Analytical solutions of the Schr\"{o}dinger equation with the Woods-Saxon potential for arbitrary $l$ state
Int.J.Mod.Phys.E18, No 3, 631-641 (2009) In this work, the analytical solution of the radial Schr\"{o}dinger equation for the Woods-Saxon potential is presented. In our calculations, we have applied the Nikiforov-Uvarov method by using the Pekeris approximation to the centrifugal potential for...
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creator | Badalov, V. H Ahmadov, H. I Ahmadov, A. I |
description | Int.J.Mod.Phys.E18, No 3, 631-641 (2009) In this work, the analytical solution of the radial Schr\"{o}dinger equation
for the Woods-Saxon potential is presented. In our calculations, we have
applied the Nikiforov-Uvarov method by using the Pekeris approximation to the
centrifugal potential for arbitrary $l$ states. The bound state energy
eigenvalues and corresponding eigenfunctions are obtained for various values of
$n$ and $l$ quantum numbers. |
doi_str_mv | 10.48550/arxiv.0905.2731 |
format | Article |
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for the Woods-Saxon potential is presented. In our calculations, we have
applied the Nikiforov-Uvarov method by using the Pekeris approximation to the
centrifugal potential for arbitrary $l$ states. The bound state energy
eigenvalues and corresponding eigenfunctions are obtained for various values of
$n$ and $l$ quantum numbers.</description><identifier>DOI: 10.48550/arxiv.0905.2731</identifier><language>eng</language><subject>Mathematics - Mathematical Physics ; Physics - Mathematical Physics</subject><creationdate>2009-05</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/0905.2731$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.1142/S0218301309012756$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48550/arXiv.0905.2731$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Badalov, V. H</creatorcontrib><creatorcontrib>Ahmadov, H. I</creatorcontrib><creatorcontrib>Ahmadov, A. I</creatorcontrib><title>Analytical solutions of the Schr\"{o}dinger equation with the Woods-Saxon potential for arbitrary $l$ state</title><description>Int.J.Mod.Phys.E18, No 3, 631-641 (2009) In this work, the analytical solution of the radial Schr\"{o}dinger equation
for the Woods-Saxon potential is presented. In our calculations, we have
applied the Nikiforov-Uvarov method by using the Pekeris approximation to the
centrifugal potential for arbitrary $l$ states. The bound state energy
eigenvalues and corresponding eigenfunctions are obtained for various values of
$n$ and $l$ quantum numbers.</description><subject>Mathematics - Mathematical Physics</subject><subject>Physics - Mathematical Physics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNqFzrELgkAUx_FbGqLam-IRrppmUo0RRbtBSyAvPfPo8uzuWUr0v6fS3vTg8eHHl7Gx5zqLVRC4M9SVeDru2g2c-dL3-uy2yVHWJGKUYJQsSajcgEqBMg5hnOnz9K0-icivXAN_lNgCeAnKOnFSKjF2iFXzLBTxnEQzlCoNqC-CNOoaLGmBISQ-ZL0UpeGj3x2wyX533B7srioqtLg3PmrrorbO_wu-PMRGVA</recordid><startdate>20090517</startdate><enddate>20090517</enddate><creator>Badalov, V. H</creator><creator>Ahmadov, H. I</creator><creator>Ahmadov, A. I</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20090517</creationdate><title>Analytical solutions of the Schr\"{o}dinger equation with the Woods-Saxon potential for arbitrary $l$ state</title><author>Badalov, V. H ; Ahmadov, H. I ; Ahmadov, A. I</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_0905_27313</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Mathematics - Mathematical Physics</topic><topic>Physics - Mathematical Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Badalov, V. H</creatorcontrib><creatorcontrib>Ahmadov, H. I</creatorcontrib><creatorcontrib>Ahmadov, A. I</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Badalov, V. H</au><au>Ahmadov, H. I</au><au>Ahmadov, A. I</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Analytical solutions of the Schr\"{o}dinger equation with the Woods-Saxon potential for arbitrary $l$ state</atitle><date>2009-05-17</date><risdate>2009</risdate><abstract>Int.J.Mod.Phys.E18, No 3, 631-641 (2009) In this work, the analytical solution of the radial Schr\"{o}dinger equation
for the Woods-Saxon potential is presented. In our calculations, we have
applied the Nikiforov-Uvarov method by using the Pekeris approximation to the
centrifugal potential for arbitrary $l$ states. The bound state energy
eigenvalues and corresponding eigenfunctions are obtained for various values of
$n$ and $l$ quantum numbers.</abstract><doi>10.48550/arxiv.0905.2731</doi><oa>free_for_read</oa></addata></record> |
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title | Analytical solutions of the Schr\"{o}dinger equation with the Woods-Saxon potential for arbitrary $l$ state |
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