An integral transform related to quantization

Journal Article (Journal Article)

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.

Full Text

Duke Authors

Cited Authors

  • Daubechies, I; Grossmann, A

Published Date

  • January 1, 1979

Published In

Volume / Issue

  • 21 / 8

Start / End Page

  • 2080 - 2090

International Standard Serial Number (ISSN)

  • 0022-2488

Digital Object Identifier (DOI)

  • 10.1063/1.524702

Citation Source

  • Scopus