Exact commutation relations for the Cooper pair operators and the problem of two interacting Cooper’s pairs
The analysis of trilinear commutation relations for the Cooper pair operators reveals that they correspond to the modified parafermi statistics of rank p = 1. Two different expressions for the Cooper pair number operator are presented. We demonstrate that the calculations with a Hamiltonian expresse...
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| Veröffentlicht in: | Physica. C, Superconductivity Superconductivity, 2005-02, Vol.419 (1), p.13-17 |
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| container_title | Physica. C, Superconductivity |
| container_volume | 419 |
| creator | Kaplan, I.G. Navarro, O. Sánchez, J.A. |
| description | The analysis of trilinear commutation relations for the Cooper pair operators reveals that they correspond to the modified parafermi statistics of rank
p
=
1. Two different expressions for the Cooper pair number operator are presented. We demonstrate that the calculations with a Hamiltonian expressed via pairon operators is more convenient using the commutation properties of these operators without presenting them as a product of fermion operators. This allows to study problems in which the interactions between Cooper’s pairs are also included. The problem with two interacting Cooper’s pairs is resolved and its generalization in the case of large systems is discussed. |
| doi_str_mv | 10.1016/j.physc.2004.11.025 |
| format | Article |
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1. Two different expressions for the Cooper pair number operator are presented. We demonstrate that the calculations with a Hamiltonian expressed via pairon operators is more convenient using the commutation properties of these operators without presenting them as a product of fermion operators. This allows to study problems in which the interactions between Cooper’s pairs are also included. The problem with two interacting Cooper’s pairs is resolved and its generalization in the case of large systems is discussed.</description><identifier>ISSN: 0921-4534</identifier><identifier>EISSN: 1873-2143</identifier><identifier>DOI: 10.1016/j.physc.2004.11.025</identifier><language>eng</language><publisher>Amsterdam: Elsevier B.V</publisher><subject>Condensed matter: electronic structure, electrical, magnetic, and optical properties ; Cooper’s pair commutation relations ; Exact sciences and technology ; Pairing interactions ; Physics ; Strongly correlated electron systems ; Superconductivity</subject><ispartof>Physica. C, Superconductivity, 2005-02, Vol.419 (1), p.13-17</ispartof><rights>2004 Elsevier B.V.</rights><rights>2005 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c364t-e23f31083ed7ac9d1714d6f6184488d8a52a06ad59dc2f5dbc92faae49d7817f3</citedby><cites>FETCH-LOGICAL-c364t-e23f31083ed7ac9d1714d6f6184488d8a52a06ad59dc2f5dbc92faae49d7817f3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.physc.2004.11.025$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>315,781,785,3551,27929,27930,46000</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=16476501$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Kaplan, I.G.</creatorcontrib><creatorcontrib>Navarro, O.</creatorcontrib><creatorcontrib>Sánchez, J.A.</creatorcontrib><title>Exact commutation relations for the Cooper pair operators and the problem of two interacting Cooper’s pairs</title><title>Physica. C, Superconductivity</title><description>The analysis of trilinear commutation relations for the Cooper pair operators reveals that they correspond to the modified parafermi statistics of rank
p
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1. Two different expressions for the Cooper pair number operator are presented. We demonstrate that the calculations with a Hamiltonian expressed via pairon operators is more convenient using the commutation properties of these operators without presenting them as a product of fermion operators. This allows to study problems in which the interactions between Cooper’s pairs are also included. The problem with two interacting Cooper’s pairs is resolved and its generalization in the case of large systems is discussed.</description><subject>Condensed matter: electronic structure, electrical, magnetic, and optical properties</subject><subject>Cooper’s pair commutation relations</subject><subject>Exact sciences and technology</subject><subject>Pairing interactions</subject><subject>Physics</subject><subject>Strongly correlated electron systems</subject><subject>Superconductivity</subject><issn>0921-4534</issn><issn>1873-2143</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2005</creationdate><recordtype>article</recordtype><recordid>eNp9kDtu3DAQhokgBrxxfAI3bJJOCoekKKlIESzsJICBNHFN0OTQ5kISFZLrR-dr5Ho5ibUPwF2mmQHm--fxE3IBrAYG6sumnu-fs605Y7IGqBlv3pEVdK2oOEjxnqxYz6GSjZCn5EPOG7YE9LAi4-WTsYXaOI7bYkqIE0047ItMfUy03CNdxzhjorMJie4qU2LK1Exu351TvB1wpNHT8hhpmMpC2BKmu6Pw38vfvBfnj-TEmyHj-TGfkZury9_rH9X1r-8_19-uKyuULBVy4QWwTqBrje0dtCCd8go6KbvOdabhhinjmt5Z7ht3a3vujUHZu7aD1osz8vkwd7ntzxZz0WPIFofBTBi3WfO-Y0qJZgHFAbQp5pzQ6zmF0aRnDUzvrNUbvbdW76zVAHqxdlF9Oo432ZrBJzPZkN-kSraqYbBwXw8cLr8-BEw624CTRRcS2qJdDP_d8wqa95Nc</recordid><startdate>20050215</startdate><enddate>20050215</enddate><creator>Kaplan, I.G.</creator><creator>Navarro, O.</creator><creator>Sánchez, J.A.</creator><general>Elsevier B.V</general><general>Elsevier Science</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>L7M</scope></search><sort><creationdate>20050215</creationdate><title>Exact commutation relations for the Cooper pair operators and the problem of two interacting Cooper’s pairs</title><author>Kaplan, I.G. ; Navarro, O. ; Sánchez, J.A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c364t-e23f31083ed7ac9d1714d6f6184488d8a52a06ad59dc2f5dbc92faae49d7817f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2005</creationdate><topic>Condensed matter: electronic structure, electrical, magnetic, and optical properties</topic><topic>Cooper’s pair commutation relations</topic><topic>Exact sciences and technology</topic><topic>Pairing interactions</topic><topic>Physics</topic><topic>Strongly correlated electron systems</topic><topic>Superconductivity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kaplan, I.G.</creatorcontrib><creatorcontrib>Navarro, O.</creatorcontrib><creatorcontrib>Sánchez, J.A.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Physica. C, Superconductivity</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kaplan, I.G.</au><au>Navarro, O.</au><au>Sánchez, J.A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Exact commutation relations for the Cooper pair operators and the problem of two interacting Cooper’s pairs</atitle><jtitle>Physica. C, Superconductivity</jtitle><date>2005-02-15</date><risdate>2005</risdate><volume>419</volume><issue>1</issue><spage>13</spage><epage>17</epage><pages>13-17</pages><issn>0921-4534</issn><eissn>1873-2143</eissn><abstract>The analysis of trilinear commutation relations for the Cooper pair operators reveals that they correspond to the modified parafermi statistics of rank
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1. Two different expressions for the Cooper pair number operator are presented. We demonstrate that the calculations with a Hamiltonian expressed via pairon operators is more convenient using the commutation properties of these operators without presenting them as a product of fermion operators. This allows to study problems in which the interactions between Cooper’s pairs are also included. The problem with two interacting Cooper’s pairs is resolved and its generalization in the case of large systems is discussed.</abstract><cop>Amsterdam</cop><pub>Elsevier B.V</pub><doi>10.1016/j.physc.2004.11.025</doi><tpages>5</tpages></addata></record> |
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| issn | 0921-4534 1873-2143 |
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| subjects | Condensed matter: electronic structure, electrical, magnetic, and optical properties Cooper’s pair commutation relations Exact sciences and technology Pairing interactions Physics Strongly correlated electron systems Superconductivity |
| title | Exact commutation relations for the Cooper pair operators and the problem of two interacting Cooper’s pairs |
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