The scattering amplitude for a newly found exactly solvable potential
The scattering amplitude for a recently discovered exactly solvable shape invariant potential, which is isospectral to the generalized Pöschl–Teller potential, is calculated explicitly by considering the asymptotic behavior of the X1 Jacobi exceptional polynomials associated with this system. ► Scat...
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| Veröffentlicht in: | Annals of physics 2013-04, Vol.331, p.313-316 |
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| container_end_page | 316 |
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| container_title | Annals of physics |
| container_volume | 331 |
| creator | Yadav, Rajesh Kumar Khare, Avinash Mandal, Bhabani Prasad |
| description | The scattering amplitude for a recently discovered exactly solvable shape invariant potential, which is isospectral to the generalized Pöschl–Teller potential, is calculated explicitly by considering the asymptotic behavior of the X1 Jacobi exceptional polynomials associated with this system.
► Scattering states of a newly obtained shape invariant potential (SIP) are obtained. ► The scattering amplitude of the newly obtained SIP is derived for the first time. ► The scattering amplitude is shown to be different from that of its isospectral partner potential. |
| doi_str_mv | 10.1016/j.aop.2013.01.006 |
| format | Article |
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► Scattering states of a newly obtained shape invariant potential (SIP) are obtained. ► The scattering amplitude of the newly obtained SIP is derived for the first time. ► The scattering amplitude is shown to be different from that of its isospectral partner potential.</description><identifier>ISSN: 0003-4916</identifier><identifier>EISSN: 1096-035X</identifier><identifier>DOI: 10.1016/j.aop.2013.01.006</identifier><identifier>CODEN: APNYA6</identifier><language>eng</language><publisher>New York: Elsevier Inc</publisher><subject>Exactly solvable system ; Scattering ; Scattering amplitude ; Shape invariant potential ; Spectrum analysis</subject><ispartof>Annals of physics, 2013-04, Vol.331, p.313-316</ispartof><rights>2013 Elsevier Inc.</rights><rights>Copyright © 2013 Elsevier B.V. All rights reserved.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c391t-298558ac9e1defaaa3cf3a54e241203321d155a3eb12052061f392c7f7fbf1723</citedby><cites>FETCH-LOGICAL-c391t-298558ac9e1defaaa3cf3a54e241203321d155a3eb12052061f392c7f7fbf1723</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0003491613000109$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27901,27902,65306</link.rule.ids></links><search><creatorcontrib>Yadav, Rajesh Kumar</creatorcontrib><creatorcontrib>Khare, Avinash</creatorcontrib><creatorcontrib>Mandal, Bhabani Prasad</creatorcontrib><title>The scattering amplitude for a newly found exactly solvable potential</title><title>Annals of physics</title><description>The scattering amplitude for a recently discovered exactly solvable shape invariant potential, which is isospectral to the generalized Pöschl–Teller potential, is calculated explicitly by considering the asymptotic behavior of the X1 Jacobi exceptional polynomials associated with this system.
► Scattering states of a newly obtained shape invariant potential (SIP) are obtained. ► The scattering amplitude of the newly obtained SIP is derived for the first time. ► The scattering amplitude is shown to be different from that of its isospectral partner potential.</description><subject>Exactly solvable system</subject><subject>Scattering</subject><subject>Scattering amplitude</subject><subject>Shape invariant potential</subject><subject>Spectrum analysis</subject><issn>0003-4916</issn><issn>1096-035X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><recordid>eNp9kE9LAzEQxYMoWKsfwNuC511nks22iycp_oOClwreQpqd6JbtZk2y1X57U-rZ08yD92YeP8auEQoErG43hXZDwQFFAVgAVCdsglBXOQj5fsomACDyssbqnF2EsAFALOV8wh5Wn5QFo2Mk3_Yfmd4OXRvHhjLrfKaznr67fdrHvsnoR5uYVHDdTq87ygYXqY-t7i7ZmdVdoKu_OWVvjw-rxXO-fH16WdwvcyNqjDmv51LOtakJG7Jaa2Gs0LIkXiIHITg2KKUWtE5ScqjQipqbmZ3ZtcUZF1N2c7w7ePc1Uohq40bfp5cKBYpS1BWXyYVHl_EuBE9WDb7dar9XCOpAS21UoqUOtBSgSrRS5u6YoVR_15JXwbTUG2paTyaqxrX_pH8BnZVx2g</recordid><startdate>201304</startdate><enddate>201304</enddate><creator>Yadav, Rajesh Kumar</creator><creator>Khare, Avinash</creator><creator>Mandal, Bhabani Prasad</creator><general>Elsevier Inc</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>L7M</scope></search><sort><creationdate>201304</creationdate><title>The scattering amplitude for a newly found exactly solvable potential</title><author>Yadav, Rajesh Kumar ; Khare, Avinash ; Mandal, Bhabani Prasad</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c391t-298558ac9e1defaaa3cf3a54e241203321d155a3eb12052061f392c7f7fbf1723</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Exactly solvable system</topic><topic>Scattering</topic><topic>Scattering amplitude</topic><topic>Shape invariant potential</topic><topic>Spectrum analysis</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Yadav, Rajesh Kumar</creatorcontrib><creatorcontrib>Khare, Avinash</creatorcontrib><creatorcontrib>Mandal, Bhabani Prasad</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Annals of physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Yadav, Rajesh Kumar</au><au>Khare, Avinash</au><au>Mandal, Bhabani Prasad</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The scattering amplitude for a newly found exactly solvable potential</atitle><jtitle>Annals of physics</jtitle><date>2013-04</date><risdate>2013</risdate><volume>331</volume><spage>313</spage><epage>316</epage><pages>313-316</pages><issn>0003-4916</issn><eissn>1096-035X</eissn><coden>APNYA6</coden><abstract>The scattering amplitude for a recently discovered exactly solvable shape invariant potential, which is isospectral to the generalized Pöschl–Teller potential, is calculated explicitly by considering the asymptotic behavior of the X1 Jacobi exceptional polynomials associated with this system.
► Scattering states of a newly obtained shape invariant potential (SIP) are obtained. ► The scattering amplitude of the newly obtained SIP is derived for the first time. ► The scattering amplitude is shown to be different from that of its isospectral partner potential.</abstract><cop>New York</cop><pub>Elsevier Inc</pub><doi>10.1016/j.aop.2013.01.006</doi><tpages>4</tpages></addata></record> |
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| ispartof | Annals of physics, 2013-04, Vol.331, p.313-316 |
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| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | Exactly solvable system Scattering Scattering amplitude Shape invariant potential Spectrum analysis |
| title | The scattering amplitude for a newly found exactly solvable potential |
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