Abstract
The temporal dynamics of the three-dimensional hydrogen atom under the action of an external electric field is studied by using an analytic model and a numerical simulation. In the stationary case, analytic expressions for determining the evolution of angular momentum L of the Rydberg electron (RE) are obtained and significant oscillations of L are noted. Under conditions of the dynamical chaos regime stimulated by a linearly polarized microwave field, additional specific features of the evolution of L are found with the help of unification of the equations of motion and numerical calculations. The role of L in the formation of diffusion ionization of the RE is revealed.
Similar content being viewed by others
References
G. M. Zaslavskii’ and R. Z. Sagdeev, Introduction to Nonlinear Physics (Nauka, Moscow, 1988) [in Russian].
G. M. Zaslavskii, R. Z. Sagdeev, D. A. Usikov, and A. A. Chernikov, Weak Chaos and Quasi-Regular Structures (Nauka, Moscow, 1991) [in Russian].
A. L. Belov and V. P. Krainov, Zh. Eksp. Teor. Fiz. 92, 456 (1987).
A. S. Roshchupkin and V. P. Krainov, Zh. Eksp. Teor. Fiz. 114, 37 (1998).
N. N. Bezuglov, V. M. Borodin, A. Ekers, and A. N. Klyucharev, Opt. Spectrosc. 93(5), 661 (2002).
V. P. Krainov, JETP 111, 171 (2010).
C. Bracher, T. Kramer, and J. B. Delos, Phys. Rev. A 73, 062114 (2006).
K. A. Mitchell and J. P. Handlay, et al., Phys. Rev. A 70, 043407 (2004).
M. Yu. Zakharov, N. N. Bezuglov, A. N. Klyucharev, et al., Khim. Fiz. 30, 2 (2011).
E. I. Dashevskaya, I. Litvin, E. E. Nikitin, et al., Phys. Chem. Chem. Phys. 4, 3330 (2002).
K. Miculis, I. I. Beterov, N. N. Bezuglov, et al., J. Phys. B: At. Mol. Opt. Phys. 38, 1811 (2005).
A. A. Ishkhanyan and V. P. Krainov, JETP 113, 407 (2011).
N. B. Delone, V. P. Krainov, and D. L. Shepelyanskii, Usp. Fiz. Nauk 140, 335 (1983).
D. U. Matrasulov, Phys. Rev. A. 60, 700 (1999).
V. I. Arnol’d, Mathematical Methods of Classical Mechanics (Springer-Verlag, 1989).
L. D. Landau and E. M. Lifshits, Mechanics (Pergamon Press, New York, 1969).
B. Kaulakys and G. Vilutis, Phys. Scr. 59, 251 (1999).
M. Alaburda, V. Gontis, and B. Kaulakys, Interaction and Chaotic Dynamics of the Classical Hydrogen Atom in an Electromagnetic Field // arXiv:, 1001.0689v1[nlin.CD].
E. Hairer, Numerical Geometric Integration (Universite de Geneve, Geneve, 1999).
D. K. Efimov, N. N. Bezuglov, A. N. Klyucharev, et al., Opt. Spectrosc. 117, 8 (2014).
G. S. Balaraman and D. Vrinceanu, Phys. Lett. A 369, 188 (2007).
S. -I. Chua and D. A. Telnov, Phys. Rev. 390, 1.
L. D. Landau and E. M. Lifshits, Quantum Mechanics: Non-relativistic Theory (Pergamon Press, New York, 1977).
V. S. Lisitsa, Usp. Fiz. Nauk 153, 379 (1987).
N. B. Delone and V. P. Krainov, Nonlinear Ionization of Atoms by Laser Radiation (Fizmatgiz, Moscow, 2001) [in Russian].
G. V. Golubkov and A. Z. Devdariani, Khim. Fiz. No. 11, 31 (2011).
L. Moorman and D. Richards, Phys. Rev. Lett. 68, 468 (1992).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © D.K. Efimov, N.N. Bezuglov, A.N. Klyucharev, K. Miculis, 2014, published in Optika i Spektroskopiya, 2014, Vol. 117, No. 6, pp. 888–895.
Rights and permissions
About this article
Cite this article
Efimov, D.K., Bezuglov, N.N., Klyucharev, A.N. et al. On the applicability of the one-dimensional model of diffusion ionization to the three-dimensional Rydberg hydrogen atom in a microwave field. Opt. Spectrosc. 117, 861–868 (2014). https://doi.org/10.1134/S0030400X14120066
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0030400X14120066