NOBLE-GAS ATOMS IN A STATIC ELECTRIC FIELD. TRANSVERSE MOMENTUM DISTRIBUTION OF IONIZED ELECTRON

Authors

  • PHẠM NGUYỄN THÀNH VINH Trường Đại học Sư Phạm Tp. HCM

Abstract

The Siegert states of atom in a static electric field are the solutions to the stationary Schrödinger equation satisfying specific boundary conditions. All the observable quantities of the ionized electrons such as the ionization rate and the transverse momentum distribution in the outgoing flux can be expressed by the eigenvalue and eigenfunction of Siegert state, respectively. In this paper, we focus on studying the behavior of TMD of the ionized electron of the noble gas atoms in a uniform electric field as a function of field strength.
The comparison of the numerical results with the prediction of the weak-field asymptotic theory is also discussed.

References

Batishchev Pavel A., Tolstikhin Oleg I., and Morishita Toru, “Atomic Siegert states in an electric field: Transverse momentum distribution of the ionized electrons”, Physical Review A 82 (2010), 023416.

Corkum P. B., “Plasma perspective on strong field multiphoton ionization”, Physical Review Letters 71 (1993), 1994.

Green Alex E. S., Sellin D. L., and Zachor A. S., “Analytic Independent-Particle Model for Atoms”, Physical Review 184 (1969), 1.

Hamonou Linda, Morishita Toru, and Tolstikhin Oleg I., “Molecular Siegert states in an electric field”, Physical Review A 86 (2012), 013412.

Landau L. D. and Lifshiz E. M., “Quantum Mechanics (Non-relativistic Theory”, Pergamon Press, Oxford (1977).

Parr R. G. and Weitao Y., “Density-Functional Theory of Atoms and Molecules”, Oxford University Press, Oxford (1989).

Pham Vinh N. T., Tostikhin Oleg I., and Morishita Toru, “Molecular Siegert states in an electric field. II. Transverse momentum distribution of the ionized electrons”, Physical Review A 89 (2014), 033426.

Siegert A. J. F., “On the derivation of the Dispersion Formula for Nuclear Reactions”, Physical Review 56 (1939), 750.

Stodona A. S., Rouzee A., Lepine F., Cohen S., Robicheaux F., Gijsbertsen A., Jungmann J. H., Bordas C., and Vrakking M. J. J., Hydrogen Atoms under Magnification: Direction Observation of the Nodal Structure of Stark States”, Physical Review Letter 110 (2013), 213001.

Tolstikhin Oleg I., Morishita Toru, and Madsen L. B., “Theory of tunneling ionization of molecules: Weak-field asymptotics including dipole effects”, Physical Review A 84 (2011), 053423.

Tolstikhin Oleg I. and Morishita Toru, “Adiabatic theory of ionization by intense laser pulses: Finite-range potentials”, Physical Review A 86 (2012), 043417.

Trinh Vinh H., Tolstikhin Oleg I., Madsen L. B., and Morishita Toru, “First-order correction terms in the weak-field asymptotic theory of tunneling ionization”, Physical Review A 87 (2013), 043426.

Published

2015-09-08

Issue

Section

Journal of Natural Sciences