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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

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Time-delay operators in semiclassical limit. II. Short-range potentials
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by Xue Ping Wang PDF
Trans. Amer. Math. Soc. 322 (1990), 395-416 Request permission

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.
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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