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Some Remarks About Semiclassical Trace Invariants and Quantum Normal Forms

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.

preprint2009arXivOpen access
Victor GuilleminThierry Paul
math.APmath-phmath.MP
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Victor GuilleminThierry Paul

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