Photodissociation of Ar2+ in strong laser fields

Schwendner, Peter; Seyl, Frank; Schinke, Reinhard

doi:10.1016/s0301-0104(97)00045-1

Cited by 24 publications

(11 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…When molecules are subjected to an intense laser field, some interesting effects, such as saturation, AC Stark effect, and above threshold dissociation, etc., may appear [1,2]. These side effects are induced by the light-matter interaction (LMI), which has received much attention from many researchers both theoretically and experimentally in the past few years [3][4][5].…”

Section: Introductionmentioning

confidence: 99%

Time-dependent wavepacket approach to the influence of intense fields on the population of molecular excited states

et al. 2005

View full text Add to dashboard Cite

Section: Introductionmentioning

confidence: 99%

Time-dependent wavepacket approach to the influence of intense fields on the population of molecular excited states

et al. 2005

View full text Add to dashboard Cite

“…The matrix exponential can efficiently be computed using Strang splitting [16] which is also known as split operator. Let e = (e n ) 0≤n≤N be a discrete representation of the pulse.…”

Section: Discretization Of the Schrödinger Equationmentioning

confidence: 99%

A Fourier-Coefficient Based Solution of an Optimal Control Problem in Quantum Chemistry

Kormann

Holmgren

Karlsson

2010

J Optim Theory Appl

View full text Add to dashboard Cite

We consider an optimal control problem for the time-dependent Schrödinger equation modeling molecular dynamics. Given a molecule in its ground state, the interaction with a tuned laser pulse can result in an excitation to a state of interest. By these means, one can optimize the yield of chemical reactions. The problem of designing an optimal laser pulse can be posed as an optimal control problem. We reformulate the optimization problem by Fourier-transforming the electric field of the laser and narrow the frequency band. In this way, we reduce the dimensionality of the control variable. This allows for storing an approximate Hessian and, thereby, we can solve the optimization problem with a quasi-Newton method. Such an implementation provides superlinear convergence. We show computational results for a Raman-transition example and give numerical evidence that our algorithm can outperform the standard Krotovlike method which does not employ approximative second derivatives.

show abstract

“…In order to propagate the vibrational wavepacket using the split operator method and coupled potential energy surfaces, the potential matrix of the Hamiltonian must be diagonalised. Here we apply a procedure which reduces to a simple matrix multiplication without numerical matrix diagonalisation [32]. The time step in this study is set to 0.1 fs which is sufficient to obtain converged results.…”

Section: Computational Aspectsmentioning

confidence: 99%

Molecular dynamics and control following excitation with an ultra-short intense laser pulse

Lou

Nyman

2005

Chemical Physics

View full text Add to dashboard Cite

Photodissociation of Ar2+ in strong laser fields

Cited by 24 publications

References 20 publications

Time-dependent wavepacket approach to the influence of intense fields on the population of molecular excited states

Time-dependent wavepacket approach to the influence of intense fields on the population of molecular excited states

A Fourier-Coefficient Based Solution of an Optimal Control Problem in Quantum Chemistry

Molecular dynamics and control following excitation with an ultra-short intense laser pulse

Contact Info

Product

Resources

About