Semiclassical dynamics of electron wave packet states with phase vortices
We consider semiclassical higher-order wave packet solutions of the Schrödinger equation with phase vortices. The vortex line is aligned with the propagation direction, and the wave packet carries a well-defined orbital angular momentum (OAM) variant Planck's over 2pil (l is the vortex strength...
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| Veröffentlicht in: | Physical review letters 2007-11, Vol.99 (19), p.190404-190404, Article 190404 |
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| container_title | Physical review letters |
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| creator | Bliokh, Konstantin Yu Bliokh, Yury P Savel'ev, Sergey Nori, Franco |
| description | We consider semiclassical higher-order wave packet solutions of the Schrödinger equation with phase vortices. The vortex line is aligned with the propagation direction, and the wave packet carries a well-defined orbital angular momentum (OAM) variant Planck's over 2pil (l is the vortex strength) along its main linear momentum. The probability current coils around the momentum in such OAM states of electrons. In an electric field, these states evolve like massless particles with spin l. The magnetic-monopole Berry curvature appears in momentum space, which results in a spin-orbit-type interaction and a Berry/Magnus transverse force acting on the wave packet. This brings about the OAM Hall effect. In a magnetic field, there is a Zeeman interaction, which, can lead to more complicated dynamics. |
| doi_str_mv | 10.1103/PhysRevLett.99.190404 |
| format | Article |
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In a magnetic field, there is a Zeeman interaction, which, can lead to more complicated dynamics.</description><identifier>ISSN: 0031-9007</identifier><identifier>EISSN: 1079-7114</identifier><identifier>DOI: 10.1103/PhysRevLett.99.190404</identifier><identifier>PMID: 18233051</identifier><language>eng</language><publisher>United States</publisher><subject>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ; ELECTRIC FIELDS ; ELECTRONS ; HALL EFFECT ; LINEAR MOMENTUM ; MAGNETIC FIELDS ; MAGNETIC MONOPOLES ; MASSLESS PARTICLES ; MATHEMATICAL SOLUTIONS ; ORBITAL ANGULAR MOMENTUM ; PROBABILITY ; SCHROEDINGER EQUATION ; SEMICLASSICAL APPROXIMATION ; WAVE PACKETS ; ZEEMAN EFFECT</subject><ispartof>Physical review letters, 2007-11, Vol.99 (19), p.190404-190404, Article 190404</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c387t-ec573f7d3438e1a7141e865160a29d231b05bc12b8af6ea481225cf3121e34653</citedby><cites>FETCH-LOGICAL-c387t-ec573f7d3438e1a7141e865160a29d231b05bc12b8af6ea481225cf3121e34653</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,315,781,785,886,2877,2878,27929,27930</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/18233051$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink><backlink>$$Uhttps://www.osti.gov/biblio/21024399$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Bliokh, Konstantin Yu</creatorcontrib><creatorcontrib>Bliokh, Yury P</creatorcontrib><creatorcontrib>Savel'ev, Sergey</creatorcontrib><creatorcontrib>Nori, Franco</creatorcontrib><title>Semiclassical dynamics of electron wave packet states with phase vortices</title><title>Physical review letters</title><addtitle>Phys Rev Lett</addtitle><description>We consider semiclassical higher-order wave packet solutions of the Schrödinger equation with phase vortices. The vortex line is aligned with the propagation direction, and the wave packet carries a well-defined orbital angular momentum (OAM) variant Planck's over 2pil (l is the vortex strength) along its main linear momentum. The probability current coils around the momentum in such OAM states of electrons. In an electric field, these states evolve like massless particles with spin l. The magnetic-monopole Berry curvature appears in momentum space, which results in a spin-orbit-type interaction and a Berry/Magnus transverse force acting on the wave packet. This brings about the OAM Hall effect. In a magnetic field, there is a Zeeman interaction, which, can lead to more complicated dynamics.</description><subject>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</subject><subject>ELECTRIC FIELDS</subject><subject>ELECTRONS</subject><subject>HALL EFFECT</subject><subject>LINEAR MOMENTUM</subject><subject>MAGNETIC FIELDS</subject><subject>MAGNETIC MONOPOLES</subject><subject>MASSLESS PARTICLES</subject><subject>MATHEMATICAL SOLUTIONS</subject><subject>ORBITAL ANGULAR MOMENTUM</subject><subject>PROBABILITY</subject><subject>SCHROEDINGER EQUATION</subject><subject>SEMICLASSICAL APPROXIMATION</subject><subject>WAVE PACKETS</subject><subject>ZEEMAN EFFECT</subject><issn>0031-9007</issn><issn>1079-7114</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2007</creationdate><recordtype>article</recordtype><recordid>eNpNkGFr2zAQhkXZaLJuP6FFMNg3p3eSbFkfS2i3QGBlbT8LWTkTt46d-pSE_Pt6JLB9Og6e973jEeIaYYYI-vZxfeQ_tF9SSjPnZujAgLkQUwTrMotoPokpgMbMAdiJ-ML8CgCoivJSTLBUWkOOU7F4ok0T28DcxNDK1bEL486yryW1FNPQd_IQ9iS3Ib5RkpxCIpaHJq3ldh2Y5L4fUhOJv4rPdWiZvp3nlXh5uH-e_8qWv38u5nfLLOrSpoxibnVtV9rokjBYNEhlkWMBQbmV0lhBXkVUVRnqgoIpUak81hoVkjZFrq_E91Nvz6nxHJtEcR37rhu_9QpBGe3cSP04Uduhf98RJ79pOFLbho76HXs7WlHK2BHMT2AceuaBar8dmk0Yjh7B_zXt_zPtnfMn02Pu5nxgV21o9S91Vqs_AGk3fAE</recordid><startdate>20071109</startdate><enddate>20071109</enddate><creator>Bliokh, Konstantin Yu</creator><creator>Bliokh, Yury P</creator><creator>Savel'ev, Sergey</creator><creator>Nori, Franco</creator><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope><scope>OTOTI</scope></search><sort><creationdate>20071109</creationdate><title>Semiclassical dynamics of electron wave packet states with phase vortices</title><author>Bliokh, Konstantin Yu ; Bliokh, Yury P ; Savel'ev, Sergey ; Nori, Franco</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c387t-ec573f7d3438e1a7141e865160a29d231b05bc12b8af6ea481225cf3121e34653</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2007</creationdate><topic>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</topic><topic>ELECTRIC FIELDS</topic><topic>ELECTRONS</topic><topic>HALL EFFECT</topic><topic>LINEAR MOMENTUM</topic><topic>MAGNETIC FIELDS</topic><topic>MAGNETIC MONOPOLES</topic><topic>MASSLESS PARTICLES</topic><topic>MATHEMATICAL SOLUTIONS</topic><topic>ORBITAL ANGULAR MOMENTUM</topic><topic>PROBABILITY</topic><topic>SCHROEDINGER EQUATION</topic><topic>SEMICLASSICAL APPROXIMATION</topic><topic>WAVE PACKETS</topic><topic>ZEEMAN EFFECT</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bliokh, Konstantin Yu</creatorcontrib><creatorcontrib>Bliokh, Yury P</creatorcontrib><creatorcontrib>Savel'ev, Sergey</creatorcontrib><creatorcontrib>Nori, Franco</creatorcontrib><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><collection>OSTI.GOV</collection><jtitle>Physical review letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bliokh, Konstantin Yu</au><au>Bliokh, Yury P</au><au>Savel'ev, Sergey</au><au>Nori, Franco</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Semiclassical dynamics of electron wave packet states with phase vortices</atitle><jtitle>Physical review letters</jtitle><addtitle>Phys Rev Lett</addtitle><date>2007-11-09</date><risdate>2007</risdate><volume>99</volume><issue>19</issue><spage>190404</spage><epage>190404</epage><pages>190404-190404</pages><artnum>190404</artnum><issn>0031-9007</issn><eissn>1079-7114</eissn><abstract>We consider semiclassical higher-order wave packet solutions of the Schrödinger equation with phase vortices. 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| source | American Physical Society Journals |
| subjects | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ELECTRIC FIELDS ELECTRONS HALL EFFECT LINEAR MOMENTUM MAGNETIC FIELDS MAGNETIC MONOPOLES MASSLESS PARTICLES MATHEMATICAL SOLUTIONS ORBITAL ANGULAR MOMENTUM PROBABILITY SCHROEDINGER EQUATION SEMICLASSICAL APPROXIMATION WAVE PACKETS ZEEMAN EFFECT |
| title | Semiclassical dynamics of electron wave packet states with phase vortices |
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