Numerical solution of the time-dependent Schr\"odinger equation for ${\mathrm{H}}_{2}^{+}$ ion with application to high-harmonic generation and above-threshold ionization

Numerical solution of the time-dependent Schrödinger equation for $H_{2}^{+}$ ion with application to high-harmonic generation and above-threshold ionization

B. Fetić and D. B. Milošević

Phys. Rev. E 95, 053309 – Published 31 May 2017

Abstract

Time evolution of the bound state of a molecular hydrogen cation in an intense, linearly polarized laser field is investigated by solving the full three-dimensional time-dependent Schrödinger equation. Our method is based on the Born-Oppenheimer and dipole approximations, and the wave function is expanded in finite series using B-spline functions and spherical harmonics in prolate spheroidal coordinates. After solving the stationary Schrödinger equation, the initial state is propagated under the influence of the laser field employing the Crank-Nicolson propagator. Using this method we calculate and present high-harmonic photon spectra and above-threshold ionization angle-resolved electron spectra.

Received 12 January 2017

DOI:https://doi.org/10.1103/PhysRevE.95.053309

Physics Subject Headings (PhySH)

Atomic & molecular processes in external fields Multiphoton or tunneling ionization & excitation

Atomic, Molecular & Optical

Authors & Affiliations

B. Fetić¹ and D. B. Milošević^1,2,3

¹Faculty of Science, University of Sarajevo, Zmaja od Bosne 35, 71000 Sarajevo, Bosnia and Herzegovina
²Academy of Sciences and Arts of Bosnia and Herzegovina, Bistrik 7, 71000 Sarajevo, Bosnia and Herzegovina
³Max-Born-Institut, Max-Born-Straße 2a, D-12489 Berlin, Germany

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Vol. 95, Iss. 5 — May 2017

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Physical Review E

covering statistical, nonlinear, biological, and soft matter physics

Numerical solution of the time-dependent Schrödinger equation for $H_{2}^{+}$ ion with application to high-harmonic generation and above-threshold ionization

B. Fetić and D. B. Milošević

Phys. Rev. E 95, 053309 – Published 31 May 2017

Abstract

Physics Subject Headings (PhySH)

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Physical Review E

covering statistical, nonlinear, biological, and soft matter physics

Numerical solution of the time-dependent Schrödinger equation for H2+ ion with application to high-harmonic generation and above-threshold ionization

B. Fetić and D. B. Milošević

Phys. Rev. E 95, 053309 – Published 31 May 2017

Abstract

Physics Subject Headings (PhySH)

Authors & Affiliations

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Numerical solution of the time-dependent Schrödinger equation for $H_{2}^{+}$ ion with application to high-harmonic generation and above-threshold ionization