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.
Phillips.Spectral flow in type I and II factors — a new approach, in ‘Cyclic cohomol- ogy and noncommutative geometry’, Fields Inst
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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.