Math @ Duke

Publications [#287113] of Ingrid Daubechies
Papers Published
 Daubechies, I; Grossmann, A, An integral transform related to quantization,
Journal of Mathematical Physics, vol. 21 no. 8
(December, 1979),
pp. 20802090, AIP Publishing, ISSN 00222488 [doi]
(last updated on 2019/08/21)
Abstract: We study in some detail the correspondence between a function f on phase space and the matrix elements (Qf)(a, b) of its quantized Q f between the coherent states a< and b<. It is an integral transform: Qf(a, b) = ∫{a, b v} f(v) dv which resembles in many ways the integral transform of Bargmann. We obtain the matrix elements of Q f between harmonic oscillator states as the Fourier coefficients of f with respect to an explicit orthonormal system. © 1980 American Institute of Physics.


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