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Full-Text Articles in Physics
A Brief Review Of Modern Uses Of Scattering Techniques, Daniel M. Wade, Dereth J. Drake
A Brief Review Of Modern Uses Of Scattering Techniques, Daniel M. Wade, Dereth J. Drake
Georgia Journal of Science
Thomson, Rayleigh, Mie, and Raman scattering are commonly used in several disciplines in science and engineering. The techniques involve the scattering of electromagnetic radiation or particles in a sample. This paper provides a brief history for each scattering method, describes the traditional laboratory approach for implementation, and discusses current uses and variations of these four techniques.
General Solution Of The Schrödinger Equation With Potential Field Quantization, Hasan Hüseyi̇n Erbi̇l
General Solution Of The Schrödinger Equation With Potential Field Quantization, Hasan Hüseyi̇n Erbi̇l
Turkish Journal of Physics
A simple procedure has been found for the general solution of the time-independent Schrödinger equation (SE) with the help of quantization of potential area in one dimension without making any approximation. Energy values are not dependent on wave functions. So, to find the energy values, it is enough to find the classic turning points of the potential function. Two different solutions were obtained, namely, symmetric and antisymmetric in bound states. These normalized wave functions are always periodic. It is enough to take the integral of the square root of the potential energy function to find the normalized wave functions. If …
Asymptotic Behavior Of Waves In A Nonuniform Medium, Nezam Iraniparast, Lan Nguyen, Mikhail Khenner
Asymptotic Behavior Of Waves In A Nonuniform Medium, Nezam Iraniparast, Lan Nguyen, Mikhail Khenner
Applications and Applied Mathematics: An International Journal (AAM)
An incoming wave on an infinite string, that has uniform density except for one or two jump discontinuities, splits into transmitted and reflected waves. These waves can explicitly be described in terms of the incoming wave with changes in the amplitude and speed. But when a string or membrane has continuous inhomogeneity in a finite region the waves can only be approximated or described asymptotically. Here, we study the cases of monochromatic waves along a nonuniform density string and plane waves along a membrane with nonuniform density. In both cases the speed of the physical system is assumed to tend …