Weyl algebra

English

Etymology

Named after Hermann Weyl, who introduced them to study the Heisenberg uncertainty principle in quantum mechanics.

Noun

Weyl algebra (plural Weyl algebras)

(algebra) The ring of differential operators with polynomial coefficients (in one variable), namely expressions of the form $f_{m}(X)\partial _{X}^{m}+f_{m-1}(X)\partial _{X}^{m-1}+\cdots +f_{1}(X)\partial _{X}+f_{0}(X)$ .

This article is issued from Wiktionary. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.