Weyl algebra
nounEtymology Named after Hermann Weyl, who introduced them to study the Heisenberg uncertainty principle in quantum mechanics.
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Algebra, Mathematics, Sciences 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).