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Weyl algebra

Weyl algebra noun: 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).

Noun

Weyl algebra (plural Weyl algebras)

  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).

Forms of Weyl algebra

pluralWeyl algebras

Origin of Weyl algebra

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

Questions about Weyl algebra

What does Weyl algebra mean?
Weyl algebra means 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).
What part of speech is Weyl algebra?
Weyl algebra is a noun.
What is the plural of Weyl algebra?
The plural of Weyl algebra is Weyl algebras.

Words near Weyl algebra in the dictionary

  1. Weyewa
  2. Weygandt
  3. Weygandts
  4. Weyhill
  5. Weyl
  6. Weyl algebra
  7. Weyl algebras
  8. Weyl fermion
  9. Weyl fermions
  10. Weyl group
  11. Weyl groups

Source and license

Adapted from Wiktionary: Weyl algebra (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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