Last Updated
：2025/12/02
Weyl algebra
Noun
Japanese Meaning
多項式係数を持つ微分作用素環、すなわち f_m(X)∂_X^m + f_(m-1)(X)∂_X^(m-1) + ⋯ + f_1(X)∂_X + f_0(X) の形の微分作用素からなる環。
（ plural ）
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(algebra) 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).
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Weyl algebra
In many areas of mathematical physics, the Weyl algebra serves as the natural algebraic setting for studying linear differential operators with polynomial coefficients.
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In many areas of mathematical physics, the Weyl algebra serves as the natural algebraic setting for studying linear differential operators with polynomial coefficients.
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