Solutions of relativistic wave equations in superpositions of Aharonov–Bohm, magnetic, and electric fields
We present new exact solutions (in 3+1 and 2+1 dimensions) of relativistic wave equations (Klein–Gordon and Dirac) in external electromagnetic fields of special form. These fields are combinations of Aharonov–Bohm solenoid field and some additional electric and magnetic fields. In particular, as suc...
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| Veröffentlicht in: | Journal of mathematical physics 2001-05, Vol.42 (5), p.1933-1959 |
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| Format: | Artikel |
| Sprache: | eng |
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| container_end_page | 1959 |
|---|---|
| container_issue | 5 |
| container_start_page | 1933 |
| container_title | Journal of mathematical physics |
| container_volume | 42 |
| creator | Bagrov, V. G. Gitman, D. M. Tlyachev, V. B. |
| description | We present new exact solutions (in
3+1
and
2+1
dimensions) of relativistic wave equations (Klein–Gordon and Dirac) in external electromagnetic fields of special form. These fields are combinations of Aharonov–Bohm solenoid field and some additional electric and magnetic fields. In particular, as such additional fields, we consider longitudinal electric and magnetic fields, some crossed fields, and some special nonuniform fields. The solutions obtained can be useful to study the Aharonov–Bohm effect in the corresponding electromagnetic fields. |
| doi_str_mv | 10.1063/1.1353182 |
| format | Article |
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3+1
and
2+1
dimensions) of relativistic wave equations (Klein–Gordon and Dirac) in external electromagnetic fields of special form. These fields are combinations of Aharonov–Bohm solenoid field and some additional electric and magnetic fields. In particular, as such additional fields, we consider longitudinal electric and magnetic fields, some crossed fields, and some special nonuniform fields. The solutions obtained can be useful to study the Aharonov–Bohm effect in the corresponding electromagnetic fields.</description><identifier>ISSN: 0022-2488</identifier><identifier>EISSN: 1089-7658</identifier><identifier>DOI: 10.1063/1.1353182</identifier><identifier>CODEN: JMAPAQ</identifier><language>eng</language><ispartof>Journal of mathematical physics, 2001-05, Vol.42 (5), p.1933-1959</ispartof><rights>American Institute of Physics</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c332t-daa56fcbec0968aa9cd2313878b0436315ce551e08226b5e455661c2cf8032d53</citedby><cites>FETCH-LOGICAL-c332t-daa56fcbec0968aa9cd2313878b0436315ce551e08226b5e455661c2cf8032d53</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/10.1063/1.1353182$$EHTML$$P50$$Gscitation$$H</linktohtml><link.rule.ids>314,776,780,790,1553,4498,27901,27902,76126,76132</link.rule.ids></links><search><creatorcontrib>Bagrov, V. G.</creatorcontrib><creatorcontrib>Gitman, D. M.</creatorcontrib><creatorcontrib>Tlyachev, V. B.</creatorcontrib><title>Solutions of relativistic wave equations in superpositions of Aharonov–Bohm, magnetic, and electric fields</title><title>Journal of mathematical physics</title><description>We present new exact solutions (in
3+1
and
2+1
dimensions) of relativistic wave equations (Klein–Gordon and Dirac) in external electromagnetic fields of special form. These fields are combinations of Aharonov–Bohm solenoid field and some additional electric and magnetic fields. In particular, as such additional fields, we consider longitudinal electric and magnetic fields, some crossed fields, and some special nonuniform fields. The solutions obtained can be useful to study the Aharonov–Bohm effect in the corresponding electromagnetic fields.</description><issn>0022-2488</issn><issn>1089-7658</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2001</creationdate><recordtype>article</recordtype><recordid>eNqdkL9OwzAYxC0EEqUw8AZeQU3xZ8euO5aq_JEqMQBz5DqfqVEaBzsNYuMdeEOehEIr2JluuN-ddEfIKbAhMCUuYAhCCtB8j_SA6XE2UlLvkx5jnGc81_qQHKX0zBiAzvMeqe5DtW59qBMNjkasTOs7n1pv6avpkOLL2mxtX9O0bjA2IfnfwGRpYqhD9_n-cRmWqwFdmacaN-kBNXVJsULbxk2X81iV6ZgcOFMlPNlpnzxezR6mN9n87vp2OplnVgjeZqUxUjm7QMvGShsztiUXIPRIL1gulABpUUpApjlXC4m5lEqB5dZpJngpRZ-cbXttDClFdEUT_crEtwJY8X1TAcXupg17vmWT9e3P1P_BXYh_YNGUTnwBi2J4sg</recordid><startdate>200105</startdate><enddate>200105</enddate><creator>Bagrov, V. G.</creator><creator>Gitman, D. M.</creator><creator>Tlyachev, V. B.</creator><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>200105</creationdate><title>Solutions of relativistic wave equations in superpositions of Aharonov–Bohm, magnetic, and electric fields</title><author>Bagrov, V. G. ; Gitman, D. M. ; Tlyachev, V. B.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c332t-daa56fcbec0968aa9cd2313878b0436315ce551e08226b5e455661c2cf8032d53</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2001</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bagrov, V. G.</creatorcontrib><creatorcontrib>Gitman, D. M.</creatorcontrib><creatorcontrib>Tlyachev, V. B.</creatorcontrib><collection>CrossRef</collection><jtitle>Journal of mathematical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bagrov, V. G.</au><au>Gitman, D. M.</au><au>Tlyachev, V. B.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Solutions of relativistic wave equations in superpositions of Aharonov–Bohm, magnetic, and electric fields</atitle><jtitle>Journal of mathematical physics</jtitle><date>2001-05</date><risdate>2001</risdate><volume>42</volume><issue>5</issue><spage>1933</spage><epage>1959</epage><pages>1933-1959</pages><issn>0022-2488</issn><eissn>1089-7658</eissn><coden>JMAPAQ</coden><abstract>We present new exact solutions (in
3+1
and
2+1
dimensions) of relativistic wave equations (Klein–Gordon and Dirac) in external electromagnetic fields of special form. These fields are combinations of Aharonov–Bohm solenoid field and some additional electric and magnetic fields. In particular, as such additional fields, we consider longitudinal electric and magnetic fields, some crossed fields, and some special nonuniform fields. The solutions obtained can be useful to study the Aharonov–Bohm effect in the corresponding electromagnetic fields.</abstract><doi>10.1063/1.1353182</doi><tpages>27</tpages><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0022-2488 |
| ispartof | Journal of mathematical physics, 2001-05, Vol.42 (5), p.1933-1959 |
| issn | 0022-2488 1089-7658 |
| language | eng |
| recordid | cdi_crossref_primary_10_1063_1_1353182 |
| source | AIP Journals Complete; AIP Digital Archive |
| title | Solutions of relativistic wave equations in superpositions of Aharonov–Bohm, magnetic, and electric fields |
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