Lie algebraic approach to vibrational populations of diatomic molecules in infrared laser fields
Liu Fang, Wang Jun, Zhao Juan, Xu Yan, Meng Qing-Tian
College of Physics and Electronics, Shandong Normal University, Jinan 250014,China
Abstract In this paper, we study the vibrational populations of diatomic molecules in infrared fields using algebraic approach, and obtain the explicit analytical expression of the transition probability. The influences of frequency, intensity and pulse duration on the vibrational populations, which belong to, respectively, the ground state and the first excited state of vibration in NaCl and LiH molecular systems, are discussed.
Key words ：
Lie algebraic method
infrared field
vibrational populations
diatomic molecules
Received: 2010-05-04
Published: 2011-04-15
Cite this article:
Liu Fang,Wang Jun,Zhao Juan et al. Lie algebraic approach to vibrational populations of diatomic molecules in infrared laser fields. Acta Phys. Sin., 2011, 60(4): 040202.
URL:
http://wulixb.iphy.ac.cn/CN/Y2011/V60/I4/040202
[1] Winterfeldt C, Spielmann C, Gerber G 2008 Rev. Mod. Phys. 80 117
[2] Krausz F 2009 Rev. Mod. Phys. 81 163
[3] Zou S Y, Ren Q, Balint-Kurti G G, Manby F R 2006 Phys. Rev. Lett. 96 243003
[4] Balint-Kurti G G, Zou S Y, Brown A 2008 Adv. Chem. Phys. 138 43
[5] Coulter C A 1974 Phys. Rev. A 10 1946
[6] Chu S I, Telnov D A, 2004 Phys. Rep. 390 1
[7] Marques M A L, Gross E K U 2004 Annu. Rev. Phys. Chem. 55 427
[8] Meng Q T, Liu X G, Zhang Q G, Han K L 2005 Chem. Phys. 316 93
[9] Yue D G, Zheng X Y, Liu H, Wang C X, Meng Q T 2009 Chin. Phys. B 18 1479
[10] Masahiro Iwai, Levine R D 1990 Phys. Rev. A 42 3991
[11] Zheng Y J, Ding S L 1999 Chem. Phys. 247 225
[12] Zheng Y J, Ding S L 1999 Acta Phys. Sin. 48 438 (in Chinese) [郑雨军、丁世良 1999 物理学报48 438]
[13] Wang X Y, Ding S L 2004 Acta Phys. Sin. 53 423 (in Chinese) [王晓艳、丁世良 2004物理学报53 423]
[14] Meng Q T, Guan D R, Ding S L 2001 Chem. Phys. 265 113
[15] Meng Q T, Guan D R, Ding S L 2002 J. Mol. Struc. :Theochem. 582 61
[16] Liu Y, Zheng Y J, Ren W Y, Ding S L 2008 Phys. Rev. A 78 032523
[17] Feng H R, Li P, Zheng Y J, Ding S L 2010 Prog. Thero. Phys. 123 215
[18] Lü J Q, Zhang Z 2007 Chin. Phys.16 1280
[19] Liu C M, Wu R H, Fu J L 2007 Chin. Phys. 16 2665
[20] Yuan F, Ding S L 1996 Acta Phys. Sin. 45 20 (in Chinese) [袁 峰、丁世良 1996 物理学报 45 20]
[21] Feng H R, Liu Y, Zheng Y J, Ding S L, Reng W Y 2007 Phys. Rev. A 75 063417
[22] Hermann J Becher 1972 Angew. Chem. Int. Edit. 11 26
[23] Huang D H, Wang F H, Min J, Zhu Z H 2009 Acta Phys. Sin. 58 3052 (in Chinese) [黄多辉、 王藩候、闵 军、朱正和 2009 物理学报 58 3052]
[24] Frank A, Lemus R, Carvajal M, Jung C, Ziemniak E 1999 Chem. Phys. Lett. 308 91
[25] Levine R D 1983 Chem. Phys. Lett. 95 87
[26] Alhassid Y, Levine R D 1978 Phys. Rev. 18 89
[27] Alok Shulka 2000 Phys. Rev. B 61 13277
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