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Journal ArticleDOI

Calculation of Matrix Elements for One‐Dimensional Quantum‐Mechanical Problems

A. S. Dickinson, +1 more
- 01 Nov 1968 - 
- Vol. 49, Iss: 9, pp 4209-4211
TLDR
Matrix elements calculation for one dimensional quantum-mechanical problems using transformation theory using matrix elements was studied in this paper, where transformation theory was used to solve the problem of matrix elements calculation.
Abstract
Matrix elements calculation for one dimensional quantum-mechanical problems using transformation theory

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Journal ArticleDOI

On the Effect of Initial Rotation on Reactivity. A Multi-Configuration Time-Dependent Hartree (MCTDH) Wave Packet Propagation Study on the H + D2 and D + H2 Reactive Scattering Systems †

TL;DR: In this article, the cumulative initial-state-selected reaction cross sections of the H + D2 and D + H2 systems are analyzed for collision energies up to 1.3 eV.
Journal ArticleDOI

Iterative diagonalization within the multi-configurational time-dependent Hartree approach: calculation of vibrationally excited states and reaction rates

TL;DR: An iterative diagonalization scheme for operators involving wavepacket propagations employing the multi-configurational time-dependent Hartree (MCTDH) approach is presented in this article.
Journal ArticleDOI

Multiconfigurational time-dependent Hartree calculations for tunneling splittings of vibrational states: Theoretical considerations and application to malonaldehyde

TL;DR: Studying the dependence of the tunneling splittings on the vibrational excitation, good agreement with available experimental results is found and intuitive interpretations of the results can be given.
Journal ArticleDOI

Resonances in the entrance channel of the elementary chemical reaction of fluorine and methane

TL;DR: A clear picture of resonances in the F+CH4 system is deduced from high-resolution slow electron velocity-map imaging (SEVI) spectra and accurate full-dimensional (12D) quantum dynamics simulations in the picosecond regime.
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Time-dependent multiconfiguration methods for the numerical simulation of photoionization processes of many-electron atoms

TL;DR: In this article, the authors present two theoretical methods, the multiconfigurational time-dependent Hartree-Fock (MCTDHF) method and the timedependent restricted active space configuration interaction (TD-RASCI) method, which represent the wave function in a linear subspace of the many-body Hilbert space and follow particular strategies to avoid the exponential problem.
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