Exact quantum defect theory approach for lithium in magnetic fields

doi:10.1088/1674-1056/22/1/013204

中国物理B ›› 2013, Vol. 22 ›› Issue (1): 13204-013204.doi: 10.1088/1674-1056/22/1/013204

• ATOMIC AND MOLECULAR PHYSICS • 上一篇下一篇

Exact quantum defect theory approach for lithium in magnetic fields

徐家坤^{a b}, 陈海清^a, 刘红平^c

a College of Optoelectronic Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China;
b School of Electronic and Electrical Engineering, Wuhan Textile University, Wuhan 430073, China;
c State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China

收稿日期:2012-05-11 修回日期:2012-05-27 出版日期:2012-12-01 发布日期:2012-12-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11174329 and 91121005) and the National Basic Research Program of China (Grant No. 2013CB922003).

Exact quantum defect theory approach for lithium in magnetic fields

Xu Jia-Kun (徐家坤)^{a b}, Chen Hai-Qing (陈海清)^a, Liu Hong-Ping (刘红平)^c

a College of Optoelectronic Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China;
b School of Electronic and Electrical Engineering, Wuhan Textile University, Wuhan 430073, China;
c State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China

Received:2012-05-11 Revised:2012-05-27 Online:2012-12-01 Published:2012-12-01
Contact: Liu Hong-Ping E-mail:liuhongping@wipm.ac.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11174329 and 91121005) and the National Basic Research Program of China (Grant No. 2013CB922003).

摘要/Abstract

摘要： We calculate the diamagnetic spectrum of lithium at highly excited states up to the positive energy range using the exact quantum defect theory approach. The concerned excitation is one-photon transition from the ground state 2s to the highly excited states np with π and σ polarizations respectively. Lithium has a small quantum defect value 0.05 for the np states, and its diamagnetic spectrum is very similar to that of hydrogen in the energy range approaching the ionization limit. However, a careful calculation shows that the spectrum has a significant discrepancy with that of hydrogen when the energy is lower than -70 cm^-1. The effect of the quantum defect is also discussed for the Stark spectrum. It is found that the σ transition to the np states in an electric field has a similar hydrogen behavior due to the zero interaction with channel ns.

关键词: diamagnetic spectrum, quantum defect theory

Abstract: We calculate the diamagnetic spectrum of lithium at highly excited states up to the positive energy range using the exact quantum defect theory approach. The concerned excitation is one-photon transition from the ground state 2s to the highly excited states np with π and σ polarizations respectively. Lithium has a small quantum defect value 0.05 for the np states, and its diamagnetic spectrum is very similar to that of hydrogen in the energy range approaching the ionization limit. However, a careful calculation shows that the spectrum has a significant discrepancy with that of hydrogen when the energy is lower than -70 cm^-1. The effect of the quantum defect is also discussed for the Stark spectrum. It is found that the σ transition to the np states in an electric field has a similar hydrogen behavior due to the zero interaction with channel ns.

Key words: diamagnetic spectrum, quantum defect theory

中图分类号: (Zeeman and Stark effects)

32.60.+i

32.30.Jc (Visible and ultraviolet spectra) 31.15.-p (Calculations and mathematical techniques in atomic and molecular physics)

徐家坤, 陈海清, 刘红平. Exact quantum defect theory approach for lithium in magnetic fields[J]. 中国物理B, 2013, 22(1): 13204-013204.

Xu Jia-Kun (徐家坤), Chen Hai-Qing (陈海清), Liu Hong-Ping (刘红平). Exact quantum defect theory approach for lithium in magnetic fields[J]. Chin. Phys. B, 2013, 22(1): 13204-013204.

参考文献 34

[1]	Courtney M and Kleppner D 1996 Phys. Rev. A 53 178
[2]	Delande D 1991 Phys. Scripta T34 52
[3]	Monteiro T S and Wunner G 1990 Phys. Rev. Lett. 65 1100
[4]	Delande D and Gay J C 1986 Phys. Rev. Lett. 57 2006
[5]	Bouloufa N, Cacciani P, Delande D, Delsart C, Gay J C, Luc-Koenig E and Pinard J 1995 J. Phys. B 28 L755
[6]	Courtney M, Spellmeyer N, Jiao H and Kleppner D 1995 Phys. Rev. A 51 3604
[7]	Lu K T, Tomkins F S, Crosswhite H M and Crosswhite H 1978 Phys. Rev. Lett. 41 1034
[8]	Cacciani P, Luc-Koenig E, Pinard J, Thomas C and Liberman S 1986 Phys. Rev. Lett. 56 1467
[9]	Goy P, Liang J, Gross M and Haroche S 1986 Phys. Rev. A 34 2889
[10]	Cacciani P, Liberman S, Luc-Koenig E, Pinard J and Thomas C 1988 J. Phys. B 21 3523
[11]	Cacciani P, Liberman S, Luc-Koenig E, Pinard J and Thomas C 1988 J. Phys. B 21 3473
[12]	Cacciani P, Liberman S, Luc-Koenig E, Pinard J and Thomas C 1989 Phys. Rev. A 40 3026
[13]	Guan X X and Li B W 2001 Phys. Rev. A 63 043413
[14]	Liu S L, Zhang Q J, Zhao K, Song X H and Zhang Y H 2002 Chin. Phys. Lett. 19 29
[15]	Al-Hujaj O A and Schmelcher P 2004 Phys. Rev. A 70 033411
[16]	Starace A F 1973 J. Phys. B 6 585
[17]	Garton W R S and Tomkins F S 1969 Astro. Phys. J. 158 1219
[18]	Iu C h, Welch G, Kash M, Hsu L and Kleppner D 1989 Phys. Rev. Lett. 63 1133
[19]	O'Mahony P F and Mota-Furtado F 1991 Phys. Rev. Lett. 67 2283
[20]	Watanabe S and Komine H 1991 Phys. Rev. Lett. 67 3227
[21]	Edmonds A R 1973 J. Phys. B 6 1603
[22]	Garstang R H and Kemic S B 1974 Astrophys. Space Sci. 31 103
[23]	Li Y 2007 Theor. Chem. Acc. 117 163
[24]	Halley M H, Delande D and Taylor K T 1993 J. Phys. B 26 1775
[25]	Martin I, Karwowski J, Lavin C and Diercksen G H F 1991 Phys. Scripta 44 567
[26]	Martint I and Karwowski J 1991 J. Phys. B 24 1539
[27]	Menéndez J M, Martín I and Velasco A M 2003 J. Chem. Phys. 119 12926
[28]	Yang H F, Gao W, Quan W, Liu X J and Liu H P 2012 Phys. Rev. A 85 032508
[29]	Bachau H, Cormier E, Decleva P, Hansen J E and Martin F 2001 Rep. Prog. Phys. 64 1815
[30]	Shen L, Wang L, Liu X J, Shi T Y and Liu H P 2008 Chin. Phys. Lett. 25 1255
[31]	Cacciani P, Luc-Koenig E, Pinard J, Thomas C and Liberman S 1986 Phys. Rev. Lett. 56 1124
[32]	Goy P, Liang J, Gross M and Haroche S 1986 Phys. Rev. A 34 2889
[33]	Halley M H, Delande D and Taylor K T 1992 J. Phys. B 25 L525
[34]	Iu C H, Welch G R, Kash M M, Kleppner D, Delande D and Gay J C 1991 Phys. Rev. Lett. 66 145

Exact quantum defect theory approach for lithium in magnetic fields

Exact quantum defect theory approach for lithium in magnetic fields

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 34

相关文章 9

Metrics

本文评价

推荐阅读 0

[1]	杨海峰, 高伟, 成红, 刘红平. Spectral decomposition at complex laser polarization configuration[J]. 中国物理B, 2013, 22(5): 53201-053201.
[2]	李波, 刘红平. An effective quantum defect theory for the diamagnetic spectrum of barium Rydberg atom[J]. 中国物理B, 2013, 22(1): 13203-013203.
[3]	张正荣, 程新路, 刘子江, 杨建会, 李慧芳. Theoretical study on 2s2p⁶np Rydberg states of Cu¹⁹⁺ ion[J]. 中国物理B, 2012, 21(1): 13101-013101.
[4]	胡木宏, 王治文, 曾凡伟, 王涛, 王晶. Energy levels of 1s²nd (n ≤ 9) states for lithium-like ions[J]. 中国物理B, 2011, 20(8): 83101-083101.
[5]	由帅, 凤艳艳, 戴振文. Energy level analyses of even-parity J = 1 and 2 Rydberg states of Sn I by multichannel quantum defect theory[J]. 中国物理B, 2009, 18(6): 2229-2237.
[6]	仲银鹏, 贾凤东, 钟志萍. Theoretical analysis of ionic autoionization spectra of lanthanum via an intermediate state [Xe]5d6d ¹P₁[J]. 中国物理B, 2009, 18(10): 4242-4250.
[7]	贾凤东, 王京阳, 钟志萍. Relativistic multichannel treatment of autoionization Rydberg series of 4s² nf(n=4--23)J^π=(7/2)⁰ for scandium[J]. 中国物理B, 2008, 17(6): 2027-2032.
[8]	陈超, 王治文. Resonance calculations of d－f intervals for the lithium Rydberg states[J]. 中国物理B, 2005, 14(3): 505-510.
[9]	戴振文, 蒋红玫, 孙桂娟, 蒋占魁. Radiative lifetimes of Rydberg 6pnd J=2 states of Pb I by multichannel quantum defect theory[J]. 中国物理B, 2004, 13(6): 845-849.