Speakur

Word Pronunciation & Dictionary

weyl algebra

Word Rarity Very rare

Frequency: Zipf frequency 2.22 in modern English

Syllables
weyl al-ge-bra
IPA
20
Scrabble Score
11
Letters
3
Syllables
8
Unique Chars

Meaning

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).

Etymology

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

Inflected Forms

Weyl algebras (plural)

Questions

What does weyl algebra mean?
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).
Where does weyl algebra come from?
Named after Hermann Weyl, who introduced them to study the Heisenberg uncertainty principle in quantum mechanics.

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