A study of pseudoresonances in the application of the schwinger variational principle to electron scattering from atomic hydrogen
The Schwinger variational principle is applied to s-wave electron-hydrogen atom scattering. Computationally, consistent with a recent paper by Apagyi et al. (1988), there are pseudoresonances at the static exchange level of approximation, but not at the static level. The T-matrix as well as the K-ma...
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Veröffentlicht in: | International journal of quantum chemistry 1989-01, Vol.36 (S23), p.95-101 |
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description | The Schwinger variational principle is applied to s-wave electron-hydrogen atom scattering. Computationally, consistent with a recent paper by Apagyi et al. (1988), there are pseudoresonances at the static exchange level of approximation, but not at the static level. The T-matrix as well as the K-matrix version of the Schwinger principle is used with a real Slater basis, and the same results are obtained in both. The origin of the pseudoresonances from singularities in the separable potential that is effectively employed in the Lippman-Schwinger equation from which the Schwinger variational principle can be derived. The determination of the pseudoresonance parameters from the separable potential is computationally inexpensive and may be used to predict the pseudoresonance parameters for the scattering calculations so as to avoid them. |
doi_str_mv | 10.1002/qua.560360813 |
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The determination of the pseudoresonance parameters from the separable potential is computationally inexpensive and may be used to predict the pseudoresonance parameters for the scattering calculations so as to avoid them.</description><identifier>ISSN: 0020-7608</identifier><identifier>EISSN: 1097-461X</identifier><identifier>DOI: 10.1002/qua.560360813</identifier><language>eng</language><publisher>New York: John Wiley & Sons, Inc</publisher><subject>640304 - Atomic, Molecular & Chemical Physics- Collision Phenomena ; ATOM COLLISIONS ; ATOMIC AND MOLECULAR PHYSICS ; COLLISIONS ; COMPUTERIZED SIMULATION ; ELECTRON COLLISIONS ; ELECTRON-ATOM COLLISIONS ; ELEMENTS ; ENERGY LEVELS ; GROUND STATES ; HYDROGEN ; NONMETALS ; PARTIAL WAVES ; RESONANCE ; S WAVES ; SCATTERING ; SIMULATION ; SINGULARITY ; VARIATIONAL METHODS</subject><ispartof>International journal of quantum chemistry, 1989-01, Vol.36 (S23), p.95-101</ispartof><rights>Copyright © 1989 John Wiley & Sons, Inc.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c3273-b7ff86bbe7901dff73db4bfae094ffaee1bb7e54f504e0bfddf7bdb840c6ec1a3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Fqua.560360813$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fqua.560360813$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>230,314,780,784,885,1417,27924,27925,45574,45575</link.rule.ids><backlink>$$Uhttps://www.osti.gov/biblio/5539475$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Weatherford, Charles A.</creatorcontrib><creatorcontrib>Odom, Gregory</creatorcontrib><creatorcontrib>Tucker, Roy</creatorcontrib><title>A study of pseudoresonances in the application of the schwinger variational principle to electron scattering from atomic hydrogen</title><title>International journal of quantum chemistry</title><addtitle>Int. J. Quantum Chem</addtitle><description>The Schwinger variational principle is applied to s-wave electron-hydrogen atom scattering. Computationally, consistent with a recent paper by Apagyi et al. (1988), there are pseudoresonances at the static exchange level of approximation, but not at the static level. The T-matrix as well as the K-matrix version of the Schwinger principle is used with a real Slater basis, and the same results are obtained in both. The origin of the pseudoresonances from singularities in the separable potential that is effectively employed in the Lippman-Schwinger equation from which the Schwinger variational principle can be derived. The determination of the pseudoresonance parameters from the separable potential is computationally inexpensive and may be used to predict the pseudoresonance parameters for the scattering calculations so as to avoid them.</description><subject>640304 - Atomic, Molecular & Chemical Physics- Collision Phenomena</subject><subject>ATOM COLLISIONS</subject><subject>ATOMIC AND MOLECULAR PHYSICS</subject><subject>COLLISIONS</subject><subject>COMPUTERIZED SIMULATION</subject><subject>ELECTRON COLLISIONS</subject><subject>ELECTRON-ATOM COLLISIONS</subject><subject>ELEMENTS</subject><subject>ENERGY LEVELS</subject><subject>GROUND STATES</subject><subject>HYDROGEN</subject><subject>NONMETALS</subject><subject>PARTIAL WAVES</subject><subject>RESONANCE</subject><subject>S WAVES</subject><subject>SCATTERING</subject><subject>SIMULATION</subject><subject>SINGULARITY</subject><subject>VARIATIONAL METHODS</subject><issn>0020-7608</issn><issn>1097-461X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1989</creationdate><recordtype>article</recordtype><sourceid>CYI</sourceid><recordid>eNp9kMFPHCEUh4nRxNX22FsPxPsoLAzsHDdqrY1pY6JtbwSYxy51FqbA1u7R_7xst7GePL2E3_e9PH4IvaPklBIyPfu51qetIEyQGWV7aEJJJxsu6Pd9NKk5aWRNDtFRzj8IIYIJOUFPc5zLut_g6PCYYd3HBDkGHSxk7AMuS8B6HAdvdfExbLHtU7bLRx8WkPAvnfzfSA94TD5YPw6AS8QwgC2pKrmqBWq0wC7FFdYlrrzFy02f4gLCG3Tg9JDh7b95jO4_XN6df2xuvlxdn89vGsumkjVGOjcTxoDsCO2dk6w33DgNpOOuDqDGSGi5awkHYlzfO2l6M-PECrBUs2N0stsbc_EqW1_ALm0MoZ6p2pZ1XLYVanaQTTHnBE7VP6102ihK1LZkVUtWzyVXXu74Rz_A5nVY3d7PX5rvd2bQWatQUla066rFZ7yd_j_E5wK_nxfr9KCEZLJV3z5fqYvu6yc6FRfqjv0Bkjyc3w</recordid><startdate>19890101</startdate><enddate>19890101</enddate><creator>Weatherford, Charles A.</creator><creator>Odom, Gregory</creator><creator>Tucker, Roy</creator><general>John Wiley & Sons, Inc</general><scope>BSCLL</scope><scope>CYE</scope><scope>CYI</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>OTOTI</scope></search><sort><creationdate>19890101</creationdate><title>A study of pseudoresonances in the application of the schwinger variational principle to electron scattering from atomic hydrogen</title><author>Weatherford, Charles A. ; Odom, Gregory ; Tucker, Roy</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3273-b7ff86bbe7901dff73db4bfae094ffaee1bb7e54f504e0bfddf7bdb840c6ec1a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1989</creationdate><topic>640304 - Atomic, Molecular & Chemical Physics- Collision Phenomena</topic><topic>ATOM COLLISIONS</topic><topic>ATOMIC AND MOLECULAR PHYSICS</topic><topic>COLLISIONS</topic><topic>COMPUTERIZED SIMULATION</topic><topic>ELECTRON COLLISIONS</topic><topic>ELECTRON-ATOM COLLISIONS</topic><topic>ELEMENTS</topic><topic>ENERGY LEVELS</topic><topic>GROUND STATES</topic><topic>HYDROGEN</topic><topic>NONMETALS</topic><topic>PARTIAL WAVES</topic><topic>RESONANCE</topic><topic>S WAVES</topic><topic>SCATTERING</topic><topic>SIMULATION</topic><topic>SINGULARITY</topic><topic>VARIATIONAL METHODS</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Weatherford, Charles A.</creatorcontrib><creatorcontrib>Odom, Gregory</creatorcontrib><creatorcontrib>Tucker, Roy</creatorcontrib><collection>Istex</collection><collection>NASA Scientific and Technical Information</collection><collection>NASA Technical Reports Server</collection><collection>CrossRef</collection><collection>OSTI.GOV</collection><jtitle>International journal of quantum chemistry</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Weatherford, Charles A.</au><au>Odom, Gregory</au><au>Tucker, Roy</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A study of pseudoresonances in the application of the schwinger variational principle to electron scattering from atomic hydrogen</atitle><jtitle>International journal of quantum chemistry</jtitle><addtitle>Int. J. Quantum Chem</addtitle><date>1989-01-01</date><risdate>1989</risdate><volume>36</volume><issue>S23</issue><spage>95</spage><epage>101</epage><pages>95-101</pages><issn>0020-7608</issn><eissn>1097-461X</eissn><abstract>The Schwinger variational principle is applied to s-wave electron-hydrogen atom scattering. Computationally, consistent with a recent paper by Apagyi et al. (1988), there are pseudoresonances at the static exchange level of approximation, but not at the static level. The T-matrix as well as the K-matrix version of the Schwinger principle is used with a real Slater basis, and the same results are obtained in both. The origin of the pseudoresonances from singularities in the separable potential that is effectively employed in the Lippman-Schwinger equation from which the Schwinger variational principle can be derived. The determination of the pseudoresonance parameters from the separable potential is computationally inexpensive and may be used to predict the pseudoresonance parameters for the scattering calculations so as to avoid them.</abstract><cop>New York</cop><pub>John Wiley & Sons, Inc</pub><doi>10.1002/qua.560360813</doi><tpages>7</tpages></addata></record> |
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subjects | 640304 - Atomic, Molecular & Chemical Physics- Collision Phenomena ATOM COLLISIONS ATOMIC AND MOLECULAR PHYSICS COLLISIONS COMPUTERIZED SIMULATION ELECTRON COLLISIONS ELECTRON-ATOM COLLISIONS ELEMENTS ENERGY LEVELS GROUND STATES HYDROGEN NONMETALS PARTIAL WAVES RESONANCE S WAVES SCATTERING SIMULATION SINGULARITY VARIATIONAL METHODS |
title | A study of pseudoresonances in the application of the schwinger variational principle to electron scattering from atomic hydrogen |
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