Author
A Steiger
Bio: A Steiger is an academic researcher from Lawrence Livermore National Laboratory. The author has contributed to research in topics: Wave function & Eigenfunction. The author has an hindex of 1, co-authored 1 publications receiving 2487 citations.
Papers
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TL;DR: In this paper, the spectral properties of solutions to the time-dependent Schrodinger equation were used to determine the eigenvalues and eigenfunctions of the Schrodings equation.
2,646 citations
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TL;DR: In this article, a review of the multiconfiguration time-dependent Hartree (MCTDH) method for propagating wavepackets is given, and the formal derivation, numerical implementation, and performance of the method are detailed.
2,053 citations
TL;DR: In this paper, a new propagation scheme for the time dependent Schrodinger equation is based on a Chebychev polynomial expansion of the evolution operator U =exp(−iHt) combined with the Fourier method for calculating the Hamiltonian operation.
Abstract: A new propagation scheme for the time dependent Schrodinger equation is based on a Chebychev polynomial expansion of the evolution operator U=exp(−iHt). Combined with the Fourier method for calculating the Hamiltonian operation the scheme is not only extremely accurate but is up to six times more efficient than the presently used second order differencing propagation scheme.
1,329 citations
TL;DR: In this paper, a comparison of three widely used time propagation algorithms for the time dependent Schrodinger equation is described, and a new method is introduced which is based upon a low-order Lanczos technique.
860 citations
TL;DR: In this paper, a systematic derivation of absorbing boundary conditions which can be used in a wide class of wave equations is presented, including the Schrodinger equation and acoustic equation in one and two dimensions.
659 citations
TL;DR: In this article, the authors review the phenonomena which occur in multiphoton physics when the electric field of the applied laser radiation becomes comparable with the Coulomb field strength seen by an electron in the ground state of atomic hydrogen.
Abstract: We review the phenonomena which occur in multiphoton physics when the electric field of the applied laser radiation becomes comparable with the Coulomb field strength seen by an electron in the ground state of atomic hydrogen. This field is reached at an irradiance of approximately . The normal perturbative photon-by-photon based picture of the interaction of individual electrons with the field is replaced by a tunnelling picture in which, in a time of the order of, or less than one optical cycle, atomic wavepackets are generated which escape the confining Coulomb potential. These wavepackets are strongly influenced by the laser, `quiver' and may be accelerated back to the parent ion in a recollision process. Phase-coherent effects locked to the laser field become important: high harmonics are generated from these recollisions. We discuss the theory of such effects, and review progress in understanding how this quiver motion can be coherently controlled. We discuss ionization dynamics and review mechanisms by which atoms may be stabilized in very strong fields. Finally, we discuss relativistic effects which occur at very high-intensities.
643 citations