An analytic integral formula for spectral flow of unitaries is proved and used to give explicit counts of bound states in quantum scattering via Levinson's theorem.
de la Harpe,Classical Banach-Lie groups and Banach-Lie algebras of operators in Hilbert space, PhD Thesis, University of Warwick
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Analytic spectral flow formula for unitaries and Levinson's theorem
An analytic integral formula for spectral flow of unitaries is proved and used to give explicit counts of bound states in quantum scattering via Levinson's theorem.