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.
Levinson.On the uniqueness of the potential in a Schr¨ odinger equation for a given asymptotic phase, Danske Vid
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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.