Eigenfunctions of spinless particles in a one-dimensional linear potential well
In the present paper, we work out the eigenfunctions of spinless particles bound in a one-dimensional linear finite range, attractive potential well, treating it as a time-like component of a four-vector. We show that the one-dimensional stationary Klein-Gordon equation is reduced to a standard diff...
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| creator | Rao, Nagalakshmi A Kagali, B A |
| description | In the present paper, we work out the eigenfunctions of spinless particles
bound in a one-dimensional linear finite range, attractive potential well,
treating it as a time-like component of a four-vector. We show that the
one-dimensional stationary Klein-Gordon equation is reduced to a standard
differential equation, whose solutions, consistent with the boundary
conditions, are the parabolic cylinder functions, which further reduce to the
well-known confluent hypergeometric functions. |
| doi_str_mv | 10.48550/arxiv.0811.0858 |
| format | Article |
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bound in a one-dimensional linear finite range, attractive potential well,
treating it as a time-like component of a four-vector. We show that the
one-dimensional stationary Klein-Gordon equation is reduced to a standard
differential equation, whose solutions, consistent with the boundary
conditions, are the parabolic cylinder functions, which further reduce to the
well-known confluent hypergeometric functions.</description><identifier>DOI: 10.48550/arxiv.0811.0858</identifier><language>eng</language><subject>Physics - Quantum Physics</subject><creationdate>2008-11</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>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/0811.0858$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.0811.0858$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Rao, Nagalakshmi A</creatorcontrib><creatorcontrib>Kagali, B A</creatorcontrib><title>Eigenfunctions of spinless particles in a one-dimensional linear potential well</title><description>In the present paper, we work out the eigenfunctions of spinless particles
bound in a one-dimensional linear finite range, attractive potential well,
treating it as a time-like component of a four-vector. We show that the
one-dimensional stationary Klein-Gordon equation is reduced to a standard
differential equation, whose solutions, consistent with the boundary
conditions, are the parabolic cylinder functions, which further reduce to the
well-known confluent hypergeometric functions.</description><subject>Physics - Quantum Physics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2008</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj0tPAzEMhHPhgAp3Tih_YEt2t07CEVXlIVXqpfeVaR1kKfWukuX173GBg8cj65M1Y8xN65arCODusHzxx9LFtlWBeGl2G34jSe9ymHmUasdk68SSqVY7YZn5oNayWLSjUHPkE0lVErPNLITFTuNMMrMePinnK3ORMFe6_t8Ls3_c7NfPzXb39LJ-2DboITZIK3RdCNR1gL4HSBopaiD_CgEDeKeT6Og9gRJw7wEUJNWgVOgX5vbv7W-hYSp8wvI9nIsN52L9D6v8SBk</recordid><startdate>20081105</startdate><enddate>20081105</enddate><creator>Rao, Nagalakshmi A</creator><creator>Kagali, B A</creator><scope>GOX</scope></search><sort><creationdate>20081105</creationdate><title>Eigenfunctions of spinless particles in a one-dimensional linear potential well</title><author>Rao, Nagalakshmi A ; Kagali, B A</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a658-ae4a0277e225a6355f08188586b57a7560756fed66e525a596555a6e555785873</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2008</creationdate><topic>Physics - Quantum Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Rao, Nagalakshmi A</creatorcontrib><creatorcontrib>Kagali, B A</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Rao, Nagalakshmi A</au><au>Kagali, B A</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Eigenfunctions of spinless particles in a one-dimensional linear potential well</atitle><date>2008-11-05</date><risdate>2008</risdate><abstract>In the present paper, we work out the eigenfunctions of spinless particles
bound in a one-dimensional linear finite range, attractive potential well,
treating it as a time-like component of a four-vector. We show that the
one-dimensional stationary Klein-Gordon equation is reduced to a standard
differential equation, whose solutions, consistent with the boundary
conditions, are the parabolic cylinder functions, which further reduce to the
well-known confluent hypergeometric functions.</abstract><doi>10.48550/arxiv.0811.0858</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Physics - Quantum Physics |
| title | Eigenfunctions of spinless particles in a one-dimensional linear potential well |
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