Journal ArticleDOI
Solution of the Schrödinger equation by a spectral method
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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.About:
This article is published in Journal of Computational Physics.The article was published on 1982-09-01. It has received 2646 citations till now. The article focuses on the topics: Spectral method & Partial differential equation.read more
Citations
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The multiconfiguration time-dependent Hartree (MCTDH) method: a highly efficient algorithm for propagating wavepackets
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.
Journal ArticleDOI
An accurate and efficient scheme for propagating the time dependent Schrödinger equation
H. Tal-Ezer,Ronnie Kosloff +1 more
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.
Journal ArticleDOI
A comparison of different propagation schemes for the time dependent Schro¨dinger equation
Claude Leforestier,R. H. Bisseling,C. Cerjan,M. D. Feit,R. Friesner,A. Guldberg,A. Hammerich,G. Jolicard,W. Karrlein,H.-D. Meyer,N. Lipkin,O. Roncero,R. Kosloff +12 more
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.
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Absorbing boundaries for wave propagation problems
Ronnie Kosloff,Dan Kosloff +1 more
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.
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Atomic physics with super-high intensity lasers
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.
References
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An improved eigenvalue corrector formula for solving the Schrödinger equation for central fields
TL;DR: In this article, an accurate method for calculating the nuclear wave functions and vibrational-rotational energies of diatomic molecules with some economy in the number of values of the internuclear potential required is presented.
Journal ArticleDOI
Time-dependent propagation of high-energy laser beams through the atmosphere: II
TL;DR: In this article, a time-dependent three-space-dimensional laser beam propagation is described, where the authors use a discrete Fourier transform (DFT) method for diffraction problems.
Journal ArticleDOI
Computation of mode properties in optical fiber waveguides by a propagating beam method
Michael D. Feit,J. A. Fleck +1 more
TL;DR: The spectral analysis is made highly accurate by the use of line-shape fitting techniques and mode group delays can be determined to a precision of +/-0.12 psec/km using a computation covering a 5-cm propagation path.
Journal ArticleDOI
Practical points concerning the solution of the Schrödinger equation
John M. Blatt,John M. Blatt +1 more
TL;DR: In this article, the numerical solution of the one-dimensional Schrodinger equation in a potential of the type occurring in molecular spectroscopy was considered, with both an inner and an outer classical turning point.
Journal ArticleDOI
Double‐Minimum Potentials in Hydrogen‐Bonded Solids
R. L. Somorjai,D. F. Hornig +1 more
TL;DR: In this article, a simple one-dimensional model of H bonds, vibrational energy eigenvalues, eigenfunctions, transition moments, and absorption intensities are calculated for a series of symmetric and asymmetric double minimum (D.M.) potentials.
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