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Approximate solutions of Schrodinger equation and expectation values of Inversely Quadratic Hellmann-Kratzer (IQHK) potential
The study presents approximate solutions of Schrodinger equation with the Inversely quadratic Hellmann-Kratzer (IQHK) potential. The energy eigenvalues and corresponding wavefunctions are obtained analytically using the Nikiforov-Uvarov (NU) method. The expectation values of inverse position r −1 ,...
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| Published in: | European physical journal plus 2022-01, Vol.137 (1), p.147, Article 147 |
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| Main Authors: | , , , , , |
| Format: | Article |
| Language: | English |
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| cited_by | cdi_FETCH-LOGICAL-c334t-eb232e194e7dfc0ea18b79544838929e0f83357b927552b9c97aa3cae277bcb3 |
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| cites | cdi_FETCH-LOGICAL-c334t-eb232e194e7dfc0ea18b79544838929e0f83357b927552b9c97aa3cae277bcb3 |
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| container_issue | 1 |
| container_start_page | 147 |
| container_title | European physical journal plus |
| container_volume | 137 |
| creator | Onyenegecha, C. P. Okereke, C. J. Njoku, I. J. Madu, C. A. Ndubuisi, R. U. Nwajeri, U. K. |
| description | The study presents approximate solutions of Schrodinger equation with the Inversely quadratic Hellmann-Kratzer (IQHK) potential. The energy eigenvalues and corresponding wavefunctions are obtained analytically using the Nikiforov-Uvarov (NU) method. The expectation values of inverse position
r
−1
, square of inverse position,
r
−2
,
kinetic energy,
T,
potential energy,
V,
and square of momentum,
p
2
, and their respective numerical values are evaluated via the Hellmann–Feynman theorem. Special cases of IQHK potential are also reported. |
| doi_str_mv | 10.1140/epjp/s13360-021-02315-w |
| format | article |
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r
−1
, square of inverse position,
r
−2
,
kinetic energy,
T,
potential energy,
V,
and square of momentum,
p
2
, and their respective numerical values are evaluated via the Hellmann–Feynman theorem. Special cases of IQHK potential are also reported.</description><identifier>ISSN: 2190-5444</identifier><identifier>EISSN: 2190-5444</identifier><identifier>DOI: 10.1140/epjp/s13360-021-02315-w</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Applied and Technical Physics ; Atomic ; Complex Systems ; Condensed Matter Physics ; Eigenvalues ; Energy ; Equilibrium ; Kinetic energy ; Mathematical and Computational Physics ; Molecular ; Nonlinear equations ; Optical and Plasma Physics ; Physics ; Physics and Astronomy ; Potential energy ; Quantum dots ; Regular Article ; Schrodinger equation ; Theoretical ; Wave functions</subject><ispartof>European physical journal plus, 2022-01, Vol.137 (1), p.147, Article 147</ispartof><rights>The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022</rights><rights>The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c334t-eb232e194e7dfc0ea18b79544838929e0f83357b927552b9c97aa3cae277bcb3</citedby><cites>FETCH-LOGICAL-c334t-eb232e194e7dfc0ea18b79544838929e0f83357b927552b9c97aa3cae277bcb3</cites><orcidid>0000-0002-7287-4650</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Onyenegecha, C. P.</creatorcontrib><creatorcontrib>Okereke, C. J.</creatorcontrib><creatorcontrib>Njoku, I. J.</creatorcontrib><creatorcontrib>Madu, C. A.</creatorcontrib><creatorcontrib>Ndubuisi, R. U.</creatorcontrib><creatorcontrib>Nwajeri, U. K.</creatorcontrib><title>Approximate solutions of Schrodinger equation and expectation values of Inversely Quadratic Hellmann-Kratzer (IQHK) potential</title><title>European physical journal plus</title><addtitle>Eur. Phys. J. Plus</addtitle><description>The study presents approximate solutions of Schrodinger equation with the Inversely quadratic Hellmann-Kratzer (IQHK) potential. The energy eigenvalues and corresponding wavefunctions are obtained analytically using the Nikiforov-Uvarov (NU) method. The expectation values of inverse position
r
−1
, square of inverse position,
r
−2
,
kinetic energy,
T,
potential energy,
V,
and square of momentum,
p
2
, and their respective numerical values are evaluated via the Hellmann–Feynman theorem. Special cases of IQHK potential are also reported.</description><subject>Applied and Technical Physics</subject><subject>Atomic</subject><subject>Complex Systems</subject><subject>Condensed Matter Physics</subject><subject>Eigenvalues</subject><subject>Energy</subject><subject>Equilibrium</subject><subject>Kinetic energy</subject><subject>Mathematical and Computational Physics</subject><subject>Molecular</subject><subject>Nonlinear equations</subject><subject>Optical and Plasma Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Potential energy</subject><subject>Quantum dots</subject><subject>Regular Article</subject><subject>Schrodinger equation</subject><subject>Theoretical</subject><subject>Wave functions</subject><issn>2190-5444</issn><issn>2190-5444</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNqFkF1LwzAUhosoOOZ-gwFv9KIuX12ayzHUjQ1kuPuQpqe60bVd0u5D8L-broLeGQjJ4bzvm5wnCG4JfiSE4yFUm2roCGMjHGJK_GYkCg8XQY8SicOIc375534dDJzbYL-4JFzyXvA1ripbHtdbXQNyZd7U67JwqMzQm_mwZbou3sEi2DW6bSBdpAiOFZi6q_c6b-AsnxV7sA7yE1o2OrW-bdAU8nyriyKc-_rT59zPltP5A6rKGop6rfOb4CrTuYPBz9kPVs9Pq8k0XLy-zCbjRWgY43UICWUUiOQg0sxg0CROhPQDxSyWVALOYsYikUgqoogm0kihNTMaqBCJSVg_uOti_ag7_99abcrGFv5FRSWRgsSYjLxKdCpjS-csZKqynos9KYJVS1u1tFVHW3na6kxbHbwz7pzOO1pgv_n_Wb8BpXuI_Q</recordid><startdate>20220101</startdate><enddate>20220101</enddate><creator>Onyenegecha, C. 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P.</creatorcontrib><creatorcontrib>Okereke, C. J.</creatorcontrib><creatorcontrib>Njoku, I. J.</creatorcontrib><creatorcontrib>Madu, C. A.</creatorcontrib><creatorcontrib>Ndubuisi, R. U.</creatorcontrib><creatorcontrib>Nwajeri, U. 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P.</au><au>Okereke, C. J.</au><au>Njoku, I. J.</au><au>Madu, C. A.</au><au>Ndubuisi, R. U.</au><au>Nwajeri, U. K.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Approximate solutions of Schrodinger equation and expectation values of Inversely Quadratic Hellmann-Kratzer (IQHK) potential</atitle><jtitle>European physical journal plus</jtitle><stitle>Eur. Phys. J. Plus</stitle><date>2022-01-01</date><risdate>2022</risdate><volume>137</volume><issue>1</issue><spage>147</spage><pages>147-</pages><artnum>147</artnum><issn>2190-5444</issn><eissn>2190-5444</eissn><abstract>The study presents approximate solutions of Schrodinger equation with the Inversely quadratic Hellmann-Kratzer (IQHK) potential. The energy eigenvalues and corresponding wavefunctions are obtained analytically using the Nikiforov-Uvarov (NU) method. The expectation values of inverse position
r
−1
, square of inverse position,
r
−2
,
kinetic energy,
T,
potential energy,
V,
and square of momentum,
p
2
, and their respective numerical values are evaluated via the Hellmann–Feynman theorem. Special cases of IQHK potential are also reported.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1140/epjp/s13360-021-02315-w</doi><orcidid>https://orcid.org/0000-0002-7287-4650</orcidid></addata></record> |
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| subjects | Applied and Technical Physics Atomic Complex Systems Condensed Matter Physics Eigenvalues Energy Equilibrium Kinetic energy Mathematical and Computational Physics Molecular Nonlinear equations Optical and Plasma Physics Physics Physics and Astronomy Potential energy Quantum dots Regular Article Schrodinger equation Theoretical Wave functions |
| title | Approximate solutions of Schrodinger equation and expectation values of Inversely Quadratic Hellmann-Kratzer (IQHK) potential |
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