On the Kantorovich approach for calculations of the hydrogen atom states affected by a train of short pulses

O. Chuluunbaatar; A. A. Gusev; V. L. Derbov; M. S. Kaschiev; K. A. Kouzakov; V. V. Serov; V. N. Samoylov; T. V. Tupikova; S. I. Vinitsky

doi:10.1117/12.696846

8 August 2006 On the Kantorovich approach for calculations of the hydrogen atom states affected by a train of short pulses

O. Chuluunbaatar, A. A. Gusev, V. L. Derbov, M. S. Kaschiev, K. A. Kouzakov, V. V. Serov, V. N. Samoylov, T. V. Tupikova, S. I. Vinitsky

Author Affiliations +

Proceedings Volume 6165, Saratov Fall Meeting 2005: Laser Physics and Photonics, Spectroscopy and Molecular Modeling VI; 61650C (2006) https://doi.org/10.1117/12.696846
Event: Saratov Fall Meeting 2005, 2005, Saratov, Russian Federation

Abstract

We present theoretical calculations for the evolution of Zeeman states in a train of short electric half-cycle pulses (kicks). For the numerical solution of the corresponding time-dependent Schrodinger equation (TDSE) the high accuracy splitting scheme based on the unitary approximations of the evolution operator is developed. The finite element method is used for determining the spatial form of the solution. The efficiency and stability of the developed computational method is shown for 1D models in the cases of second-, forth-, and sixth-order accuracy with respect to the time step. Numerical calculations for the kicked hydrogen atom in the presence of magnetic field are performed using the scheme of the sixth-order accuracy with respect to a time step and both Galerkin and Kantorovich reductions of the problem with respect to the angular variables. For a particular choice of the electric- and magnetic-field parameters and the initial Zeeman state the corresponding results exhibit a two-state resonance picture.

Citation Download Citation

O. Chuluunbaatar, A. A. Gusev, V. L. Derbov, M. S. Kaschiev, K. A. Kouzakov, V. V. Serov, V. N. Samoylov, T. V. Tupikova, and S. I. Vinitsky "On the Kantorovich approach for calculations of the hydrogen atom states affected by a train of short pulses", Proc. SPIE 6165, Saratov Fall Meeting 2005: Laser Physics and Photonics, Spectroscopy and Molecular Modeling VI, 61650C (8 August 2006); https://doi.org/10.1117/12.696846

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available