Invariant exchange perturbation theory for multicenter systems: Time-dependent perturbations
A formalism of exchange perturbation theory (EPT) is developed for the case of interactions that explicitly depend on time. Corrections to the wave function obtained in any order of perturbation theory and represented in an invariant form include exchange contributions due to intercenter electron pe...
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| Veröffentlicht in: | Journal of experimental and theoretical physics 2015-02, Vol.120 (2), p.296-311 |
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| container_title | Journal of experimental and theoretical physics |
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| creator | Orlenko, E. V. Evstafev, A. V. Orlenko, F. E. |
| description | A formalism of exchange perturbation theory (EPT) is developed for the case of interactions that explicitly depend on time. Corrections to the wave function obtained in any order of perturbation theory and represented in an invariant form include exchange contributions due to intercenter electron permutations in complex multicenter systems. For collisions of atomic systems with an arbitrary type of interaction, general expressions are obtained for the transfer (
T
) and scattering (
S
) matrices in which intercenter electron permutations between overlapping nonorthogonal states belonging to different centers (atoms) are consistently taken into account. The problem of collision of alpha particles with lithium atoms accompanied by the redistribution of electrons between centers is considered. The differential and total charge-exchange cross sections of lithium are calculated. |
| doi_str_mv | 10.1134/S106377611502017X |
| format | Article |
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T
) and scattering (
S
) matrices in which intercenter electron permutations between overlapping nonorthogonal states belonging to different centers (atoms) are consistently taken into account. The problem of collision of alpha particles with lithium atoms accompanied by the redistribution of electrons between centers is considered. The differential and total charge-exchange cross sections of lithium are calculated.</description><identifier>ISSN: 1063-7761</identifier><identifier>EISSN: 1090-6509</identifier><identifier>DOI: 10.1134/S106377611502017X</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>ALPHA PARTICLES ; Analysis ; ATOMIC AND MOLECULAR PHYSICS ; ATOMS ; CHARGE EXCHANGE ; Classical and Quantum Gravitation ; CORRECTIONS ; CROSS SECTIONS ; Disorder ; ELECTRONS ; Elementary Particles ; ION-ATOM COLLISIONS ; LITHIUM ; Order ; Particle and Nuclear Physics ; PERTURBATION THEORY ; Phase Transition in Condensed System ; Physics ; Physics and Astronomy ; Quantum Field Theory ; Relativity Theory ; S MATRIX ; SCATTERING ; Solid State Physics ; TIME DEPENDENCE ; WAVE FUNCTIONS</subject><ispartof>Journal of experimental and theoretical physics, 2015-02, Vol.120 (2), p.296-311</ispartof><rights>Pleiades Publishing, Inc. 2015</rights><rights>COPYRIGHT 2015 Springer</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c389t-b2a4744a8406577f7280d5215e2bf76c5ead42efbf163e2a654b99ee553b61773</citedby><cites>FETCH-LOGICAL-c389t-b2a4744a8406577f7280d5215e2bf76c5ead42efbf163e2a654b99ee553b61773</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S106377611502017X$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S106377611502017X$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>230,314,776,780,881,27901,27902,41464,42533,51294</link.rule.ids><backlink>$$Uhttps://www.osti.gov/biblio/22472387$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Orlenko, E. V.</creatorcontrib><creatorcontrib>Evstafev, A. V.</creatorcontrib><creatorcontrib>Orlenko, F. E.</creatorcontrib><title>Invariant exchange perturbation theory for multicenter systems: Time-dependent perturbations</title><title>Journal of experimental and theoretical physics</title><addtitle>J. Exp. Theor. Phys</addtitle><description>A formalism of exchange perturbation theory (EPT) is developed for the case of interactions that explicitly depend on time. Corrections to the wave function obtained in any order of perturbation theory and represented in an invariant form include exchange contributions due to intercenter electron permutations in complex multicenter systems. For collisions of atomic systems with an arbitrary type of interaction, general expressions are obtained for the transfer (
T
) and scattering (
S
) matrices in which intercenter electron permutations between overlapping nonorthogonal states belonging to different centers (atoms) are consistently taken into account. The problem of collision of alpha particles with lithium atoms accompanied by the redistribution of electrons between centers is considered. The differential and total charge-exchange cross sections of lithium are calculated.</description><subject>ALPHA PARTICLES</subject><subject>Analysis</subject><subject>ATOMIC AND MOLECULAR PHYSICS</subject><subject>ATOMS</subject><subject>CHARGE EXCHANGE</subject><subject>Classical and Quantum Gravitation</subject><subject>CORRECTIONS</subject><subject>CROSS SECTIONS</subject><subject>Disorder</subject><subject>ELECTRONS</subject><subject>Elementary Particles</subject><subject>ION-ATOM COLLISIONS</subject><subject>LITHIUM</subject><subject>Order</subject><subject>Particle and Nuclear Physics</subject><subject>PERTURBATION THEORY</subject><subject>Phase Transition in Condensed System</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Field Theory</subject><subject>Relativity Theory</subject><subject>S MATRIX</subject><subject>SCATTERING</subject><subject>Solid State Physics</subject><subject>TIME DEPENDENCE</subject><subject>WAVE FUNCTIONS</subject><issn>1063-7761</issn><issn>1090-6509</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><recordid>eNp9kUtLxDAQgIso-PwB3gqePHRN0jxabyI-FgTBXcGDENJ0sptlmy5JKu6_N2W9LILMYYaZ75vDTJZdYjTBuKQ3M4x4KQTHmCGCsPg4yE4wqlHBGaoPx5qXxTg_zk5DWCGEKoLqk-xz6r6Ut8rFHL71UrkF5BvwcfCNirZ3eVxC77e56X3eDetoNbgIPg_bEKELt_ncdlC0sAHXpsmeG86zI6PWAS5-81n2_vgwv38uXl6fpvd3L4UuqzoWDVFUUKoqijgTwghSoZYRzIA0RnDNQLWUgGkM5iUQxRlt6hqAsbLhWIjyLLva7e1DtDJoG0Evde8c6CgJoYKU1UhNdtRCrUFaZ_rolU7RQmcTDcam_h1lFaeY8zoJ13tCYiJ8x4UaQpDT2ds-i3es9n0IHozceNspv5UYyfFD8s-HkkN2TkhsOryXq37wLl3qH-kHP-SS7Q</recordid><startdate>20150201</startdate><enddate>20150201</enddate><creator>Orlenko, E. V.</creator><creator>Evstafev, A. V.</creator><creator>Orlenko, F. E.</creator><general>Pleiades Publishing</general><general>Springer</general><scope>AAYXX</scope><scope>CITATION</scope><scope>ISR</scope><scope>OTOTI</scope></search><sort><creationdate>20150201</creationdate><title>Invariant exchange perturbation theory for multicenter systems: Time-dependent perturbations</title><author>Orlenko, E. V. ; Evstafev, A. V. ; Orlenko, F. E.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c389t-b2a4744a8406577f7280d5215e2bf76c5ead42efbf163e2a654b99ee553b61773</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>ALPHA PARTICLES</topic><topic>Analysis</topic><topic>ATOMIC AND MOLECULAR PHYSICS</topic><topic>ATOMS</topic><topic>CHARGE EXCHANGE</topic><topic>Classical and Quantum Gravitation</topic><topic>CORRECTIONS</topic><topic>CROSS SECTIONS</topic><topic>Disorder</topic><topic>ELECTRONS</topic><topic>Elementary Particles</topic><topic>ION-ATOM COLLISIONS</topic><topic>LITHIUM</topic><topic>Order</topic><topic>Particle and Nuclear Physics</topic><topic>PERTURBATION THEORY</topic><topic>Phase Transition in Condensed System</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Field Theory</topic><topic>Relativity Theory</topic><topic>S MATRIX</topic><topic>SCATTERING</topic><topic>Solid State Physics</topic><topic>TIME DEPENDENCE</topic><topic>WAVE FUNCTIONS</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Orlenko, E. V.</creatorcontrib><creatorcontrib>Evstafev, A. V.</creatorcontrib><creatorcontrib>Orlenko, F. E.</creatorcontrib><collection>CrossRef</collection><collection>Gale In Context: Science</collection><collection>OSTI.GOV</collection><jtitle>Journal of experimental and theoretical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Orlenko, E. V.</au><au>Evstafev, A. V.</au><au>Orlenko, F. E.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Invariant exchange perturbation theory for multicenter systems: Time-dependent perturbations</atitle><jtitle>Journal of experimental and theoretical physics</jtitle><stitle>J. Exp. Theor. Phys</stitle><date>2015-02-01</date><risdate>2015</risdate><volume>120</volume><issue>2</issue><spage>296</spage><epage>311</epage><pages>296-311</pages><issn>1063-7761</issn><eissn>1090-6509</eissn><abstract>A formalism of exchange perturbation theory (EPT) is developed for the case of interactions that explicitly depend on time. Corrections to the wave function obtained in any order of perturbation theory and represented in an invariant form include exchange contributions due to intercenter electron permutations in complex multicenter systems. For collisions of atomic systems with an arbitrary type of interaction, general expressions are obtained for the transfer (
T
) and scattering (
S
) matrices in which intercenter electron permutations between overlapping nonorthogonal states belonging to different centers (atoms) are consistently taken into account. The problem of collision of alpha particles with lithium atoms accompanied by the redistribution of electrons between centers is considered. The differential and total charge-exchange cross sections of lithium are calculated.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S106377611502017X</doi><tpages>16</tpages></addata></record> |
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| subjects | ALPHA PARTICLES Analysis ATOMIC AND MOLECULAR PHYSICS ATOMS CHARGE EXCHANGE Classical and Quantum Gravitation CORRECTIONS CROSS SECTIONS Disorder ELECTRONS Elementary Particles ION-ATOM COLLISIONS LITHIUM Order Particle and Nuclear Physics PERTURBATION THEORY Phase Transition in Condensed System Physics Physics and Astronomy Quantum Field Theory Relativity Theory S MATRIX SCATTERING Solid State Physics TIME DEPENDENCE WAVE FUNCTIONS |
| title | Invariant exchange perturbation theory for multicenter systems: Time-dependent perturbations |
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