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Mathematical transform of traveling-wave equations and phase aspects of quantum interaction. (English) Zbl 1191.35220
Summary: The traveling wave equation is an essential tool in the study of vibrations and oscillating systems. This paper introduces an important extension to the Fourier/Laplace transform that is needed for the analysis of signals that are represented by traveling wave equations. Another objective of the paper is to present a mathematical technique for the simulation of the behavior of large systems of optical oscillators.
MSC:
35Q40PDEs in connection with quantum mechanics