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Journal ArticleDOI

Optimal gauge and gauge invariance in non-perturbative time-dependent calculation of above-threshold ionization

Eric Cormier, +1 more
- 14 May 1996 - 
- Vol. 29, Iss: 9, pp 1667-1680
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TLDR
In this article, the problem of the choice of the gauge in which to represent the electromagnetic field in the nonperturbative time-dependent study of the interaction of atoms with intense laser fields is discussed.
Abstract
We discuss the problem of the choice of the gauge in which to represent the electromagnetic field in the non-perturbative time-dependent study of the interaction of atoms with intense laser fields. Even though quantum mechanics is gauge invariant, the velocity gauge is more adopted then the length gauge for dynamical reasons. This property is even more severe when the problem is solved by expanding the wavefunction in spherical harmonics. The point is illustrated through the calculation of the above-threshold ionization photoelectron energy spectrum produced by atomic hydrogen under an intense laser pulse.

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Citations
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Journal ArticleDOI

Applications of B-splines in atomic and molecular physics

TL;DR: In this article, the main properties of B-spline basis sets and why they are useful to solve different problems in atomic and molecular physics are discussed and an extensive reference list of theoretical works that have made use of them up to 2000 is provided.
Book ChapterDOI

Study of the spatial and temporal coherence of high order harmonics

TL;DR: In this article, the authors apply the theory of high-order harmonic generation by low-frequency laser fields in the strong field approximation to the study of the spatial and temporal coherence properties of the harmonics.
Journal ArticleDOI

QPROP: A Schrödinger-solver for intense laser atom interaction

TL;DR: Qprop is developed to study laser–atom interaction in the nonperturbative regime where nonlinear phenomena such as above-threshold ionization, high order harmonic generation, and dynamic stabilization are known to occur by solving the time-dependent Schrodinger equation in three spatial dimensions.
Journal ArticleDOI

Non-dispersive wave packets in periodically driven quantum systems

TL;DR: In this article, it is shown that using the non-linear resonance between an internal frequency of a system and an external periodic driving, it is possible to overcome this spreading and build non-dispersive (or non-spreading) wave packets which are well localized and follow a classical periodic orbit without spreading.
Journal ArticleDOI

Strong-field approximation for intense-laser-atom processes: The choice of gauge

TL;DR: In this article, the strong field approximation (SFA) was applied in both length gauge and velocity gauge with quantitatively conflicting answers for ionization of negative ions with a ground state of odd parity.
References
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Book

A practical guide to splines

Carl de Boor
TL;DR: This book presents those parts of the theory which are especially useful in calculations and stresses the representation of splines as linear combinations of B-splines as well as specific approximation methods, interpolation, smoothing and least-squares approximation, the solution of an ordinary differential equation by collocation, curve fitting, and surface fitting.
Journal ArticleDOI

Plateau in above threshold ionization spectra.

TL;DR: All rare gas atoms investigated show similar behavior, indicating that the plateau in above threshold ionization is a universal phenomenon.
Journal ArticleDOI

Intensity-dependent scattering rings in high order above-threshold ionization

TL;DR: Angular distributions of high energy photoelectrons from Xe and Kr, excited by a 50 ps, 1.05 m laser, are presented and it is concluded that the rings result from single-electron ionization dynamics, most likely involving rescattering from the ion core of the tunneling component of the continuum wave function.
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