Higher-order phase-space moments for off-diagonal rotating Morse oscillators
The present paper proposes an advancement beyond the recent mathematical formulation [Cherroud O and Yahiaoui S-A 2023 Eur. Phys. J. Plus. 138 534], by extending their approach to the evaluation of off-diagonal matrix elements 〈 x ˆ m p ˆ l 〉 n , n ′ J , J ′ for the rotation-vibration Morse oscillat...
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| Veröffentlicht in: | Physica scripta 2024-06, Vol.99 (6), p.65266 |
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| creator | Cherroud, Othmane Yahiaoui, Sid-Ahmed |
| description | The present paper proposes an advancement beyond the recent mathematical formulation [Cherroud O and Yahiaoui S-A 2023 Eur. Phys. J. Plus.
138
534], by extending their approach to the evaluation of off-diagonal matrix elements
〈
x
ˆ
m
p
ˆ
l
〉
n
,
n
′
J
,
J
′
for the rotation-vibration Morse oscillators. Calculations are conducted within the framework of phase-space quantum mechanics, considering (
r
→
r
eq
). This methodology facilitates the derivation of analytical expressions for
〈
x
ˆ
s
〉
n
,
n
′
J
,
J
′
and
〈
p
ˆ
s
〉
n
,
n
′
J
,
J
′
matrix elements, where
s
= 1, 2, …. This approach enables the evaluation of both diagonal (
n
=
n
′
,
J
=
J
′
≠
0
) and off-diagonal (
n
≠
n
′
,
J
=
J
′
≠
0
) matrix elements through a more explicit and compact analytic formula, applicable for cases where
J
≠
J
′
as well as for scenarios involving non-rotating effects
J
=
J
′
=
0
. |
| doi_str_mv | 10.1088/1402-4896/ad4c1f |
| format | Article |
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138
534], by extending their approach to the evaluation of off-diagonal matrix elements
〈
x
ˆ
m
p
ˆ
l
〉
n
,
n
′
J
,
J
′
for the rotation-vibration Morse oscillators. Calculations are conducted within the framework of phase-space quantum mechanics, considering (
r
→
r
eq
). This methodology facilitates the derivation of analytical expressions for
〈
x
ˆ
s
〉
n
,
n
′
J
,
J
′
and
〈
p
ˆ
s
〉
n
,
n
′
J
,
J
′
matrix elements, where
s
= 1, 2, …. This approach enables the evaluation of both diagonal (
n
=
n
′
,
J
=
J
′
≠
0
) and off-diagonal (
n
≠
n
′
,
J
=
J
′
≠
0
) matrix elements through a more explicit and compact analytic formula, applicable for cases where
J
≠
J
′
as well as for scenarios involving non-rotating effects
J
=
J
′
=
0
.</description><identifier>ISSN: 0031-8949</identifier><identifier>EISSN: 1402-4896</identifier><identifier>DOI: 10.1088/1402-4896/ad4c1f</identifier><identifier>CODEN: PHSTBO</identifier><language>eng</language><publisher>IOP Publishing</publisher><subject>higher-order moments off-diagonal matrix elements ; ro-vibrating Morse oscillators ; Wigner functions</subject><ispartof>Physica scripta, 2024-06, Vol.99 (6), p.65266</ispartof><rights>2024 IOP Publishing Ltd</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c194t-dcffa653be27f284b78bf16aeb985bbe13adf3d40bbff4ffa8cc5069d9ce65603</cites><orcidid>0009-0003-5794-2656</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://iopscience.iop.org/article/10.1088/1402-4896/ad4c1f/pdf$$EPDF$$P50$$Giop$$H</linktopdf><link.rule.ids>314,776,780,27901,27902,53821,53868</link.rule.ids></links><search><creatorcontrib>Cherroud, Othmane</creatorcontrib><creatorcontrib>Yahiaoui, Sid-Ahmed</creatorcontrib><title>Higher-order phase-space moments for off-diagonal rotating Morse oscillators</title><title>Physica scripta</title><addtitle>PS</addtitle><addtitle>Phys. Scr</addtitle><description>The present paper proposes an advancement beyond the recent mathematical formulation [Cherroud O and Yahiaoui S-A 2023 Eur. Phys. J. Plus.
138
534], by extending their approach to the evaluation of off-diagonal matrix elements
〈
x
ˆ
m
p
ˆ
l
〉
n
,
n
′
J
,
J
′
for the rotation-vibration Morse oscillators. Calculations are conducted within the framework of phase-space quantum mechanics, considering (
r
→
r
eq
). This methodology facilitates the derivation of analytical expressions for
〈
x
ˆ
s
〉
n
,
n
′
J
,
J
′
and
〈
p
ˆ
s
〉
n
,
n
′
J
,
J
′
matrix elements, where
s
= 1, 2, …. This approach enables the evaluation of both diagonal (
n
=
n
′
,
J
=
J
′
≠
0
) and off-diagonal (
n
≠
n
′
,
J
=
J
′
≠
0
) matrix elements through a more explicit and compact analytic formula, applicable for cases where
J
≠
J
′
as well as for scenarios involving non-rotating effects
J
=
J
′
=
0
.</description><subject>higher-order moments off-diagonal matrix elements</subject><subject>ro-vibrating Morse oscillators</subject><subject>Wigner functions</subject><issn>0031-8949</issn><issn>1402-4896</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><recordid>eNp9kL1PwzAQxS0EEqWwM3piwvScOK49ogpapCIWmC1_XZsqrSM7DPz3pCpiQkynd_q9071HyC2HBw5KzbiAigml5cwG4Tmekcnv6pxMAGrOlBb6klyVsgOoZCX1hKxX7WYbM0s5xEz7rS2Rld76SPdpHw9DoZgyTYgstHaTDrajOQ12aA8b-ppyiTQV33adHUZxTS7QdiXe_Mwp-Xh-el-s2Ppt-bJ4XDPPtRhY8IhWNrWL1RwrJdxcOeTSRqdV41zktQ1YBwHOIYqRVd43IHXQPspGQj0lcLrrcyolRzR9bvc2fxkO5tiGOUY3x-jm1MZouT9Z2tSbXfrMY5LyH373B94Xo7WRBmRTSWn68ctvBgpwxg</recordid><startdate>20240601</startdate><enddate>20240601</enddate><creator>Cherroud, Othmane</creator><creator>Yahiaoui, Sid-Ahmed</creator><general>IOP Publishing</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0009-0003-5794-2656</orcidid></search><sort><creationdate>20240601</creationdate><title>Higher-order phase-space moments for off-diagonal rotating Morse oscillators</title><author>Cherroud, Othmane ; Yahiaoui, Sid-Ahmed</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c194t-dcffa653be27f284b78bf16aeb985bbe13adf3d40bbff4ffa8cc5069d9ce65603</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>higher-order moments off-diagonal matrix elements</topic><topic>ro-vibrating Morse oscillators</topic><topic>Wigner functions</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Cherroud, Othmane</creatorcontrib><creatorcontrib>Yahiaoui, Sid-Ahmed</creatorcontrib><collection>CrossRef</collection><jtitle>Physica scripta</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Cherroud, Othmane</au><au>Yahiaoui, Sid-Ahmed</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Higher-order phase-space moments for off-diagonal rotating Morse oscillators</atitle><jtitle>Physica scripta</jtitle><stitle>PS</stitle><addtitle>Phys. Scr</addtitle><date>2024-06-01</date><risdate>2024</risdate><volume>99</volume><issue>6</issue><spage>65266</spage><pages>65266-</pages><issn>0031-8949</issn><eissn>1402-4896</eissn><coden>PHSTBO</coden><abstract>The present paper proposes an advancement beyond the recent mathematical formulation [Cherroud O and Yahiaoui S-A 2023 Eur. Phys. J. Plus.
138
534], by extending their approach to the evaluation of off-diagonal matrix elements
〈
x
ˆ
m
p
ˆ
l
〉
n
,
n
′
J
,
J
′
for the rotation-vibration Morse oscillators. Calculations are conducted within the framework of phase-space quantum mechanics, considering (
r
→
r
eq
). This methodology facilitates the derivation of analytical expressions for
〈
x
ˆ
s
〉
n
,
n
′
J
,
J
′
and
〈
p
ˆ
s
〉
n
,
n
′
J
,
J
′
matrix elements, where
s
= 1, 2, …. This approach enables the evaluation of both diagonal (
n
=
n
′
,
J
=
J
′
≠
0
) and off-diagonal (
n
≠
n
′
,
J
=
J
′
≠
0
) matrix elements through a more explicit and compact analytic formula, applicable for cases where
J
≠
J
′
as well as for scenarios involving non-rotating effects
J
=
J
′
=
0
.</abstract><pub>IOP Publishing</pub><doi>10.1088/1402-4896/ad4c1f</doi><tpages>8</tpages><orcidid>https://orcid.org/0009-0003-5794-2656</orcidid></addata></record> |
| fulltext | fulltext |
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| ispartof | Physica scripta, 2024-06, Vol.99 (6), p.65266 |
| issn | 0031-8949 1402-4896 |
| language | eng |
| recordid | cdi_iop_journals_10_1088_1402_4896_ad4c1f |
| source | Institute of Physics Journals |
| subjects | higher-order moments off-diagonal matrix elements ro-vibrating Morse oscillators Wigner functions |
| title | Higher-order phase-space moments for off-diagonal rotating Morse oscillators |
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