with the help of the Lewis–Riesenfeld phase-space invariant method. WQD for the system of two identical TDEMs with quadratically increasing mass profiles shows that the particles are never separated. In particular, their reminiscent is present at the origin of the phase-space forever.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1140/epjp/s13360-022-03248-8</doi><orcidid>https://orcid.org/0000-0002-9736-0306</orcidid></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 2190-5444 |
| ispartof | European physical journal plus, 2022-09, Vol.137 (9), p.1021, Article 1021 |
| issn | 2190-5444 2190-5444 |
| language | eng |
| recordid | cdi_proquest_journals_2920237795 |
| source | ProQuest Central UK/Ireland; SpringerLink Journals - AutoHoldings; ProQuest Central |
| subjects | Applied and Technical Physics Atomic Complex Systems Condensed Matter Physics Eigenvalues Mathematical and Computational Physics Mathematical functions Molecular Optical and Plasma Physics Physics Physics and Astronomy Probability distribution Regular Article Schrodinger equation Theoretical Time dependence |
| title | Dynamics of the free time-dependent effective mass |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-07T23%3A44%3A09IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Dynamics%20of%20the%20free%20time-dependent%20effective%20mass&rft.jtitle=European%20physical%20journal%20plus&rft.au=Patra,%20Pinaki&rft.date=2022-09-08&rft.volume=137&rft.issue=9&rft.spage=1021&rft.pages=1021-&rft.artnum=1021&rft.issn=2190-5444&rft.eissn=2190-5444&rft_id=info:doi/10.1140/epjp/s13360-022-03248-8&rft_dat=%3Cproquest_cross%3E2920237795%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2920237795&rft_id=info:pmid/&rfr_iscdi=true |