Time-delay operators in semiclassical limit. II. Short-range potentials
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Abstract:
This work is a continuation of [27]. We prove that quantum time-delay operator localized in a nontrapping energy interval is in fact an $h$-pseudodifferential operator with the $h$-principal symbol given by the classical time-delay function composed with the incoming wave operator in classical mechanics. The classical limit of time-delay operator is also given.References
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Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 322 (1990), 395-416
- MSC: Primary 35P25; Secondary 35J10, 35S99, 47F05, 81Q20
- DOI: https://doi.org/10.1090/S0002-9947-1990-0987170-X
- MathSciNet review: 987170