Broadening of energy levels of Rydberg states with small orbital angular momenta in ions of group IIb by ambient thermal radiation
We present the derivation of simple analytical expressions for calculating the widths of Rydberg states with small orbital angular momenta in Zn + , Cd + , Hg + ions of group IIb of the periodic system of elements induced by blackbody radiation (BBR) at ambient temperatures from 100 to 3000 K. The p...
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| Veröffentlicht in: | Quantum electronics (Woodbury, N.Y.) N.Y.), 2021-06, Vol.51 (6), p.511-517 |
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| container_title | Quantum electronics (Woodbury, N.Y.) |
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| creator | Glukhov, I.L. Kamenski, A.A. Ovsiannikov, V.D. |
| description | We present the derivation of simple analytical expressions for calculating the widths of Rydberg states with small orbital angular momenta in Zn
+
, Cd
+
, Hg
+
ions of group IIb of the periodic system of elements induced by blackbody radiation (BBR) at ambient temperatures from 100 to 3000 K. The probabilities of radiative transitions from excited
n
S,
n
P,
n
D and
n
F states to all dipole-accessible states of ions are calculated. The wave functions of the quantum defect (QD) method for the initial and final states of the Rydberg electron are used to calculate the amplitudes of transitions between bound states. The dependences of the probabilities of induced decays and excitations on the BBR temperature, the principal and orbital quantum numbers of the Rydberg ion are determined. Analytical expressions are derived for numerical estimates of the contributions of the probabilities of thermally induced decays and excitations to the width of the Rydberg energy level. The numerical values of the coefficients of interpolation polynomials representing asymptotic expansions in powers of the principal quantum number
n
for the relative probabilities of decays and excitations of Rydberg states with large values of
n
and small orbital angular momenta
l
= 0, 1, 2, 3 are calculated. |
| doi_str_mv | 10.1070/QEL17581 |
| format | Article |
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+
, Cd
+
, Hg
+
ions of group IIb of the periodic system of elements induced by blackbody radiation (BBR) at ambient temperatures from 100 to 3000 K. The probabilities of radiative transitions from excited
n
S,
n
P,
n
D and
n
F states to all dipole-accessible states of ions are calculated. The wave functions of the quantum defect (QD) method for the initial and final states of the Rydberg electron are used to calculate the amplitudes of transitions between bound states. The dependences of the probabilities of induced decays and excitations on the BBR temperature, the principal and orbital quantum numbers of the Rydberg ion are determined. Analytical expressions are derived for numerical estimates of the contributions of the probabilities of thermally induced decays and excitations to the width of the Rydberg energy level. The numerical values of the coefficients of interpolation polynomials representing asymptotic expansions in powers of the principal quantum number
n
for the relative probabilities of decays and excitations of Rydberg states with large values of
n
and small orbital angular momenta
l
= 0, 1, 2, 3 are calculated.</description><identifier>ISSN: 1063-7818</identifier><identifier>EISSN: 1468-4799</identifier><identifier>DOI: 10.1070/QEL17581</identifier><language>eng</language><publisher>Bristol: Kvantovaya Elektronika, Turpion Ltd and IOP Publishing</publisher><subject>Asymptotic series ; atom ; Black body radiation ; blackbody radiation ; Decay ; decay probability ; Dipoles ; Energy levels ; Exact solutions ; Excitation ; group IIb ; Interpolation ; ion ; Polynomials ; quantum defect method ; Quantum numbers ; Radiation ; Rydberg states ; Thermal radiation ; Wave functions</subject><ispartof>Quantum electronics (Woodbury, N.Y.), 2021-06, Vol.51 (6), p.511-517</ispartof><rights>2021 Kvantovaya Elektronika and IOP Publishing Limited</rights><rights>Copyright IOP Publishing Jun 2021</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c313t-3bd723b9035132f0078473f04218f5013c5a9a3ba836fbaff27b23982e16c4113</citedby><cites>FETCH-LOGICAL-c313t-3bd723b9035132f0078473f04218f5013c5a9a3ba836fbaff27b23982e16c4113</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://iopscience.iop.org/article/10.1070/QEL17581/pdf$$EPDF$$P50$$Giop$$H</linktopdf><link.rule.ids>314,776,780,27903,27904,53824,53871</link.rule.ids></links><search><creatorcontrib>Glukhov, I.L.</creatorcontrib><creatorcontrib>Kamenski, A.A.</creatorcontrib><creatorcontrib>Ovsiannikov, V.D.</creatorcontrib><title>Broadening of energy levels of Rydberg states with small orbital angular momenta in ions of group IIb by ambient thermal radiation</title><title>Quantum electronics (Woodbury, N.Y.)</title><addtitle>Quantum Electron</addtitle><description>We present the derivation of simple analytical expressions for calculating the widths of Rydberg states with small orbital angular momenta in Zn
+
, Cd
+
, Hg
+
ions of group IIb of the periodic system of elements induced by blackbody radiation (BBR) at ambient temperatures from 100 to 3000 K. The probabilities of radiative transitions from excited
n
S,
n
P,
n
D and
n
F states to all dipole-accessible states of ions are calculated. The wave functions of the quantum defect (QD) method for the initial and final states of the Rydberg electron are used to calculate the amplitudes of transitions between bound states. The dependences of the probabilities of induced decays and excitations on the BBR temperature, the principal and orbital quantum numbers of the Rydberg ion are determined. Analytical expressions are derived for numerical estimates of the contributions of the probabilities of thermally induced decays and excitations to the width of the Rydberg energy level. The numerical values of the coefficients of interpolation polynomials representing asymptotic expansions in powers of the principal quantum number
n
for the relative probabilities of decays and excitations of Rydberg states with large values of
n
and small orbital angular momenta
l
= 0, 1, 2, 3 are calculated.</description><subject>Asymptotic series</subject><subject>atom</subject><subject>Black body radiation</subject><subject>blackbody radiation</subject><subject>Decay</subject><subject>decay probability</subject><subject>Dipoles</subject><subject>Energy levels</subject><subject>Exact solutions</subject><subject>Excitation</subject><subject>group IIb</subject><subject>Interpolation</subject><subject>ion</subject><subject>Polynomials</subject><subject>quantum defect method</subject><subject>Quantum numbers</subject><subject>Radiation</subject><subject>Rydberg states</subject><subject>Thermal radiation</subject><subject>Wave functions</subject><issn>1063-7818</issn><issn>1468-4799</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp1kEFLwzAUx4soOObAjxDQg5dq0iRtetQxdTAQRc8haZMu0jZdkim9-snNnOJBvLz3-PN7vwcvSU4RvESwgFePixUqKEMHyQSRnKWkKMvDOMMcpwVD7DiZeW8kpIRAynI2ST5unBW16k3fAKuB6pVrRtCqN9X6XfA01jJGwAcRlAfvJqyB70TbAuukCaIFom-2rXCgs53qgwCmB8b2X8uNs9sBLJcSyBGITpoIgLBWLgqAE7URIaInyZEWrVez7z5NXm4Xz_P7dPVwt5xfr9IKIxxSLOsiw7KEmCKcaQgLRgqsIckQ0xQiXFFRCiwFw7mWQuuskBkuWaZQXhGE8DQ523sHZzdb5QN_tVvXx5M8o5gSRnCOI3WxpypnvXdK88GZTriRI8h3T-Y_T47o-R41dvh1bVTLKeJ5LIgPtf4H-2P7BNRZhqo</recordid><startdate>20210601</startdate><enddate>20210601</enddate><creator>Glukhov, I.L.</creator><creator>Kamenski, A.A.</creator><creator>Ovsiannikov, V.D.</creator><general>Kvantovaya Elektronika, Turpion Ltd and IOP Publishing</general><general>IOP Publishing</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>7U5</scope><scope>8FD</scope><scope>L7M</scope></search><sort><creationdate>20210601</creationdate><title>Broadening of energy levels of Rydberg states with small orbital angular momenta in ions of group IIb by ambient thermal radiation</title><author>Glukhov, I.L. ; Kamenski, A.A. ; Ovsiannikov, V.D.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c313t-3bd723b9035132f0078473f04218f5013c5a9a3ba836fbaff27b23982e16c4113</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Asymptotic series</topic><topic>atom</topic><topic>Black body radiation</topic><topic>blackbody radiation</topic><topic>Decay</topic><topic>decay probability</topic><topic>Dipoles</topic><topic>Energy levels</topic><topic>Exact solutions</topic><topic>Excitation</topic><topic>group IIb</topic><topic>Interpolation</topic><topic>ion</topic><topic>Polynomials</topic><topic>quantum defect method</topic><topic>Quantum numbers</topic><topic>Radiation</topic><topic>Rydberg states</topic><topic>Thermal radiation</topic><topic>Wave functions</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Glukhov, I.L.</creatorcontrib><creatorcontrib>Kamenski, A.A.</creatorcontrib><creatorcontrib>Ovsiannikov, V.D.</creatorcontrib><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Quantum electronics (Woodbury, N.Y.)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Glukhov, I.L.</au><au>Kamenski, A.A.</au><au>Ovsiannikov, V.D.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Broadening of energy levels of Rydberg states with small orbital angular momenta in ions of group IIb by ambient thermal radiation</atitle><jtitle>Quantum electronics (Woodbury, N.Y.)</jtitle><addtitle>Quantum Electron</addtitle><date>2021-06-01</date><risdate>2021</risdate><volume>51</volume><issue>6</issue><spage>511</spage><epage>517</epage><pages>511-517</pages><issn>1063-7818</issn><eissn>1468-4799</eissn><abstract>We present the derivation of simple analytical expressions for calculating the widths of Rydberg states with small orbital angular momenta in Zn
+
, Cd
+
, Hg
+
ions of group IIb of the periodic system of elements induced by blackbody radiation (BBR) at ambient temperatures from 100 to 3000 K. The probabilities of radiative transitions from excited
n
S,
n
P,
n
D and
n
F states to all dipole-accessible states of ions are calculated. The wave functions of the quantum defect (QD) method for the initial and final states of the Rydberg electron are used to calculate the amplitudes of transitions between bound states. The dependences of the probabilities of induced decays and excitations on the BBR temperature, the principal and orbital quantum numbers of the Rydberg ion are determined. Analytical expressions are derived for numerical estimates of the contributions of the probabilities of thermally induced decays and excitations to the width of the Rydberg energy level. The numerical values of the coefficients of interpolation polynomials representing asymptotic expansions in powers of the principal quantum number
n
for the relative probabilities of decays and excitations of Rydberg states with large values of
n
and small orbital angular momenta
l
= 0, 1, 2, 3 are calculated.</abstract><cop>Bristol</cop><pub>Kvantovaya Elektronika, Turpion Ltd and IOP Publishing</pub><doi>10.1070/QEL17581</doi><tpages>7</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1063-7818 |
| ispartof | Quantum electronics (Woodbury, N.Y.), 2021-06, Vol.51 (6), p.511-517 |
| issn | 1063-7818 1468-4799 |
| language | eng |
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| source | IOP Publishing Journals; Institute of Physics (IOP) Journals - HEAL-Link |
| subjects | Asymptotic series atom Black body radiation blackbody radiation Decay decay probability Dipoles Energy levels Exact solutions Excitation group IIb Interpolation ion Polynomials quantum defect method Quantum numbers Radiation Rydberg states Thermal radiation Wave functions |
| title | Broadening of energy levels of Rydberg states with small orbital angular momenta in ions of group IIb by ambient thermal radiation |
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