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Semi-classical behavior of the spectral function |
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| Authors: | Ivana Alexandrova |
| Institution: | Department of Mathematics, University of Toronto, Toronto, Ontario, Canada M5S 3G3 |
| 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. |
| Keywords: | Semi-classical Schr\"{o}dinger operators spectral function Fourier integral operators |
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