Application of Coulomb wave function discrete variable representation to atomic systems in strong laser fields

We have calculated the energies of excited states for the He, Li, and Be atoms by the time dependent self-consistent Kohn Sham equation using the Coulomb Wave Function Discrete Variable Representation CWDVR) approach. The CWDVR approach was used the uniform and optimal spatial grid discretization to the solution of the Kohn-Sham equation for the excited states of atoms. Our results suggest that the CWDVR approach is an efficient and precise solutions of excited-state energies of atoms. We have shown that the calculated electronic energies of excited states for the He, Li, and Be atoms agree with the other researcher values.

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THE APPLICATION OF BESSEL DISCRETE VARIABLE REPRESENTATION TO ATOMIC HYDROGEN IN INTENSE LASER FIELDS

Journal of Theoretical and Computational Chemistry ◽

10.1142/s0219633607003477 ◽

2007 ◽

Vol 06 (04) ◽

pp. 823-831

Author(s):

KAI-JUN YUAN ◽

ZHIGANG SUN ◽

SHU-LIN CONG ◽

NANQUAN LOU

Keyword(s):

Atomic Hydrogen ◽

Intense Laser ◽

Discrete Variable ◽

Intense Laser Fields ◽

Discrete Variable Representation ◽

High Order Harmonic Generation ◽

Laser Fields ◽

Singular Terms ◽

High Order Harmonic ◽

Variable Representation

The Bessel discrete variable representation (DVR) method is tested to describe the interaction of atomic hydrogen with intense laser fields by numerically solving the time-dependent Schrödinger equation. Using the Bessel functions of the first kind, the singular terms, r-2 or r-1 at the origin, in the kinetic energy operators are analytically solved. As an illustration example, the high-order harmonic generation (HOHG) spectra in atomic hydrogen is calculated in length and acceleration forms. From the numerical results, it is concluded that this simple Bessel DVR may be a useful method for describing the interaction of atomic hydrogen with intense laser fields.

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Dissipative quantum systems in strong laser fields: Stochastic wave-function method and Floquet theory

Physical Review A ◽

10.1103/physreva.55.3101 ◽

1997 ◽

Vol 55 (4) ◽

pp. 3101-3116 ◽

Cited By ~ 35

Author(s):

Heinz-Peter Breuer ◽

Francesco Petruccione

Keyword(s):

Wave Function ◽

Function Method ◽

Floquet Theory ◽

Quantum Systems ◽

Laser Fields ◽

Strong Laser ◽

Strong Laser Fields ◽

Dissipative Quantum Systems

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STUDY OF ATOMIC SYSTEMS IN STRONG LASER FIELDS: SPECTRAL HIERARCHY, DYNAMICAL STABILISATION AND GENERATION OF ULTRA-SHORT VUV AND X-RAY PULSES

Sensor Electronics and Microsystem Technologies ◽

10.18524/1815-7459.2006.1.116891 ◽

2014 ◽

Vol 3 (1) ◽

pp. 29-35

Author(s):

A. V. Glushkov ◽

I. M. Shpinareva ◽

V. M. Ignatenko ◽

V. I. Gura

Keyword(s):

Laser Fields ◽

Atomic Systems ◽

X Ray ◽

Strong Laser ◽

Strong Laser Fields

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A QUANTUM-CLASSICAL APPROACH TO MOLECULAR DYNAMICS

Journal of Theoretical and Computational Chemistry ◽

10.1142/s021963360300032x ◽

2003 ◽

Vol 02 (01) ◽

pp. 73-90 ◽

Cited By ~ 1

Author(s):

G. D. BILLING

Keyword(s):

Wave Function ◽

Classical Mechanics ◽

Basis Set ◽

Discrete Variable ◽

Discrete Variable Representation ◽

Molecular Systems ◽

Order Expansion ◽

Classical Trajectories ◽

Grid Points ◽

Variable Representation

We present a new method for treating the dynamics of molecular systems. The method has been named "quantum dressed" classical mechanics and is based on an expansion of the wave function in a time-dependent basis-set, the Gauss–Hermite basis-set. From here it is possible to proceed in two ways, one is in principle exact and the other approximate. In the exact approach one constructs a discrete variable representation (DVR) in which the grid points are defined by the Hermite part of the Gauss–Hermite basis set. In the approximate method a second order expansion of the potential around the classical trajectories is introduced and the quantum dymamics solved in a second quantization rather than a wave-function representation.

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