Difference between revisions of "Weyl quantization"
From Encyclopedia of Mathematics
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Let $a ( x , \xi )$ be a classical Hamiltonian (cf. also [[Hamilton operator|Hamilton operator]]) defined on $\mathbf{R} ^ { n } \times \mathbf{R} ^ { n }$. The Weyl quantization rule associates to this function the operator <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w1201103.png"/> defined on functions $u ( x )$ as | Let $a ( x , \xi )$ be a classical Hamiltonian (cf. also [[Hamilton operator|Hamilton operator]]) defined on $\mathbf{R} ^ { n } \times \mathbf{R} ^ { n }$. The Weyl quantization rule associates to this function the operator <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w1201103.png"/> defined on functions $u ( x )$ as | ||
Revision as of 17:42, 1 July 2020
How to Cite This Entry:
Weyl quantization. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Weyl_quantization&oldid=50110
Weyl quantization. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Weyl_quantization&oldid=50110
This article was adapted from an original article by N. Lerner (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article