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On the distributions corresponding to bounded operators in the Weyl quantization

Publication ,  Journal Article
Daubechies, I
Published in: Communications in Mathematical Physics
October 1, 1980

Using properties of an integral transform giving directly the matrix elements of a quantum mechanical operator from the corresponding classical function, we restrict the class of distributions corresponding to bounded operators. As a consequence, we can exhibit a class of functions yielding trace-class operators, and give a bound on their trace-norm. © 1980 Springer-Verlag.

Duke Scholars

Published In

Communications in Mathematical Physics

DOI

EISSN

1432-0916

ISSN

0010-3616

Publication Date

October 1, 1980

Volume

75

Issue

3

Start / End Page

229 / 238

Related Subject Headings

  • Mathematical Physics
  • 5107 Particle and high energy physics
  • 4904 Pure mathematics
  • 4902 Mathematical physics
  • 0206 Quantum Physics
  • 0105 Mathematical Physics
  • 0101 Pure Mathematics
 

Citation

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MLA
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Daubechies, I. (1980). On the distributions corresponding to bounded operators in the Weyl quantization. Communications in Mathematical Physics, 75(3), 229–238. https://doi.org/10.1007/BF01212710
Daubechies, I. “On the distributions corresponding to bounded operators in the Weyl quantization.” Communications in Mathematical Physics 75, no. 3 (October 1, 1980): 229–38. https://doi.org/10.1007/BF01212710.
Daubechies I. On the distributions corresponding to bounded operators in the Weyl quantization. Communications in Mathematical Physics. 1980 Oct 1;75(3):229–38.
Daubechies, I. “On the distributions corresponding to bounded operators in the Weyl quantization.” Communications in Mathematical Physics, vol. 75, no. 3, Oct. 1980, pp. 229–38. Scopus, doi:10.1007/BF01212710.
Daubechies I. On the distributions corresponding to bounded operators in the Weyl quantization. Communications in Mathematical Physics. 1980 Oct 1;75(3):229–238.
Journal cover image

Published In

Communications in Mathematical Physics

DOI

EISSN

1432-0916

ISSN

0010-3616

Publication Date

October 1, 1980

Volume

75

Issue

3

Start / End Page

229 / 238

Related Subject Headings

  • Mathematical Physics
  • 5107 Particle and high energy physics
  • 4904 Pure mathematics
  • 4902 Mathematical physics
  • 0206 Quantum Physics
  • 0105 Mathematical Physics
  • 0101 Pure Mathematics