Journal ArticleDOI
The Fourier Transform and Its Applications
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This article is published in American Journal of Physics.The article was published on 1966-08-01. It has received 2834 citations till now. The article focuses on the topics: Fourier transform.read more
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Time-dependent solution of the Liouville-von Neumann equation: non-dissipative evolution
Michael Berman,Ronnie Kosloff +1 more
TL;DR: In this paper, a method for solving the Liouville-von Neumann equation is presented, where the action of operators is calculated locally in coordinate and/or momentum representation, and the Fast Fourier Transform (FFT) is used to pass back and forth between coordinate and momentum representations, this transformation preserving all exact commutation relations.
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A simple and efficient methodology to approximate a general non-Gaussian stationary stochastic vector process by a translation process with applications in wind velocity simulation
TL;DR: A novel iterative methodology is presented that simply and efficiently estimates a non-Gaussian CSDM that is compatible with the prescribed non- Gaussian PDFs and closely approximates the prescribed incompatibleNon-GaRussian CSDM.
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Simulation of artefact movement due to cultivation
TL;DR: In this article, a mathematical model for the effect of cultivation on assemblages of material in the ploughsoil is presented, based on the results of experimental investigations at the Butser Ancient Farm Project.
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Reverberant shear wave fields and estimation of tissue properties.
TL;DR: The mathematics of multiple component shear wave fields are explored and the basic properties are derived, from which efficient estimators can be obtained, and the expected value of displacement patterns in shear reverberant fields are derived.
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The fast Hankel transform as a tool in the solution of the time dependent Schrödinger equation
Rob H. Bisseling,Ronnie Kosloff +1 more
TL;DR: In this paper, a new method for the solution of the time dependent Schrodinger equation, expressed in polar or spherical coordinates, is presented, where the radial part of the Laplacian operator is computed using Fast Hankel Transform.