Atomic Siegert states in an electric field: Transverse momentum distribution of the ionized electrons

Journal Article · Sun Aug 15 04:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.023416· OSTI ID:21448533

Batishchev, Pavel A ^[1]; Tolstikhin, Oleg I ^[2]; Morishita, Toru ^[3]

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1. Moscow Institute of Physics and Technology, Institutskaya Street 9, Dolgoprudnyi 141700 (Russian Federation)
2. Russian Research Center 'Kurchatov Institute', Kurchatov Square 1, Moscow 123182 (Russian Federation)
3. Department of Applied Physics and Chemistry, University of Electro-Communications, 1-5-1, Chofu-ga-oka, Chofu-shi, Tokyo (Japan)

The Siegert states of atoms in a static uniform electric field, defined as the solutions to the stationary Schroedinger equation satisfying the regularity and outgoing-wave boundary conditions, are discussed. An efficient method to calculate not only the complex energy eigenvalue, but also the eigenfunction for a general class of one-electron atomic potentials is introduced. An exact expression for the transverse momentum distribution of the ionized electrons in terms of the Siegert eigenfunction in the asymptotic region is derived. The method is illustrated by calculations of the energy, ionization width, and transverse momentum distribution as functions of the electric field for several lowest states of H, outer p shells of Ne, Ar, Kr, and Xe, and the active electron in H{sup -}. We also discuss the ionization of Ar by the pulse of a unidirectional time-dependent electric field, which illustrates the role of the Siegert states in the recently developed adiabatic theory of ionization of atoms by intense laser pulses [O. I. Tolstikhin et al., Phys. Rev. A 81, 033415 (2010)].

• OSTI ID: 21448533
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 82; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ANIONS
ASYMPTOTIC SOLUTIONS
ATOMS
BOUNDARY CONDITIONS
CHARGED PARTICLES
DIFFERENTIAL EQUATIONS
DISTRIBUTION
EIGENFUNCTIONS
EIGENVALUES
ELECTRIC FIELDS
ELECTRONS
ELEMENTARY PARTICLES
ELEMENTS
ENERGY LEVELS
EQUATIONS
FERMIONS
FLUIDS
FUNCTIONS
GASES
HYDROGEN IONS
HYDROGEN IONS 1 MINUS
IONIZATION
IONS
LEPTONS
LINEAR MOMENTUM
MATHEMATICAL SOLUTIONS
NONMETALS
PARTIAL DIFFERENTIAL EQUATIONS
POTENTIALS
PULSES
RARE GASES
SCHROEDINGER EQUATION
TIME DEPENDENCE
TRANSVERSE MOMENTUM
WAVE EQUATIONS