Formulation of molecular integrals over Gaussian functions treatable by both the Laplace and Fourier transforms of spatial operators by using derivative of Fourier‐kernel multiplied Gaussians

1991 ◽  
Vol 94 (5) ◽  
pp. 3790-3804 ◽  
Author(s):  
Masaru Honda ◽  
Kikue Sato ◽  
Shigeru Obara
Keyword(s):  
Fourier Transforms ◽  
Laplace And Fourier Transforms ◽  
Gaussian Functions ◽  
Molecular Integrals ◽  
Spatial Operators ◽  
Fourier Kernel

scholarly journals Response Due To Impulsive Force In Generalized Thermomicrostretch Elastic Solid

2015 ◽  
Vol 20 (3) ◽  
pp. 487-502
Author(s):  
V. Kumar ◽  
R. Singh
Keyword(s):  
Fourier Transforms ◽  
Normal Force ◽  
Elastic Solid ◽  
Integral Transforms ◽  
Normal Displacement ◽  
Impulsive Force ◽  
Field Equations ◽  
Laplace And Fourier Transforms ◽  
Eigen Value ◽  
Plain Strain

Abstract A two dimensional Cartesian model of a generalized thermo-microstretch elastic solid subjected to impulsive force has been studied. The eigen value approach is employed after applying the Laplace and Fourier transforms on the field equations for L-S and G-L model of the plain strain problem. The integral transforms have been inverted into physical domain numerically and components of normal displacement, normal force stress, couple stress and microstress have been illustrated graphically.

scholarly journals Molecular Integrals Evaluated over Contracted Gaussian Functions

2005 ◽  
Vol 4 (4) ◽  
pp. 165-174 ◽  
Author(s):  
Hiroaki HONDA ◽  
Shigeru OBARA
Keyword(s):  
Gaussian Functions ◽  
Molecular Integrals

scholarly journals Extensions to common Laplace and Fourier transforms

1997 ◽  
Vol 4 (11) ◽  
pp. 310-312 ◽  
Author(s):  
L. Onural ◽  
M.F. Erden ◽  
H.M. Ozaktas
Keyword(s):  
Fourier Transforms ◽  
Laplace And Fourier Transforms

scholarly journals Solutions of Unified Fractional Schrödinger Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-7 ◽  
Author(s):  
V. B. L. Chaurasia ◽  
Devendra Kumar
Keyword(s):  
Schrödinger Equation ◽  
Closed Form ◽  
Numerical Computation ◽  
Schrodinger Equation ◽  
Fourier Transforms ◽  
Schrödinger Equations ◽  
Laplace And Fourier Transforms ◽  
Fractional Schrödinger Equation ◽  
Fractional Schrödinger Equations ◽  
Fractional Schrodinger Equation

We obtain the solution of a unified fractional Schrödinger equation. The solution is derived by the application of the Laplace and Fourier transforms in closed form in terms of the Mittag-Leffler function. The result obtained here is quite general in nature and capable of yielding a very large number of results (new and known) hitherto scattered in the literature. Most of results obtained are in a form suitable for numerical computation.

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