An Algebraic q-Deformed Form for Shape-Invariant Systems
J.Phys.A36:11631-11642,2003 A quantum deformed theory applicable to all shape-invariant bound-state systems is introduced by defining q-deformed ladder operators. We show these new ladder operators satisfy new q-deformed commutation relations. In this context we construct an alternative q-deformed m...
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creator | Aleixo, A. N. F Balantekin, A. B Ribeiro, M. A. Candido |
description | J.Phys.A36:11631-11642,2003 A quantum deformed theory applicable to all shape-invariant bound-state
systems is introduced by defining q-deformed ladder operators. We show these
new ladder operators satisfy new q-deformed commutation relations. In this
context we construct an alternative q-deformed model that preserve the
shape-invariance property presented by primary system. q-deformed
generalizations of Morse, Scarf, and Coulomb potentials are given as examples. |
doi_str_mv | 10.48550/arxiv.math-ph/0310015 |
format | Article |
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systems is introduced by defining q-deformed ladder operators. We show these
new ladder operators satisfy new q-deformed commutation relations. In this
context we construct an alternative q-deformed model that preserve the
shape-invariance property presented by primary system. q-deformed
generalizations of Morse, Scarf, and Coulomb potentials are given as examples.</description><identifier>DOI: 10.48550/arxiv.math-ph/0310015</identifier><language>eng</language><subject>Mathematics - Mathematical Physics ; Physics - Mathematical Physics ; Physics - Nuclear Theory</subject><creationdate>2003-10</creationdate><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/math-ph/0310015$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.math-ph/0310015$$DView paper in arXiv$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.1088/0305-4470/36/46/007$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink></links><search><creatorcontrib>Aleixo, A. N. F</creatorcontrib><creatorcontrib>Balantekin, A. B</creatorcontrib><creatorcontrib>Ribeiro, M. A. Candido</creatorcontrib><title>An Algebraic q-Deformed Form for Shape-Invariant Systems</title><description>J.Phys.A36:11631-11642,2003 A quantum deformed theory applicable to all shape-invariant bound-state
systems is introduced by defining q-deformed ladder operators. We show these
new ladder operators satisfy new q-deformed commutation relations. In this
context we construct an alternative q-deformed model that preserve the
shape-invariance property presented by primary system. q-deformed
generalizations of Morse, Scarf, and Coulomb potentials are given as examples.</description><subject>Mathematics - Mathematical Physics</subject><subject>Physics - Mathematical Physics</subject><subject>Physics - Nuclear Theory</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2003</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNpjYJAzNNAzsTA1NdBPLKrILNPLTSzJ0C3I0DcwNjQwMDTlZLBwzFNwzElPTSpKzExWKNR1SU3LL8pNTVFwA1IKQLZCcEZiQaquZ15ZYlFmYl6JQnBlcUlqbjEPA2taYk5xKi-U5mZQcXMNcfbQBVsUX1CUmZtYVBkPsjC-ICMeaqExkcoAmP86NQ</recordid><startdate>20031009</startdate><enddate>20031009</enddate><creator>Aleixo, A. N. F</creator><creator>Balantekin, A. B</creator><creator>Ribeiro, M. A. Candido</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20031009</creationdate><title>An Algebraic q-Deformed Form for Shape-Invariant Systems</title><author>Aleixo, A. N. F ; Balantekin, A. B ; Ribeiro, M. A. Candido</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_math_ph_03100153</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2003</creationdate><topic>Mathematics - Mathematical Physics</topic><topic>Physics - Mathematical Physics</topic><topic>Physics - Nuclear Theory</topic><toplevel>online_resources</toplevel><creatorcontrib>Aleixo, A. N. F</creatorcontrib><creatorcontrib>Balantekin, A. B</creatorcontrib><creatorcontrib>Ribeiro, M. A. Candido</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Aleixo, A. N. F</au><au>Balantekin, A. B</au><au>Ribeiro, M. A. Candido</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>An Algebraic q-Deformed Form for Shape-Invariant Systems</atitle><date>2003-10-09</date><risdate>2003</risdate><abstract>J.Phys.A36:11631-11642,2003 A quantum deformed theory applicable to all shape-invariant bound-state
systems is introduced by defining q-deformed ladder operators. We show these
new ladder operators satisfy new q-deformed commutation relations. In this
context we construct an alternative q-deformed model that preserve the
shape-invariance property presented by primary system. q-deformed
generalizations of Morse, Scarf, and Coulomb potentials are given as examples.</abstract><doi>10.48550/arxiv.math-ph/0310015</doi><oa>free_for_read</oa></addata></record> |
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title | An Algebraic q-Deformed Form for Shape-Invariant Systems |
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