Generalization of Hypervirial and Feynman-Hellmann Theorems for Singular Potentials
Using well-known methods we generalize (hyper)virial theorems to case of singular potential. Discussion is performed for most general second order differential equation, which involves all physically interesting cases, as Schrodinger and Klein-Gordon equations with singular potentials. Some physical...
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| creator | Nadareishvili, T Khelashvili, A |
| description | Using well-known methods we generalize (hyper)virial theorems to case of
singular potential. Discussion is performed for most general second order
differential equation, which involves all physically interesting cases, as
Schrodinger and Klein-Gordon equations with singular potentials. Some physical
consequences are discussed. The connection with Feynman-Hellmann like theorems
are also considered and some relevant differences are underlined. |
| doi_str_mv | 10.48550/arxiv.0907.1824 |
| format | Article |
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singular potential. Discussion is performed for most general second order
differential equation, which involves all physically interesting cases, as
Schrodinger and Klein-Gordon equations with singular potentials. Some physical
consequences are discussed. The connection with Feynman-Hellmann like theorems
are also considered and some relevant differences are underlined.</description><identifier>DOI: 10.48550/arxiv.0907.1824</identifier><language>eng</language><subject>Mathematics - Mathematical Physics ; Physics - High Energy Physics - Theory ; Physics - Mathematical Physics ; Physics - Quantum Physics</subject><creationdate>2009-07</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/0907.1824$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.0907.1824$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Nadareishvili, T</creatorcontrib><creatorcontrib>Khelashvili, A</creatorcontrib><title>Generalization of Hypervirial and Feynman-Hellmann Theorems for Singular Potentials</title><description>Using well-known methods we generalize (hyper)virial theorems to case of
singular potential. Discussion is performed for most general second order
differential equation, which involves all physically interesting cases, as
Schrodinger and Klein-Gordon equations with singular potentials. Some physical
consequences are discussed. The connection with Feynman-Hellmann like theorems
are also considered and some relevant differences are underlined.</description><subject>Mathematics - Mathematical Physics</subject><subject>Physics - High Energy Physics - Theory</subject><subject>Physics - Mathematical Physics</subject><subject>Physics - Quantum Physics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotz7FOwzAUhWEvDKiwMyG_QIIdX9vJWFW0QapEpWaPrpMbailxKjdUhKcnBaZ_Okf6GHuSIoVca_GC8ctfU1EIm8o8g3t23FGgiL3_xsmPgY8dL-czxauPHnuOoeVbmsOAISmp75cGXp1ojDRceDdGfvTh47PHyA_jRGFaRpcHdtctocf_rli1fa02ZbJ_371t1vsEjYaEyDZgM6cEaIGQO9WYDJxsM2slGkSV5aAh7wxBW2hFThUOZKOsMdg4oVbs-e_2F1Wfox8wzvUNV99w6gciBUp7</recordid><startdate>20090710</startdate><enddate>20090710</enddate><creator>Nadareishvili, T</creator><creator>Khelashvili, A</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20090710</creationdate><title>Generalization of Hypervirial and Feynman-Hellmann Theorems for Singular Potentials</title><author>Nadareishvili, T ; Khelashvili, A</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a654-ee7c472b30450a48b3c624b1d2771a6aa3284548f6e4d953eb39b41c3766acb03</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Mathematics - Mathematical Physics</topic><topic>Physics - High Energy Physics - Theory</topic><topic>Physics - Mathematical Physics</topic><topic>Physics - Quantum Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Nadareishvili, T</creatorcontrib><creatorcontrib>Khelashvili, A</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Nadareishvili, T</au><au>Khelashvili, A</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Generalization of Hypervirial and Feynman-Hellmann Theorems for Singular Potentials</atitle><date>2009-07-10</date><risdate>2009</risdate><abstract>Using well-known methods we generalize (hyper)virial theorems to case of
singular potential. Discussion is performed for most general second order
differential equation, which involves all physically interesting cases, as
Schrodinger and Klein-Gordon equations with singular potentials. Some physical
consequences are discussed. The connection with Feynman-Hellmann like theorems
are also considered and some relevant differences are underlined.</abstract><doi>10.48550/arxiv.0907.1824</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Mathematical Physics Physics - High Energy Physics - Theory Physics - Mathematical Physics Physics - Quantum Physics |
| title | Generalization of Hypervirial and Feynman-Hellmann Theorems for Singular Potentials |
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