Frapiccini, Ana Laura
[UCL]
Aliou Hamido
[UCL]
Mota-Furtado, Francisca
[Department of Mathematics, Royal Holloway, University of London, Egham, TW20 0EX Surrey, United Kingdom]
O'Mahony, Patrick F.
[Department of Mathematics, Royal Holloway, University of London, Egham, TW20 0EX Surrey, United Kingdom]
Piraux, Bernard
[UCL]
We present a detailed analysis of the time-scaled coordinate approach and its implementation for solving the time-dependent Schr¨odinger equation describing the interaction of atoms or molecules with radiation pulses.We investigate and discuss the performance of multiresolution schemes for the treatment of the squeezing around the origin of the bound part of the scaled wave packet. When the wave packet is expressed in terms of B splines, we consider two different types of breakpoint sequences: an exponential sequence with a constant density and an initially uniform sequence with a density of points around the origin that increases with time. These two multiresolution schemes are tested in the case of a one-dimensional Gaussian potential and for atomic hydrogen. In the latter case, we also use Sturmian functions to describe the scaled wave packet and discuss a multiresolution scheme which consists of working in a Sturmian basis characterized by a set of nonlinear parameters. Regarding the continuum part of the scaled wave packet, we show explicitly that, for large times, the group velocity of each ionized wave packet goes to zero while its dispersion is suppressed, thereby explaining why, eventually,the scaled wave packet associated with the ejected electrons becomes stationary. Finally, we show that only the lowest scaled bound states can be removed from the total scaled wave packet once the interaction with the pulse has ceased.
- Hamido Aliou, Eiglsperger Johannes, Madroñero Javier, Mota-Furtado Francisca, O’Mahony Patrick, Frapiccini Ana Laura, Piraux Bernard, Time scaling with efficient time-propagation techniques for atoms and molecules in pulsed radiation fields, 10.1103/physreva.84.013422
- Sidky E. Y., Esry B. D., Boundary-Free Propagation with the Time-Dependent Schrödinger Equation, 10.1103/physrevlett.85.5086
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- Daubechies Ingrid, Ten Lectures on Wavelets, ISBN:9780898712742, 10.1137/1.9781611970104
- de Boor Carl, A Practical Guide to Splines, ISBN:9780387903569, 10.1007/978-1-4612-6333-3
- Bachau H, Cormier E, Decleva P, Hansen J E, Martín F, Applications ofB-splines in atomic and molecular physics, 10.1088/0034-4885/64/12/205
- Cohen Elaine, Lyche Tom, Riesenfeld Richard, Discrete B-splines and subdivision techniques in computer-aided geometric design and computer graphics, 10.1016/0146-664x(80)90040-4
- Fatunla Simeon Ola, Numerical integrators for stiff and highly oscillatory differential equations, 10.1090/s0025-5718-1980-0559191-x
- Madroñero Javier, Piraux Bernard, Explicit time-propagation method to treat the dynamics of driven complex systems, 10.1103/physreva.80.033409
- Eiglsperger Johannes, Schönwetter Moritz, Piraux Bernard, Madroñero Javier, Spectral data for doubly excited states of helium with non-zero total angular momentum, 10.1016/j.adt.2011.11.003
- Foumouo Emmanuel, Kamta Gérard Lagmago, Edah Gaston, Piraux Bernard, Theory of multiphoton single and double ionization of two-electron atomic systems driven by short-wavelength electric fields: Anab initiotreatment, 10.1103/physreva.74.063409
- Malegat L, Bachau H, Hamido A, Piraux B, Analysing a two-electron wavepacket by semiclassically propagating its Fourier components in space, 10.1088/0953-4075/43/24/245601
- Grum-Grzhimailo Alexei N., Abeln Brant, Bartschat Klaus, Weflen Daniel, Urness Timothy, Ionization of atomic hydrogen in strong infrared laser fields, 10.1103/physreva.81.043408
Bibliographic reference |
Frapiccini, Ana Laura ; Aliou Hamido ; Mota-Furtado, Francisca ; O'Mahony, Patrick F. ; Piraux, Bernard. Multiresolution schemes for time-scaled propagation of wave packets. In: Physical review. A, Atomic, molecular, and optical physics, Vol. 91, no.4, p. 0434235 (2015) |
Permanent URL |
http://hdl.handle.net/2078.1/162130 |