Some Remarks About Semiclassical Trace Invariants and Quantum Normal Forms

Physics – Mathematical Physics

Scientific paper

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Scientific paper

In this paper we explore the connection between semi-classical and quantum
Birkhoff canonical forms (BCF) for Schrodinger operators. In particular we give
a "non-symbolic" operator theoretic derivation of the quantum Birkhoff
canonical form and provide an explicit recipe for expressing the quantum BCF in
terms of the semi-classical BCF.

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