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Analytic waves

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Abstract

Physical aspects of wave theory are discussed. Analytic waves (AW) neatly define the amplitude and frequency of real running waves and generalize and justify some points of wave theory. It is shown that the local group delay averaged in frequency defines the velocity of a wave center at each point. An asymptotic solution is developed for running spectra in slowly varying media. Also, Whitham's method is generalized not only for the frequency but also the amplitude of a wave. The theory is applied to quantum mechanics, and the paradox of tunneling is clarified. This paradox is not specifically quantum but occurs and can be explained in a classical area.

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  1. 213 Bennett Ave, Apt 2D, 10040, New York, NY

    David Vakman

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  1. David Vakman
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Vakman, D. Analytic waves. Int J Theor Phys 36, 227–247 (1997). https://doi.org/10.1007/BF02435783

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  • DOI: https://doi.org/10.1007/BF02435783

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