English Explanatory Dictionary

Weyl algebra

English dictionary entry

Meanings

noun
  1. The ring of differential operators with polynomial coefficients (in one variable), namely expressions of the form f_m(X)∂_Xᵐ+f_m-1(X)∂_Xᵐ⁻¹+⋯+f_1(X)∂_X+f_0(X).

Word forms

Weyl algebra Weyl algebras

Etymology

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

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