An integral transform related to quantization
Publication
, Journal Article
Daubechies, I; Grossmann, A
Published in: Journal of Mathematical Physics
January 1, 1979
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.
Duke Scholars
Published In
Journal of Mathematical Physics
DOI
ISSN
0022-2488
Publication Date
January 1, 1979
Volume
21
Issue
8
Start / End Page
2080 / 2090
Related Subject Headings
- Mathematical Physics
- 51 Physical sciences
- 49 Mathematical sciences
- 02 Physical Sciences
- 01 Mathematical Sciences
Citation
APA
Chicago
ICMJE
MLA
NLM
Daubechies, I., & Grossmann, A. (1979). An integral transform related to quantization. Journal of Mathematical Physics, 21(8), 2080–2090. https://doi.org/10.1063/1.524702
Daubechies, I., and A. Grossmann. “An integral transform related to quantization.” Journal of Mathematical Physics 21, no. 8 (January 1, 1979): 2080–90. https://doi.org/10.1063/1.524702.
Daubechies I, Grossmann A. An integral transform related to quantization. Journal of Mathematical Physics. 1979 Jan 1;21(8):2080–90.
Daubechies, I., and A. Grossmann. “An integral transform related to quantization.” Journal of Mathematical Physics, vol. 21, no. 8, Jan. 1979, pp. 2080–90. Scopus, doi:10.1063/1.524702.
Daubechies I, Grossmann A. An integral transform related to quantization. Journal of Mathematical Physics. 1979 Jan 1;21(8):2080–2090.
Published In
Journal of Mathematical Physics
DOI
ISSN
0022-2488
Publication Date
January 1, 1979
Volume
21
Issue
8
Start / End Page
2080 / 2090
Related Subject Headings
- Mathematical Physics
- 51 Physical sciences
- 49 Mathematical sciences
- 02 Physical Sciences
- 01 Mathematical Sciences