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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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DVR3D: a program suite for the calculation of rotation–vibration spectra of triatomic molecules☆

TL;DR: The DVR3D program suite as discussed by the authors calculates energy levels, wavefunctions, and where appropriate dipole transition moments, for rotating and vibrating triatomic molecules, using a Discrete Variable Representation (DVR) based on Gauss-Jacobi and Gauss−Laguerre quadrature for all 3 internal coordinates and thus yields a fully point-wise representation of the wave functions.
Journal ArticleDOI

Pseudospectral method for solving the time-dependent Schrödinger equation in spherical coordinates

TL;DR: In this article, a pseudospectral method for solving the time-dependent Schrodinger equation in spherical coordinates is described, in which the translational kinetic energy operator is evaluated with a Fourier transform.
Journal ArticleDOI

Femtosecond time-resolved ionization spectroscopy of ultrafast internal-conversion dynamics in polyatomic molecules : theory and computational studies

TL;DR: In this paper, a framework for the theoretical description of two-pulse time-resolved ionization spectroscopy of ultrafast excited-state dynamics of polyatomic molecules is developed.
Journal ArticleDOI

Adiabatic separations of stretching and bending vibrations: Application to H2O

TL;DR: In this article, a detailed investigation is made into the use of adiabatic approximations for describing excited stretching and bending vibrations of the water molecule in a fully quantum mechanical triatomic calculation which incorporates anharmonicities to all orders in each of the modes.

DVR3D: a program suite for the calculation of rotation–vibrationspectra of triatomic molecules

TL;DR: The DVR3D program suite calculates energy levels, wavefunctions, and where appropriate dipole transition moments, for rotating and vibrating triatomic molecules, using a Discrete Variable Representation based on Gauss–Jacobi and Gauss-Laguerre quadrature.
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