Unusually kicked dynamics: Hydrogen atom in a spherical box

• Authors: Dragoslav Mašović
• Languages of publication: EN

Abstracts

EN

In this paper we have examined the ionization of the ground state hydrogen atom in a spherical box with laser pulses of specific shapes. These shapes are predicted assuming correspondence under some conditions with the alternating kicking field. Unusually kicked dynamics is suggested. It is shown that such kicked dynamics leads to generalized Rabi oscillations with the positive energy states included and participation of the excited states. The correspondence with the real pulse is established emphasizing such unusually kicked dynamics. The approach is verified on the one-dimensional (1D) hydrogen atom and calculation of the known results for ionization probability.

Keywords

EN

ultrashort laser pulses; ionization; recombination; hydrogen atom in cavity

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2012
• Volume: 10
• Issue: 4
• Pages: 768-778

Dates

published

1 - 8 - 2012

online

17 - 7 - 2012

Contributors

author

Dragoslav Mašović

• Laboratory for Theoretical and Condensed Matter Physics, Institute for Nuclear Sciences Vinča, 11001, Belgrade, P.O.Box 522, Serbia

References

• [1] J. R. Sabin, E. J. Brandas (Eds.), Theory of Confined Quantum Systems, (Adv. Quantum Chem. 57, 2009)
• [2] Y. P. Varshni, J. Phys. B: At. Mol. Opt. Phys. 30, L589 (1997) http://dx.doi.org/10.1088/0953-4075/30/18/001[Crossref]
• [3] F. P.- Bernal, I. Martel, J. M. Arias, J. G.- Camacho, Phys. Rev. A 63, 052111 (2001) http://dx.doi.org/10.1103/PhysRevA.63.052111[Crossref]
• [4] S. Yoshida et al., Phys. Rev. A 58, 2229 (1998) http://dx.doi.org/10.1103/PhysRevA.58.2229[Crossref]
• [5] M. Rotenberg, Adv. At. Mol. Phys. 6, 233 (1970) http://dx.doi.org/10.1016/S0065-2199(08)60206-7[Crossref]
• [6] F. B. Dunning et al., Adv. At. Mol. Opt. Phys. 52, 49 (2005) http://dx.doi.org/10.1016/S1049-250X(05)52002-0[Crossref]
• [7] H. Wiedemann, J. Mostowski, F. Haake, Phys. Rev. A 49, 1171 (1994) http://dx.doi.org/10.1103/PhysRevA.49.1171[Crossref]
• [8] D. Dimitrovski, E. A. Solov’ev, J. S. Briggs, Phys. Rev. Lett. 93, 083003 (2004) http://dx.doi.org/10.1103/PhysRevLett.93.083003[Crossref]
• [9] C. Cohen-Tannoudji, B. Diu, F. Laloë, Quantum Mechanics (John Wiley and Sons, New York, 1977)
• [10] J. Zhang, T. Nakajima, Phys. Rev. A 75, 043403 (2007) http://dx.doi.org/10.1103/PhysRevA.75.043403[Crossref]
• [11] H. A. Bethe, E. E. Salpeter, Quantum Mechanics of One- and Two-Electron Atoms (Academic Press, New York, 1957)
• [12] A. R. Barnett, Com. Phys. Commun. 27, 147 (1982) http://dx.doi.org/10.1016/0010-4655(82)90070-4[Crossref]
• [13] L. -Y. Peng, Q. Gong, Com. Phys. Commun. 181, 2098 (2010) http://dx.doi.org/10.1016/j.cpc.2010.08.034[Crossref]
• [14] F. P. Bernal, I. Martel, J. M. Arias, J.G.- Camacho, Phys. Rev. A 67, 052108 (2003) http://dx.doi.org/10.1103/PhysRevA.67.052108[Crossref]
• [15] I. J. Thompson, In: F. W. J. Olver et al. (Eds.), NIST Handbook of Mathematical Functions, (Cambridge University Press, 2010)
• [16] M. Abramowitz, I. A. Stegun, Handbook of Mathematical Functions, (National Bureau of Standards, Washington, D.C., 1968)
• [17] J. S. Dehesa, F. D. Adame, E. R. Arriola, A. Zarzo, In: C. Brezinski et al. (Eds.), Orthogonal Polynomials and Their Applications, Proc. III International Symposium on Orthogonal Polynomials and Their Applications (June 1990, Erice, Italy)
• [18] H. A. Yamani, W. P. Reinhardt, Phys. Rev. A 11, 1145 (1975) http://dx.doi.org/10.1103/PhysRevA.11.1144[Crossref]
• [19] A. T. Stelbovics, J. Phys. B: At. Mol. Opt. Phys. 22, L159 (1989) http://dx.doi.org/10.1088/0953-4075/22/7/004[Crossref]
• [20] E. Bank, M. E. H. Ismail, Const. Approx. 1, 103 (1985) http://dx.doi.org/10.1007/BF01890025[Crossref]
• [21] I. M. Savukov, Phys. Rev. Lett. 96, 073202 (2006) http://dx.doi.org/10.1103/PhysRevLett.96.073202[Crossref]
• [22] M. van Faassen et al., Phys. Rev. Lett. 99, 043005 (2007) http://dx.doi.org/10.1103/PhysRevLett.99.043005[Crossref]
• [23] S. Geltman, J. Phys. B: At. Mol. Opt. Phys. 33, 1967 (2000) http://dx.doi.org/10.1088/0953-4075/33/10/310[Crossref]
• [24] J. P. Hansen, J. Lu, L. B. Madsen, H. M. Nilsen, Phys. Rev. A 64, 033418 (2001) http://dx.doi.org/10.1103/PhysRevA.64.033418[Crossref]
• [25] H. M. Nilsen, L. B. Madsen, J. P. Hansen, Phys. Rev. A 66, 025402 (2002) http://dx.doi.org/10.1103/PhysRevA.66.025402[Crossref]
• [26] W. Greiner, Quantum Mechanics. An Introduction, (Springer, Berlin, 1994) [WoS]
• [27] M. R. Hermann, J. A. Fleck, Phys. Rev. A 38, 6000 (1988) http://dx.doi.org/10.1103/PhysRevA.38.6000[Crossref]
• [28] L. B. Madsen, Phys. Rev. A 65, 053417 (2002) http://dx.doi.org/10.1103/PhysRevA.65.053417[Crossref]
• [29] A. M. Weiner, Rev. Sci. Instum. 71, 1929 (2000) http://dx.doi.org/10.1063/1.1150614[Crossref]
• [30] J. Javanainen, J. H. Eberly, Q. Su, Phys. Rev. A 38,3430 (1988) http://dx.doi.org/10.1103/PhysRevA.38.3430[Crossref]
• [31] X. -S. Liu et al., Int. J. Quantum Chem. 79, 343 (2000) http://dx.doi.org/10.1002/1097-461X(2000)79:6<343::AID-QUA2>3.0.CO;2-O[Crossref]

Identifiers

DOI

10.2478/s11534-012-0068-1