Eigenfunctions, uncertainties and thermal properties of diatomic molecules under screened modified Kratzer potential
A new potential model is proposed in this paper. This new potential named the screened modified Kratzer potential is solved within the nonrelativistic regime using Nikiforov–Uvarov-Functional Analysis (NUFA) to obtain the energy spectrum and the corresponding eigenfunction. The numerical results for...
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| Veröffentlicht in: | Indian journal of physics 2022, Vol.96 (12), p.3429-3448 |
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| creator | Edet, C. O. Ikot, A. N. Okorie, U. S. Ramantswana, M. Rampho, G. J. Horchani, R. Abdullah, H. Y. Zahran, H. Y. Obagboye, L. F. Abdel-Aty, A.-H. Kaya, S. |
| description | A new potential model is proposed in this paper. This new potential named the screened modified Kratzer potential is solved within the nonrelativistic regime using Nikiforov–Uvarov-Functional Analysis (NUFA) to obtain the energy spectrum and the corresponding eigenfunction. The numerical results for selected diatomic molecules using the obtained energy spectrum have been obtained, and this is in good agreement with what was obtained using other analytical methods. The vibrational partition function for
CO
,
NO
and
N
2
diatomic molecules was evaluated via the Euler–Maclaurin approach and other thermal properties such as free energy, entropy, mean energy and specific heat capacity. The expectation values of
r
,
r
2
,
p
→
and
p
→
2
is also evaluated numerically for different diatomic molecules using the normalized wave function for the two low lying states
n
=
0
,
1
corresponding to the ground and first excited states. The numerical results for the selected diatomic molecules validates the Heisenberg uncertainty relation,
Δ
r
Δ
p
≥
ħ
2
. |
| doi_str_mv | 10.1007/s12648-022-02292-5 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2717710044</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2717710044</sourcerecordid><originalsourceid>FETCH-LOGICAL-c319t-723544c36269914e1f414375b99371c02741d02aba9125b2aac4dadb86a261a53</originalsourceid><addsrcrecordid>eNp9kEtPxCAUhYnRxHH0D7hq4tYqz1KWZjI-4iRudE0o0JFJSyvQhf56qTVx54Jwcs-5B_IBcIngDYKQ30aEK1qXEOP5CFyyI7CCgtNS1JQd_2hSIsrqU3AW4wHCSiDOViBt3d76dvI6ucHH6yIrG5JyPjkbC-VNkd5t6FVXjGEYszWPh7YwTqWhd7roh87qqcvTyRsbiqiDtd6abBjXuiyeg0pf2RmHZHOt6s7BSau6aC9-7zV4u9--bh7L3cvD0-ZuV2qCRCo5JoxSTSpcCYGoRS1FlHDWCEE40hBzigzEqlECYdZgpTQ1yjR1pXCFFCNrcLX05q9_TDYmeRim4POTEnPEeUZHaU7hJaXDEGOwrRyD61X4lAjKma5c6MpMVv7QlXM1WZZiDvu9DX_V_2x9A_mrfrY</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2717710044</pqid></control><display><type>article</type><title>Eigenfunctions, uncertainties and thermal properties of diatomic molecules under screened modified Kratzer potential</title><source>SpringerLink Journals - AutoHoldings</source><creator>Edet, C. O. ; Ikot, A. N. ; Okorie, U. S. ; Ramantswana, M. ; Rampho, G. J. ; Horchani, R. ; Abdullah, H. Y. ; Zahran, H. Y. ; Obagboye, L. F. ; Abdel-Aty, A.-H. ; Kaya, S.</creator><creatorcontrib>Edet, C. O. ; Ikot, A. N. ; Okorie, U. S. ; Ramantswana, M. ; Rampho, G. J. ; Horchani, R. ; Abdullah, H. Y. ; Zahran, H. Y. ; Obagboye, L. F. ; Abdel-Aty, A.-H. ; Kaya, S.</creatorcontrib><description>A new potential model is proposed in this paper. This new potential named the screened modified Kratzer potential is solved within the nonrelativistic regime using Nikiforov–Uvarov-Functional Analysis (NUFA) to obtain the energy spectrum and the corresponding eigenfunction. The numerical results for selected diatomic molecules using the obtained energy spectrum have been obtained, and this is in good agreement with what was obtained using other analytical methods. The vibrational partition function for
CO
,
NO
and
N
2
diatomic molecules was evaluated via the Euler–Maclaurin approach and other thermal properties such as free energy, entropy, mean energy and specific heat capacity. The expectation values of
r
,
r
2
,
p
→
and
p
→
2
is also evaluated numerically for different diatomic molecules using the normalized wave function for the two low lying states
n
=
0
,
1
corresponding to the ground and first excited states. The numerical results for the selected diatomic molecules validates the Heisenberg uncertainty relation,
Δ
r
Δ
p
≥
ħ
2
.</description><identifier>ISSN: 0973-1458</identifier><identifier>EISSN: 0974-9845</identifier><identifier>DOI: 10.1007/s12648-022-02292-5</identifier><language>eng</language><publisher>New Delhi: Springer India</publisher><subject>Astrophysics and Astroparticles ; Diatomic molecules ; Eigenvectors ; Energy spectra ; Free energy ; Functional analysis ; Original Paper ; Partitions (mathematics) ; Physics ; Physics and Astronomy ; Thermodynamic properties ; Uncertainty ; Wave functions</subject><ispartof>Indian journal of physics, 2022, Vol.96 (12), p.3429-3448</ispartof><rights>Indian Association for the Cultivation of Science 2022</rights><rights>Indian Association for the Cultivation of Science 2022.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c319t-723544c36269914e1f414375b99371c02741d02aba9125b2aac4dadb86a261a53</citedby><cites>FETCH-LOGICAL-c319t-723544c36269914e1f414375b99371c02741d02aba9125b2aac4dadb86a261a53</cites><orcidid>0000-0002-1078-262X</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s12648-022-02292-5$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s12648-022-02292-5$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27922,27923,41486,42555,51317</link.rule.ids></links><search><creatorcontrib>Edet, C. O.</creatorcontrib><creatorcontrib>Ikot, A. N.</creatorcontrib><creatorcontrib>Okorie, U. S.</creatorcontrib><creatorcontrib>Ramantswana, M.</creatorcontrib><creatorcontrib>Rampho, G. J.</creatorcontrib><creatorcontrib>Horchani, R.</creatorcontrib><creatorcontrib>Abdullah, H. Y.</creatorcontrib><creatorcontrib>Zahran, H. Y.</creatorcontrib><creatorcontrib>Obagboye, L. F.</creatorcontrib><creatorcontrib>Abdel-Aty, A.-H.</creatorcontrib><creatorcontrib>Kaya, S.</creatorcontrib><title>Eigenfunctions, uncertainties and thermal properties of diatomic molecules under screened modified Kratzer potential</title><title>Indian journal of physics</title><addtitle>Indian J Phys</addtitle><description>A new potential model is proposed in this paper. This new potential named the screened modified Kratzer potential is solved within the nonrelativistic regime using Nikiforov–Uvarov-Functional Analysis (NUFA) to obtain the energy spectrum and the corresponding eigenfunction. The numerical results for selected diatomic molecules using the obtained energy spectrum have been obtained, and this is in good agreement with what was obtained using other analytical methods. The vibrational partition function for
CO
,
NO
and
N
2
diatomic molecules was evaluated via the Euler–Maclaurin approach and other thermal properties such as free energy, entropy, mean energy and specific heat capacity. The expectation values of
r
,
r
2
,
p
→
and
p
→
2
is also evaluated numerically for different diatomic molecules using the normalized wave function for the two low lying states
n
=
0
,
1
corresponding to the ground and first excited states. The numerical results for the selected diatomic molecules validates the Heisenberg uncertainty relation,
Δ
r
Δ
p
≥
ħ
2
.</description><subject>Astrophysics and Astroparticles</subject><subject>Diatomic molecules</subject><subject>Eigenvectors</subject><subject>Energy spectra</subject><subject>Free energy</subject><subject>Functional analysis</subject><subject>Original Paper</subject><subject>Partitions (mathematics)</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Thermodynamic properties</subject><subject>Uncertainty</subject><subject>Wave functions</subject><issn>0973-1458</issn><issn>0974-9845</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp9kEtPxCAUhYnRxHH0D7hq4tYqz1KWZjI-4iRudE0o0JFJSyvQhf56qTVx54Jwcs-5B_IBcIngDYKQ30aEK1qXEOP5CFyyI7CCgtNS1JQd_2hSIsrqU3AW4wHCSiDOViBt3d76dvI6ucHH6yIrG5JyPjkbC-VNkd5t6FVXjGEYszWPh7YwTqWhd7roh87qqcvTyRsbiqiDtd6abBjXuiyeg0pf2RmHZHOt6s7BSau6aC9-7zV4u9--bh7L3cvD0-ZuV2qCRCo5JoxSTSpcCYGoRS1FlHDWCEE40hBzigzEqlECYdZgpTQ1yjR1pXCFFCNrcLX05q9_TDYmeRim4POTEnPEeUZHaU7hJaXDEGOwrRyD61X4lAjKma5c6MpMVv7QlXM1WZZiDvu9DX_V_2x9A_mrfrY</recordid><startdate>2022</startdate><enddate>2022</enddate><creator>Edet, C. O.</creator><creator>Ikot, A. N.</creator><creator>Okorie, U. S.</creator><creator>Ramantswana, M.</creator><creator>Rampho, G. J.</creator><creator>Horchani, R.</creator><creator>Abdullah, H. Y.</creator><creator>Zahran, H. Y.</creator><creator>Obagboye, L. F.</creator><creator>Abdel-Aty, A.-H.</creator><creator>Kaya, S.</creator><general>Springer India</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><orcidid>https://orcid.org/0000-0002-1078-262X</orcidid></search><sort><creationdate>2022</creationdate><title>Eigenfunctions, uncertainties and thermal properties of diatomic molecules under screened modified Kratzer potential</title><author>Edet, C. O. ; Ikot, A. N. ; Okorie, U. S. ; Ramantswana, M. ; Rampho, G. J. ; Horchani, R. ; Abdullah, H. Y. ; Zahran, H. Y. ; Obagboye, L. F. ; Abdel-Aty, A.-H. ; Kaya, S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-723544c36269914e1f414375b99371c02741d02aba9125b2aac4dadb86a261a53</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Astrophysics and Astroparticles</topic><topic>Diatomic molecules</topic><topic>Eigenvectors</topic><topic>Energy spectra</topic><topic>Free energy</topic><topic>Functional analysis</topic><topic>Original Paper</topic><topic>Partitions (mathematics)</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Thermodynamic properties</topic><topic>Uncertainty</topic><topic>Wave functions</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Edet, C. O.</creatorcontrib><creatorcontrib>Ikot, A. N.</creatorcontrib><creatorcontrib>Okorie, U. S.</creatorcontrib><creatorcontrib>Ramantswana, M.</creatorcontrib><creatorcontrib>Rampho, G. J.</creatorcontrib><creatorcontrib>Horchani, R.</creatorcontrib><creatorcontrib>Abdullah, H. Y.</creatorcontrib><creatorcontrib>Zahran, H. Y.</creatorcontrib><creatorcontrib>Obagboye, L. F.</creatorcontrib><creatorcontrib>Abdel-Aty, A.-H.</creatorcontrib><creatorcontrib>Kaya, S.</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Indian journal of physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Edet, C. O.</au><au>Ikot, A. N.</au><au>Okorie, U. S.</au><au>Ramantswana, M.</au><au>Rampho, G. J.</au><au>Horchani, R.</au><au>Abdullah, H. Y.</au><au>Zahran, H. Y.</au><au>Obagboye, L. F.</au><au>Abdel-Aty, A.-H.</au><au>Kaya, S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Eigenfunctions, uncertainties and thermal properties of diatomic molecules under screened modified Kratzer potential</atitle><jtitle>Indian journal of physics</jtitle><stitle>Indian J Phys</stitle><date>2022</date><risdate>2022</risdate><volume>96</volume><issue>12</issue><spage>3429</spage><epage>3448</epage><pages>3429-3448</pages><issn>0973-1458</issn><eissn>0974-9845</eissn><abstract>A new potential model is proposed in this paper. This new potential named the screened modified Kratzer potential is solved within the nonrelativistic regime using Nikiforov–Uvarov-Functional Analysis (NUFA) to obtain the energy spectrum and the corresponding eigenfunction. The numerical results for selected diatomic molecules using the obtained energy spectrum have been obtained, and this is in good agreement with what was obtained using other analytical methods. The vibrational partition function for
CO
,
NO
and
N
2
diatomic molecules was evaluated via the Euler–Maclaurin approach and other thermal properties such as free energy, entropy, mean energy and specific heat capacity. The expectation values of
r
,
r
2
,
p
→
and
p
→
2
is also evaluated numerically for different diatomic molecules using the normalized wave function for the two low lying states
n
=
0
,
1
corresponding to the ground and first excited states. The numerical results for the selected diatomic molecules validates the Heisenberg uncertainty relation,
Δ
r
Δ
p
≥
ħ
2
.</abstract><cop>New Delhi</cop><pub>Springer India</pub><doi>10.1007/s12648-022-02292-5</doi><tpages>20</tpages><orcidid>https://orcid.org/0000-0002-1078-262X</orcidid></addata></record> |
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| subjects | Astrophysics and Astroparticles Diatomic molecules Eigenvectors Energy spectra Free energy Functional analysis Original Paper Partitions (mathematics) Physics Physics and Astronomy Thermodynamic properties Uncertainty Wave functions |
| title | Eigenfunctions, uncertainties and thermal properties of diatomic molecules under screened modified Kratzer potential |
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