The symbol of a function of an operator
Gracia-Saz, Alfonso
Original · EN
We give an explicit formula for the symbol of a function of an operator. Given an operator A on L²(Rⁿ) with symbol A, and a function f, we obtain the symbol of f(A) in terms of A. As an application, Bohr-Sommerfeld quantization rules are explicitely calculated at order 4 in hbar.
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