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On the Gaussian functions of two discrete variables
Published 3 Dec 2019 in math.CA, math-ph, math.MP, and quant-ph | (1912.01998v2)
Abstract: A remarkable discrete counterpart of the Gaussian function of one continuous variable can be defined by using a Jacobi theta function, that is, as the sum of a convergent series. We extend this approach to Gaussian functions of two variables, and investigate the Fourier transform and Wigner function of the functions of discrete variable defined in this way.
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