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Results tagged with functional-calculus
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user 22277
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Exponentials and other functions of sums of anti-commuting operators
Suppose that $x,y$ are anti-commuting so that $xy=-yx$. Suppose furthermore that $f(x)=\sum_{j=0}^{\infty}a_{j}x^{j},g(y)=\sum_{k=0}^{\infty}b_{k}y^{k}$ are power series.
Then $$g(y)f(x)=\sum_{j=0}^{\ …
