Time-dependent Pauli equation in the presence of the Aharonov–Bohm effect
We use the Lewis–Riesenfeld theory to determine the exact form of the wavefunctions of a two-dimensional Pauli equation of a charged spin 1 ∕ 2 particle with time-dependent mass and frequency in the presence of the Aharonov–Bohm effect and a two-dimensional time-dependent harmonic oscillator. We fin...
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| Veröffentlicht in: | Journal of mathematical physics 2008-04, Vol.49 (4), p.042107-042107-12 |
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| container_end_page | 042107-12 |
|---|---|
| container_issue | 4 |
| container_start_page | 042107 |
| container_title | Journal of mathematical physics |
| container_volume | 49 |
| creator | Bouguerra, Y. Bounames, A. Maamache, M. Saadi, Y. |
| description | We use the Lewis–Riesenfeld theory to determine the exact form of the wavefunctions of a two-dimensional Pauli equation of a charged spin
1
∕
2
particle with time-dependent mass and frequency in the presence of the Aharonov–Bohm effect and a two-dimensional time-dependent harmonic oscillator. We find that the irregular solution at the origin as well as the regular one contributes to the phase of the wavefunction. |
| doi_str_mv | 10.1063/1.2903752 |
| format | Article |
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1
∕
2
particle with time-dependent mass and frequency in the presence of the Aharonov–Bohm effect and a two-dimensional time-dependent harmonic oscillator. We find that the irregular solution at the origin as well as the regular one contributes to the phase of the wavefunction.</description><identifier>ISSN: 0022-2488</identifier><identifier>EISSN: 1089-7658</identifier><identifier>DOI: 10.1063/1.2903752</identifier><identifier>CODEN: JMAPAQ</identifier><language>eng</language><publisher>Melville, NY: American Institute of Physics</publisher><subject>AHARONOV-BOHM EFFECT ; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ; EQUATIONS ; Exact sciences and technology ; HARMONIC OSCILLATORS ; MASS ; Mathematical methods in physics ; Mathematical problems ; MATHEMATICAL SOLUTIONS ; Mathematics ; Physics ; Sciences and techniques of general use ; SPIN ; Theorems ; Theory ; TIME DEPENDENCE ; TWO-DIMENSIONAL CALCULATIONS ; WAVE FUNCTIONS</subject><ispartof>Journal of mathematical physics, 2008-04, Vol.49 (4), p.042107-042107-12</ispartof><rights>American Institute of Physics</rights><rights>2008 American Institute of Physics</rights><rights>2008 INIST-CNRS</rights><rights>Copyright American Institute of Physics Apr 2008</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c474t-f426dd718d6a3f1dd27391b8baf276c685e9d640259c50e7677f70911d550ade3</citedby><cites>FETCH-LOGICAL-c474t-f426dd718d6a3f1dd27391b8baf276c685e9d640259c50e7677f70911d550ade3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://pubs.aip.org/jmp/article-lookup/doi/10.1063/1.2903752$$EHTML$$P50$$Gscitation$$H</linktohtml><link.rule.ids>230,314,776,780,790,881,1553,4498,27901,27902,76126,76132</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=20338077$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://www.osti.gov/biblio/21100254$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Bouguerra, Y.</creatorcontrib><creatorcontrib>Bounames, A.</creatorcontrib><creatorcontrib>Maamache, M.</creatorcontrib><creatorcontrib>Saadi, Y.</creatorcontrib><title>Time-dependent Pauli equation in the presence of the Aharonov–Bohm effect</title><title>Journal of mathematical physics</title><description>We use the Lewis–Riesenfeld theory to determine the exact form of the wavefunctions of a two-dimensional Pauli equation of a charged spin
1
∕
2
particle with time-dependent mass and frequency in the presence of the Aharonov–Bohm effect and a two-dimensional time-dependent harmonic oscillator. We find that the irregular solution at the origin as well as the regular one contributes to the phase of the wavefunction.</description><subject>AHARONOV-BOHM EFFECT</subject><subject>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</subject><subject>EQUATIONS</subject><subject>Exact sciences and technology</subject><subject>HARMONIC OSCILLATORS</subject><subject>MASS</subject><subject>Mathematical methods in physics</subject><subject>Mathematical problems</subject><subject>MATHEMATICAL SOLUTIONS</subject><subject>Mathematics</subject><subject>Physics</subject><subject>Sciences and techniques of general use</subject><subject>SPIN</subject><subject>Theorems</subject><subject>Theory</subject><subject>TIME DEPENDENCE</subject><subject>TWO-DIMENSIONAL CALCULATIONS</subject><subject>WAVE FUNCTIONS</subject><issn>0022-2488</issn><issn>1089-7658</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2008</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LXDEUhkNR6FS76D-4KF1YuJrk5utuBB2qFQW7sOuQSU6YO8wk1-TOgDv_g_-wv6SZD3RRdHU48JyX9zwIfSP4lGDRnJFT2uJGcvoJjQhWbS0FV3tohDGlNWVKfUZfcp5hTIhibIRuH7oF1A56CA7CUP02y3lXwePSDF0MVReqYQpVnyBDsFBFv9kvpibFEFd_n18u43RRgfdgh0O07808w9fdPEB_rn4-jH_Vd_fXN-OLu9oyyYbaMyqck0Q5YRpPnKOyaclETYynUlihOLROMEx5azkGKaT0EreEOM6xcdAcoONtbsxDp7PtBrBTG0MoHTQlpPzKWaGOtlSf4uMS8qBncZlCKVYYLojiTBXoZAvZFHNO4HWfuoVJT5pgvRaqid4JLez3XaDJ1sx9MsF2-fWA4qZRWMrCnW-5dbONxvdD1_b1q329sV8CfrwXsIrp7Vj3zn8E___CP1iKpR0</recordid><startdate>20080401</startdate><enddate>20080401</enddate><creator>Bouguerra, Y.</creator><creator>Bounames, A.</creator><creator>Maamache, M.</creator><creator>Saadi, Y.</creator><general>American Institute of Physics</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>JQ2</scope><scope>L7M</scope><scope>OTOTI</scope></search><sort><creationdate>20080401</creationdate><title>Time-dependent Pauli equation in the presence of the Aharonov–Bohm effect</title><author>Bouguerra, Y. ; Bounames, A. ; Maamache, M. ; Saadi, Y.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c474t-f426dd718d6a3f1dd27391b8baf276c685e9d640259c50e7677f70911d550ade3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2008</creationdate><topic>AHARONOV-BOHM EFFECT</topic><topic>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</topic><topic>EQUATIONS</topic><topic>Exact sciences and technology</topic><topic>HARMONIC OSCILLATORS</topic><topic>MASS</topic><topic>Mathematical methods in physics</topic><topic>Mathematical problems</topic><topic>MATHEMATICAL SOLUTIONS</topic><topic>Mathematics</topic><topic>Physics</topic><topic>Sciences and techniques of general use</topic><topic>SPIN</topic><topic>Theorems</topic><topic>Theory</topic><topic>TIME DEPENDENCE</topic><topic>TWO-DIMENSIONAL CALCULATIONS</topic><topic>WAVE FUNCTIONS</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bouguerra, Y.</creatorcontrib><creatorcontrib>Bounames, A.</creatorcontrib><creatorcontrib>Maamache, M.</creatorcontrib><creatorcontrib>Saadi, Y.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>OSTI.GOV</collection><jtitle>Journal of mathematical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bouguerra, Y.</au><au>Bounames, A.</au><au>Maamache, M.</au><au>Saadi, Y.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Time-dependent Pauli equation in the presence of the Aharonov–Bohm effect</atitle><jtitle>Journal of mathematical physics</jtitle><date>2008-04-01</date><risdate>2008</risdate><volume>49</volume><issue>4</issue><spage>042107</spage><epage>042107-12</epage><pages>042107-042107-12</pages><issn>0022-2488</issn><eissn>1089-7658</eissn><coden>JMAPAQ</coden><abstract>We use the Lewis–Riesenfeld theory to determine the exact form of the wavefunctions of a two-dimensional Pauli equation of a charged spin
1
∕
2
particle with time-dependent mass and frequency in the presence of the Aharonov–Bohm effect and a two-dimensional time-dependent harmonic oscillator. We find that the irregular solution at the origin as well as the regular one contributes to the phase of the wavefunction.</abstract><cop>Melville, NY</cop><pub>American Institute of Physics</pub><doi>10.1063/1.2903752</doi><tpages>12</tpages><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0022-2488 |
| ispartof | Journal of mathematical physics, 2008-04, Vol.49 (4), p.042107-042107-12 |
| issn | 0022-2488 1089-7658 |
| language | eng |
| recordid | cdi_osti_scitechconnect_21100254 |
| source | AIP Journals Complete; AIP Digital Archive |
| subjects | AHARONOV-BOHM EFFECT CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS EQUATIONS Exact sciences and technology HARMONIC OSCILLATORS MASS Mathematical methods in physics Mathematical problems MATHEMATICAL SOLUTIONS Mathematics Physics Sciences and techniques of general use SPIN Theorems Theory TIME DEPENDENCE TWO-DIMENSIONAL CALCULATIONS WAVE FUNCTIONS |
| title | Time-dependent Pauli equation in the presence of the Aharonov–Bohm effect |
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