Semi-classical behavior of the spectral function
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- by Ivana Alexandrova PDF
- Proc. Amer. Math. Soc. 134 (2006), 2295-2302 Request permission
Abstract:
We study the semi-classical behavior of the spectral function of the Schrödinger operator with short range potential. We prove that the spectral function is a semi-classical Fourier integral operator quantizing the forward and backward Hamiltonian flow relations of the system. Under a certain geometric condition we explicitly compute the phase in an oscillatory integral representation of the spectral function.References
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Additional Information
- Ivana Alexandrova
- Affiliation: Department of Mathematics, University of Toronto, Toronto, Ontario, Canada M5S 3G3
- Email: alexandr@math.toronto.edu
- Received by editor(s): March 1, 2005
- Published electronically: March 20, 2006
- Communicated by: David S. Tartakoff
- © Copyright 2006 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 134 (2006), 2295-2302
- MSC (2000): Primary 35P05, 35S99
- DOI: https://doi.org/10.1090/S0002-9939-06-08463-2
- MathSciNet review: 2213702