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In this paper we propose the hyperbolic Schredinger equation (HS). The solution of the HS for a particle in a box is obtained. It is shown that for particles with m greater of Mp the energy spectrum is independent of the mass of particle.

General Physics · Physics 2009-12-31 M Kozlowski , J Marciak-Kozlowska , M Pelc

In this paper the modified Schrodinger equation for attosecond laser pulses interaction with "atoms" of human brain . i.e. neurons is developed and solved. Considering that the mass of the human neuron is of the order of Planck mass =10-5 g…

General Physics · Physics 2011-06-30 J. Marciak-Kozlowska , M. Kozlowski

We consider the modification of a single particle Schr\"{o}dinger equation by the inclusion of an additional gravitational self-potential term which follows from the prescription that the' mass-density'that enters this term is given by $m…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Vikram Soni

A general {\it ab-initio} and non-perturbative method to solve the time-dependent Schr\"odinger equation (TDSE) for the interaction of a strong attosecond laser pulse with a general atom, i.e., beyond the models of quasi-one-electron or…

Atomic Physics · Physics 2016-11-17 X. Guan , O. Zatsarinny , K. Bartschat , B. I. Schneider , J. Feist , C. J. Noble

With the generation of high order harmonics (HHG) on the plasma surface it is possible to turn the laser pulse into a train of attosecond or even zeptosecond pulses in the back radiation. These attosecond pulses may have amplitude several…

Plasma Physics · Physics 2015-12-17 Mykyta Cherednychek , Alexander Pukhov

In the paper the Schrodinger equation (SE) with gravity term is developed and discussed. It is shown that the modified SE is valid for particles with mass m<M_P, M_P is the Planck mass, and contains the part which, we argue describes the…

Quantum Physics · Physics 2007-05-23 Janina Marciak-Kozlowska , Miroslaw Kozlowski

We discuss a method of solving the time dependent Schrodinger equation for atoms with two active electrons in a strong laser field, which we used in a previous paper [A. Scrinzi and B. Piraux, Phys. Rev. A 56, R13 (1997)] to calculate…

Atomic Physics · Physics 2014-05-19 Armin Scrinzi , Bernard Piraux

We investigate the high harmonic generation (HHG) from solids by simulating the dynamics of a single active electron in periodic potentials. The corresponding time-dependent Schr\"odinger equations (TDSE) are solved numerically by using…

Atomic Physics · Physics 2016-03-31 Zhong Guan , Xiao-Xin Zhou , Xue-Bin Bian

With the high-order harmonic generation (HHG) from plasma sur- faces it is possible to turn a laser pulse into a train of attosecond or even zeptosecond pulses in the backward radiation. These attosecond pulses may have amplitude several…

Plasma Physics · Physics 2016-11-03 Mykyta Cherednychek , Alexander Pukhov

It is proposed that the Schrodinger equation for a free point particle has non-linear corrections which depend on the mass of the particle. It is assumed that the corrections become extremely small when the mass is much smaller or much…

General Relativity and Quantum Cosmology · Physics 2007-05-23 T. P. Singh

The interaction of a helium atom with intense short 800 nm laser pulse is studied theoretically beyond the single-active-electron approximation. For this purpose, the time-dependent Schr\"odinger equation for the two-electron wave packet…

Atomic and Molecular Clusters · Physics 2017-03-08 Anton N. Artemyev , Lorenz S. Cederbaum , Philipp V. Demekhin

The time-dependent Schr\"odinger equation for atomic hydrogen in few-cycle laser pulses is solved numerically. Introducing a positive definite quantum distribution function in energy-position space, a straightforward comparison of the…

Atomic Physics · Physics 2009-11-11 D. Bauer

High-order harmonic generation in multiphoton ionization regime is studied theoretically to examine the resonant effects of the generating particle. We solve the time-dependent Schr\"odinger equation for In+ in the laser field by expanding…

Atomic Physics · Physics 2023-12-12 Alexander I. Magunov , Vasily V. Strelkov

High-order harmonic generation (HHG) is investigated for H$_2^+$ and its isotopomers under seven- and ten-cycle trapezoidal laser pulses at 800 nm wavelength and $I$=4$\times 10^{14}$ W$/$cm$^2$ intensity. We solved numerically…

Atomic Physics · Physics 2016-03-03 H. Ahmadi , M. Vafaee , A. Maghari

We study numerically the interaction between an intense circularly polarized laser field and an electron moving in a potential which has a discrete cylindrical symmetry with respect to the laser pulse propagation direction. This setup…

Atomic Physics · Physics 2009-11-07 F. Ceccherini , D. Bauer

We show that high-order harmonics generated from molecules by intense laser pulses can be expressed as the product of a returning electron wave packet and the photo-recombination cross section (PRCS) where the electron wave packet can be…

Atomic Physics · Physics 2008-04-04 Anh-Thu Le , R. Della Picca , P. D. Fainstein , D. A. Telnov , M. Lein , C. D. Lin

This paper considers a main particle and an incident particle classical mechanics elastic collision preserving energy and momentum while ignoring the angular momentum, spin or other particle characteristics. The main result of the paper…

Statistical Mechanics · Physics 2021-05-07 Johan Beumee , Hershel Rabitz

Several gage-equivalent forms (including some novel ones) of the Schroedinger equation for a hydrogenlike atom in a time-dependent electric field of a laser pulse are presented. These forms allow to develop a perturbation theory for both…

Atomic Physics · Physics 2007-05-23 Yuri V. Popov , Konstantin A. Kouzakov

We develop an analytical model for ultraintense attosecond pulse emission in the highly relativistic laser-plasma interaction. In this model, the attosecond pulse is emitted by a strongly compressed electron layer around the instant when…

Plasma Physics · Physics 2019-01-30 Suo Tang , Naveen Kumar

Schrodinger equation for a charged particle interacting with the plane wave electromagnetic field is solved exactly. The exact analytic solution and the perturbative solution up to second order are compared.

Quantum Physics · Physics 2009-11-13 C. Yuce
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