Electron – hydrogen atom collision in the presence of a circularly polarized laser field

1979 ◽  
Vol 57 (11) ◽  
pp. 1886-1889 ◽  
Author(s):  
H. G. P. Lins de Barros ◽  
H. S. Brandi
Keyword(s):  
Electromagnetic Field ◽  
Hydrogen Atom ◽  
Cross Section ◽  
Laser Field ◽  
Excitation Cross Section ◽  
Scattering Amplitude ◽  
Circularly Polarized ◽  
Field Polarization ◽  
Oppenheimer Approximation ◽  
Atom Collision

Electron–hydrogen collision in the presence of a circularly polarized laser field is studied within a formalism based in an appropriate space-translations transformation and the Green's function formalism. The Born–Oppenheimer approximation for the scattering amplitude is obtained and the dependence of the differential and total excitation cross section on the electromagnetic field polarization is studied.

scholarly journals Free Scattering Theory in Circularly Polarized Laser Field

2017 ◽  
Vol 4 (1) ◽  
pp. 78
Author(s):  
Kishori Yadav ◽  
Jeevan Jyoti Nakarmi ◽  
Sanam Maharjan
Keyword(s):  
Kinetic Energy ◽  
Cross Section ◽  
Laser Field ◽  
Scattering Amplitude ◽  
Scattering Cross Section ◽  
Hydrogen Atoms ◽  
Circularly Polarized ◽  
Differential Scattering Cross Section ◽  
Scattering Cross ◽  
Elastic Scattering Amplitude

<p class="Default">In the present study, we have investigated scattering of an electron by hydrogen atoms in the presence of the Circularly Polarized (CP) laser field. We have discussed the polarization effect of laser field on hydrogen atom and effect of the resulted polarized potential on differential scattering cross section is studied. We assumed the scattered electrons having kinetic energy 100 eV because it permitted to treat the scattering process in first order Born Approximation. The scattering electron was described by Volkov wave function. We found the differential scattering cross section decreases with the increase in scattering angle, for a fixed value of a laser parameters and kinetic energy of an incident electron. From this study we found that, the differential scattering cross section for the electric field perpendicular to the direction of momentum transfer depends on the elastic scattering amplitude. Finally, we concluded that the differential scattering cross section greatly depends upon the polarization of the laser field.</p><p><strong>Journal of Nepal Physical Society</strong><br />Volume 4, Issue 1, February 2017, Page: 78-87</p>

scholarly journals Elliptically polarized laser assisted elastic electron-hydrogen atom collision and differential scattering cross-section

2020 ◽  
pp. 93-102
Author(s):  
Kishori Yadav ◽  
S.P. Gupta ◽  
J.J. Nakarmi
Keyword(s):  
Hydrogen Atom ◽  
Kinetic Energy ◽  
Cross Section ◽  
Laser Field ◽  
High Energy ◽  
Scattering Cross Section ◽  
Hydrogen Atoms ◽  
Differential Scattering Cross Section ◽  
Scattering Cross ◽  
Cross Section Area

In the present study, we have investigated scattering of an electron by hydrogen atoms in the presence of the elliptical polarized laser field. We have discussed the polarization effect of laser field on hydrogen atom and effect of the resulted polarized potential on differential scattering cross-section is studied. We assume the scattered electrons having kinetic energy (~3000 eV) and laser field of moderate field strength because it is permitted to treat the scattering process in first Born approximation and the scattering electron was described by Volkov wave function. We found that the differential scattering cross-section area increases with the increase of the kinetic energy of the incident electron and there is no effect of changing the value of polarizing angle on the differential cross-section with kinetic energy. We observed that differential scattering cross-section in elliptical polarization in the high energy region depends upon the laser intensity and the incident energy for a linearly polarized field.

Relativistic elastic scattering of hydrogen atom by positron impact in a circularly polarized laser field

2013 ◽  
Vol 91 (9) ◽  
pp. 696-702 ◽  
Author(s):  
B. Manaut ◽  
S. Taj ◽  
M. El Idrissi
Keyword(s):  
New York ◽  
Elastic Scattering ◽  
Hydrogen Atom ◽  
Cross Sections ◽  
Differential Cross ◽  
Quantum Electrodynamics ◽  
Laser Field ◽  
Differential Cross Sections ◽  
Positron Impact ◽  
Circularly Polarized

In the framework of the first Born approximation and using the Dirac–Volkov formalism, we investigate the relativistic model describing the laser assisted elastic differential cross sections (DCSs) for positron scattering by the hydrogen atom. Both the DCSs for electron and positron are notably modified by the circularly polarized laser field, particularly in the regime of high energies and medium intensities. Comparing the two numerical DCSs, we recover the well-known result that the elastic scattering differential cross sections with and without laser field for a hydrogen atom by electron and positron impact are the same (Greiner and Reinhardt. Quantum Electrodynamics, 2nd ed., Springer Verlag, New York, Berlin, Heidelberg. 1994). The numerical results reveal that the differential cross section for positron – hydrogen atom scattering is significantly reduced with the increase of the electric field strength.

The classical equations of motion of an electron

1946 ◽  
Vol 42 (3) ◽  
pp. 278-286 ◽  
Author(s):  
C. Jayaratnam Eliezer
Keyword(s):  
Electromagnetic Field ◽  
Angular Momentum ◽  
Hydrogen Atom ◽  
Cross Section ◽  
Equations Of Motion ◽  
Conservation Of Energy ◽  
Scattering Of Light ◽  
Dirac Equations ◽  
Symmetrical Form ◽  
Usual Scheme

A set of relativistic classical motions of a radiating electron in an electromagnetic field are derived from the principle of conservation of energy, momentum and angular momentum. It is shown that these equations lead to results more in harmony with the usual scheme of mechanics than do the Lorentz-Dirac equations. When applied to discuss the motion of the electron of the hydrogen atom, these equations permit the electron falling into the nucleus, whereas the Lorentz-Dirac equations do not allow this. When applied to consider the motion of an electron which is disturbed by a pulse of radiation, the solution is in a more symmetrical form. For scattering of light of frequency ν the expression for the scattering cross-section is found to be the same as the classical Thomson formula for small ν, and to vary as ν−4 for large ν.

Ionization of atomic hydrogen by electron impact

1965 ◽  
Vol 283 (1393) ◽  
pp. 262-290 ◽  
Keyword(s):  
Cross Section ◽  
Born Approximation ◽  
Scattering Amplitude ◽  
Asymptotic Region ◽  
Alternative Form ◽  
Total Potential ◽  
Oppenheimer Approximation ◽  
The Cross ◽  
Threshold Laws ◽  
Coulomb Potentials

The ionization problem is first formulated on the assumption of short-range potentials, particular attention being paid to the treatment of electron exchange. For the case of Coulomb potentials, the asymptotic form of the wave function is obtained for positive total energy and for zero energy. An exact integral expression is obtained for the scattering amplitude, and threshold laws are deduced. At threshold, the differential cross-section tends to a finite value for the case in which the total potential energy is negative in the asymptotic region. The total cross-section varies near threshold as a linear function of energy. Results of three experimental determinations of the cross-section are discussed. A number of calculations are made, all in the approximation of using a plane wave for the incident electron. The cross-section expression which has usually been employed in Born approximation ionization calculations is correct when the two electrons have opposite spins. An alternative form of the Born approximation for ionization, which is more closely analogous to that used for excitation, is shown to give improved results. The Born–Oppenheimer approximation gives poor results, but allowance for exchange in other approximations gives an improvement in the agreement with experiment.

Electron—hydrogen-atom collisions in the presence of a laser field: Born-Oppenheimer approximation

1979 ◽  
Vol 19 (3) ◽  
pp. 1058-1061 ◽  
Author(s):  
H. S. Brandi ◽  
Belita Koiller ◽  
H. G. P. Lins de Barros
Keyword(s):  
Hydrogen Atom ◽  
Laser Field ◽  
Oppenheimer Approximation
Sign in / Sign up

Export Citation Format

Share Document