| ATOMIC AND MOLECULAR PHYSICS |
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Dynamics of a Rydberg Hydrogen Atom in a Generalized van der Waals Potential and a Magnetic Field |
| WANG De-Hua |
| College of Physics, Ludong University, Yantai 264025 |
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| Cite this article: |
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WANG De-Hua 2010 Chin. Phys. Lett. 27 023201 |
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Abstract The classical dynamics of a Rydberg hydrogen atom in a generalized van der Waals potential plus a magnetic field is investigated by using the Poincaré surface of section and phase space trajectories method. The dynamical character of this system depends sensitively on the magnetic field strength. The numerical calculations show that for a certain van der Waals potential, its classical dynamics is regular without the external magnetic field. However, with the addition of the external magnetic field, the dynamical property of the Rydberg hydrogen atom begins to change. With the increase of the magnetic field strength, order-chaos-order-chaos types of transition regions are observed for the hydrogen atom. As the magnetic field strength is very large, nearly all the phase space trajectories are chaotic. Under this condition, only chaotic motion appears. This is caused by the diamagnetic Zeeman effect. Our study provides a different perspective on the dynamical behavior of the Rydberg atom in the van der Waals potential and magnetic field.
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| Keywords:
32.60.+
03.65.-w
05.45.-a
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Received: 21 September 2009
Published: 08 February 2010
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[1] Koch P M et al 1995 Phys. Rep. 255 290
[2] Wang D H et al 2009 Chin. Phys. Lett. 26 093201
[3] Du M L and Delos J B 1988 Phys. Rev. A 38 1896
[4] H\"upper B et al 1996 Phys. Rev. A 53 744
[5] Simonovic N S 1997 J. Phys. B: At. Mol Opt. Phys. 30 L613
[6] Ganesan K and Taylor K T 1996 J. Phys. B: At. Mol. Opt. Phys. 29 1293
[7] Salas J P and Simonovic N S 2000 J. Phys. B: At. Mol. Opt. Phys. 33 291
[8] Wang D H, Du M L and Lin S L 2006 J. Phys. B: At. Mol. Opt. Phys. 39 3529
[9] I\~{narrea M et al 2007 Phys. Rev. A 76 052903
[10] Landragin A et al 1996 Phys. Rev. Lett. 77 146
[11]Alhassid Y et al 1987 Phys. Rev. Lett. 59 1545
[12] Ganesan K and Lakshmanan M 1990 Phys. Rev. A 42 3940
[13]Farrelly D and Howard J E 1993 Phys. Rev. A 48 851
[14] I\~{narrea M and Salas J P 2002 Phys. Rev. E 66 056614
[15] Beims M W and Gallas J A C 2000 Phys. Rev. A 62 043410
[16] Dando P A et al 1996 Phys. Rev. A 54 127
[17]Ablowitz M J et al 1980 J. Math. Phys. 21 715
[18] Friedrich H and Wintgen D 1989 Phys. Rep. 183 37 |
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