Hydrogen Atom in Strong Elliptically Polarized Laser Fields within
Discrete-Variable Representation
- URL: http://arxiv.org/abs/2111.06588v2
- Date: Fri, 9 Dec 2022 11:03:45 GMT
- Title: Hydrogen Atom in Strong Elliptically Polarized Laser Fields within
Discrete-Variable Representation
- Authors: S. Shadmehri and V. S. Melezhik
- Abstract summary: The nondirect product discrete representation (npDVR) is developed for the time-dependent Schr"odinger equation with nonseparable angular variables.
We have investigated the dynamics of a hydrogen atom initially in its ground state in elliptically polarized laser fields.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The nondirect product discrete variable representation (npDVR) is developed
for the time-dependent Schr\"odinger equation with nonseparable angular
variables and is applied to a hydrogen atom in elliptically polarized strong
laser fields. The 2D npDVR is constructed on spherical harmonics orthogonalized
on the 2D angular grids of the Popov and Lebedev 2D cubatures for the unit
sphere. With this approach we have investigated the dynamics of a hydrogen atom
initially in its ground state in elliptically polarized laser fields with the
intensity up to $I=10^{14}$ W/{cm}$^2$ and wavelength of $\lambda=800$ nm. For
these parameters of the laser field and the entire range of ellipticity
variation, we have calculated the total excitation and ionization yields of the
atom. The performed analysis of the method convergence shows that the achieved
accuracy of our calculations significantly exceeds the accuracy of recent works
of other authors relevant to the problem, due to the high efficiency of the 2D
npDVR in approximating the angular part of the 3D time-dependent Schr\"odinger
equation. We also propose a new simple procedure for infinite summation of the
transition probabilities to the bound states of the hydrogen atom in
calculating the total excitation yield and prove its accuracy by comparison
with conventional methods. The obtained results show the potential prospects of
the 2D npDVR for investigating atomic dynamics in stronger laser fields.
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