Sum of oscillator-strength moments and asymptotic behaviour of thermally induced broadening and shift of energy levels of Rydberg atom circular states
Based on the rules for summing oscillator-strength moments, we derive analytical expressions for environmentally (thermally) induced energy-level shifts and broadenings of circular Rydberg states with maximum orbital (l) and magnetic (m) quantum numbers, l = |m| = n - 1. The formulae for the energy...
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| Veröffentlicht in: | Quantum electronics (Woodbury, N.Y.) N.Y.), 2020-06, Vol.50 (6), p.581-589 |
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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 | Based on the rules for summing oscillator-strength moments, we derive analytical expressions for environmentally (thermally) induced energy-level shifts and broadenings of circular Rydberg states with maximum orbital (l) and magnetic (m) quantum numbers, l = |m| = n - 1. The formulae for the energy of interaction with blackbody radiation are presented in the form of series expansion in even powers of the small parameter η = Z2/(n3kBT) ≪ 1 in the region of high temperatures T and principal quantum numbers n (Z is the charge of the residual ion). The expression for the thermally induced width contains a negative temperature-independent term coinciding in absolute value with the spontaneous width, so that the temperature-independent term is absent in the expression for the sum of the spontaneous and thermally induced widths. A similar expansion in powers of η for the thermally induced shift also contains a temperature-independent term proportional to 1/n6. |
| doi_str_mv | 10.1070/QEL17342 |
| format | Article |
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The formulae for the energy of interaction with blackbody radiation are presented in the form of series expansion in even powers of the small parameter η = Z2/(n3kBT) ≪ 1 in the region of high temperatures T and principal quantum numbers n (Z is the charge of the residual ion). The expression for the thermally induced width contains a negative temperature-independent term coinciding in absolute value with the spontaneous width, so that the temperature-independent term is absent in the expression for the sum of the spontaneous and thermally induced widths. 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The formulae for the energy of interaction with blackbody radiation are presented in the form of series expansion in even powers of the small parameter η = Z2/(n3kBT) ≪ 1 in the region of high temperatures T and principal quantum numbers n (Z is the charge of the residual ion). The expression for the thermally induced width contains a negative temperature-independent term coinciding in absolute value with the spontaneous width, so that the temperature-independent term is absent in the expression for the sum of the spontaneous and thermally induced widths. A similar expansion in powers of η for the thermally induced shift also contains a temperature-independent term proportional to 1/n6.</description><subject>Asymptotic properties</subject><subject>ASYMPTOTIC SOLUTIONS</subject><subject>ATOMIC AND MOLECULAR PHYSICS</subject><subject>ATOMS</subject><subject>Black body radiation</subject><subject>BLACKBODY RADIATION</subject><subject>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</subject><subject>CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY</subject><subject>Energy levels</subject><subject>INTERACTIONS</subject><subject>Mathematical analysis</subject><subject>OSCILLATOR STRENGTHS</subject><subject>QUANTUM NUMBERS</subject><subject>RYDBERG STATES</subject><subject>Series expansion</subject><subject>TEMPERATURE RANGE 0400-1000 K</subject><issn>1063-7818</issn><issn>1468-4799</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNqFkc9KHTEUxgdpQVGhjxBoF92MJpNMklmKWC1cKFr3QyY5uROZSa5JRpgX6fOa22tx0YWrc_j4ne_8q6ovBF8QLPDl_c2GCMqao-qEMC5rJrruU8kxp7WQRB5X5ym5AbeM4VZyeVL9-b3MKFgUknbTpHKIdcoR_DaPaA4z-JyQ8gaptM67HLLTaIBRvbiwxH1dHiHOappW5LxZNBg0xKAMeOe3fwvT6Gzek-Ahblc0wQtMaS88rGYoEipNZ6Rd1MukIkpZZUhn1WerpgTnb_G0evxx83h9V29-3f68vtrUmoou15Y2WHDMqOqgGaRoSWOhsVoP2Egmho4NloPhWGlrtJGSWWo6TVpMtdCYnlZfD7YhZdeXE2TQow7eg859QwkjXcvfqV0Mzwuk3D-V7X2Zq28YKXdsBW8-oChnvCW0UN8PlI4hpQi230U3q7j2BPf7H_b_fljQbwfUhd2713_YK86xm7E</recordid><startdate>20200601</startdate><enddate>20200601</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><scope>OTOTI</scope></search><sort><creationdate>20200601</creationdate><title>Sum of oscillator-strength moments and asymptotic behaviour of thermally induced broadening and shift of energy levels of Rydberg atom circular states</title><author>Glukhov, I.L. ; Kamenski, A.A. ; Ovsiannikov, V.D.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c379t-f32076043a9e2b87512fe2fccb0d847b94bf6ed60acfdcd884f3d9c1503c7c03</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Asymptotic properties</topic><topic>ASYMPTOTIC SOLUTIONS</topic><topic>ATOMIC AND MOLECULAR PHYSICS</topic><topic>ATOMS</topic><topic>Black body radiation</topic><topic>BLACKBODY RADIATION</topic><topic>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</topic><topic>CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY</topic><topic>Energy levels</topic><topic>INTERACTIONS</topic><topic>Mathematical analysis</topic><topic>OSCILLATOR STRENGTHS</topic><topic>QUANTUM NUMBERS</topic><topic>RYDBERG STATES</topic><topic>Series expansion</topic><topic>TEMPERATURE RANGE 0400-1000 K</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><collection>OSTI.GOV</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>Sum of oscillator-strength moments and asymptotic behaviour of thermally induced broadening and shift of energy levels of Rydberg atom circular states</atitle><jtitle>Quantum electronics (Woodbury, N.Y.)</jtitle><addtitle>Quantum Electron</addtitle><date>2020-06-01</date><risdate>2020</risdate><volume>50</volume><issue>6</issue><spage>581</spage><epage>589</epage><pages>581-589</pages><issn>1063-7818</issn><eissn>1468-4799</eissn><abstract>Based on the rules for summing oscillator-strength moments, we derive analytical expressions for environmentally (thermally) induced energy-level shifts and broadenings of circular Rydberg states with maximum orbital (l) and magnetic (m) quantum numbers, l = |m| = n - 1. The formulae for the energy of interaction with blackbody radiation are presented in the form of series expansion in even powers of the small parameter η = Z2/(n3kBT) ≪ 1 in the region of high temperatures T and principal quantum numbers n (Z is the charge of the residual ion). The expression for the thermally induced width contains a negative temperature-independent term coinciding in absolute value with the spontaneous width, so that the temperature-independent term is absent in the expression for the sum of the spontaneous and thermally induced widths. A similar expansion in powers of η for the thermally induced shift also contains a temperature-independent term proportional to 1/n6.</abstract><cop>Bristol</cop><pub>Kvantovaya Elektronika, Turpion Ltd and IOP Publishing</pub><doi>10.1070/QEL17342</doi><tpages>9</tpages></addata></record> |
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| ispartof | Quantum electronics (Woodbury, N.Y.), 2020-06, Vol.50 (6), p.581-589 |
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| subjects | Asymptotic properties ASYMPTOTIC SOLUTIONS ATOMIC AND MOLECULAR PHYSICS ATOMS Black body radiation BLACKBODY RADIATION CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY Energy levels INTERACTIONS Mathematical analysis OSCILLATOR STRENGTHS QUANTUM NUMBERS RYDBERG STATES Series expansion TEMPERATURE RANGE 0400-1000 K |
| title | Sum of oscillator-strength moments and asymptotic behaviour of thermally induced broadening and shift of energy levels of Rydberg atom circular states |
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