Analytical solution of the Schrödinger equation in the sudden perturbation approximation for an atom by attosecond and shorter electromagnetic pulses

Макаров, Д. Н.; Matveev, V. I.

doi:10.1134/s0021364016060060

Cited by 16 publications

(7 citation statements)

References 24 publications

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“…The interaction of such fields with matter could be studied more fundamentally if the wavefunction of an atomic or molecular electron in such fields were obtained. Below, we discuss in more detail a solution obtained in [79] (see also [82]). This solution has the form of an analytical wavefunction and is applicable for X-ray USPs with almost any intensity.…”

Section: Wavefunction Of An Atomic Electron In the Field Of Ultrashort Pulsesmentioning

confidence: 99%

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Diagnostics of Nanosystems with the Use of Ultrashort X-Ray Pulses: Theory and Experiment (Brief Review)

2021

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X-ray diffraction analysis is one of the famous widely used methods to study the structure of matter. It is well known that the scattering of ultrashort X-ray pulses can be used in X-ray diffraction analysis. The scattering of such pulses by various multiatomic objects and nanosystems leads to diffraction patterns carrying information not only on the structure of an object but also on the dynamics of processes in this object. Currently, it is technically possible to fabricate intense sources of femto-and attosecond pulses. New theories including the specificity of the interaction of such pulses with matter are not necessarily applied in the X-ray diffraction analysis involving ultrashort pulses. The inclusion of this specificity should lead to a better use of capabilities of sources of ultrashort pulses and to new scientific results. Sources of X-ray ultrashort pulses, widely used methods and new theories of the X-ray diffraction analysis including the specificity of the interaction of such pulses with matter, and modern experiments involving ultrashort pulses are briefly reviewed here.

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Section: Wavefunction Of An Atomic Electron In the Field Of Ultrashort Pulsesmentioning

confidence: 99%

“…The wavefunction ( 6) is the well-known solution of the Schrödinger equation in the sudden perturbation approximation, which was used in many theoretical works, e.g., [82,[87][88][89][90][91][92][93][94].…”

Section: Wavefunction Of An Atomic Electron In the Field Of Ultrashort Pulsesmentioning

confidence: 99%

Diagnostics of Nanosystems with the Use of Ultrashort X-Ray Pulses: Theory and Experiment (Brief Review)

2021

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“…The description of the interaction of an atomic electron in the sudden perturbation approximation implies that the electron is free during the action of the field of the pulse; consequently, the absorption of laser radiation in vacuum is significantly nonlinear with respect to the field. The exact solution obtained in [11] makes it possible to calculate such effects. …”

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confidence: 99%

“…The possibilities of generation of pulses much shorter than attosecond ones are actively discussed (see, e.g., [9,10]). The exact solution of the Schrödinger equation in the sudden perturbation approximation for the interaction of attosecond and shorter electromagnetic pulses with multielectron atoms has been obtained in [11]. It is usually accepted [12] that the integral of the electric field strength of a laser source in vacuum with respect to time is zero.…”

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confidence: 99%

“…In this work, a method for calculating inelastic processes and spectra of reemission of extremely short electromagnetic pulses by atoms is developed on the basis of the exact solution of the Schrödinger equation in the sudden perturbation approximation obtained in [11]. In the cases under consideration, it is assumed that the duration of such pulses is much shorter than the characteristic atomic time.…”

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Reemission spectra and inelastic processes at interaction of attosecond and shorter duration electromagnetic pulses with atoms

Макаров

Matveev

2016

EPJ Web Conf.

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Abstract. Inelastic processes and the reemission of attosecond and shorter electromagnetic pulses by atoms have been considered within the analytical solution of the Schrödinger equation in the sudden perturbation approximation. A method of calculations with the exact inclusion of spatial inhomogeneity of the field of an ultrashort pulse and the momenta of photons in the reemission processes has been developed. The probabilities of inelastic processes and spectra of reemission of ultrashort electromagnetic pulses by one-and many-electron atoms have been calculated. The results have been presented in the form of analytical formulas.Progress currently achieved in the methods of generation of short and ultrashort electromagnetic pulses has allowed overcoming the "femtosecond limit" and obtaining pulses with a duration of several tens of attoseconds. As a result, attosecond physics appeared (see, e.g., reviews [1][2][3][4][5]) and it became possible to observe atomic phenomena on a real time scale. The processes accompanying the interaction of ultrashort pulses with atoms are usually described within the following approaches. For pulses shorter than the characteristic atomic time, but longer than attosecond pulses, it is appropriate to use approaches based on the Magnus expansion for the evolution operator. Only the first several terms in the expansion of the evolution operator [6] are currently used in calculations. In these calculations, the field of the pulse is assumed to be spatially uniform at the dimensions of a target [7,8]. The sudden perturbation approximation is appropriate for attosecond and shorter pulses. The possibilities of generation of pulses much shorter than attosecond ones are actively discussed (see, e.g., [9,10]). The exact solution of the Schrödinger equation in the sudden perturbation approximation for the interaction of attosecond and shorter electromagnetic pulses with multielectron atoms has been obtained in [11]. It is usually accepted [12] that the integral of the electric field strength of a laser source in vacuum with respect to time is zero. The description of the interaction of an atomic electron in the sudden perturbation approximation implies that the electron is free during the action of the field of the pulse; consequently, the absorption of laser radiation in vacuum is significantly nonlinear with respect to the field. The exact solution obtained in [11] makes it possible to calculate such effects.

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Interaction of the attosecond pulse of the electromagnetic field with atomic anions

Goshev¹,

Макаров²,

Есеев³

2020

The 2nd International Conference on Physical Instrumentation and Advanced Materials 2019

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Analytical solution of the Schrödinger equation in the sudden perturbation approximation for an atom by attosecond and shorter electromagnetic pulses

Cited by 16 publications

References 24 publications

Diagnostics of Nanosystems with the Use of Ultrashort X-Ray Pulses: Theory and Experiment (Brief Review)

Diagnostics of Nanosystems with the Use of Ultrashort X-Ray Pulses: Theory and Experiment (Brief Review)

Reemission spectra and inelastic processes at interaction of attosecond and shorter duration electromagnetic pulses with atoms

Interaction of the attosecond pulse of the electromagnetic field with atomic anions

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