Abstract.
We develop a general theory of absence of quantum states corresponding to unstable classical scattering channels. We treat in detail Hamiltonians arising from symbols of degree zero in x and outline a generalization in an Appendix.
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Communicated by Claude-Alain Pillet.
E. Skibsted is (partially) supported by MaPhySto – A Network in Mathematical Physics and Stochastics, funded by The Danish National Research Foundation.
Submitted: September 18, 2007. Accepted: January 14, 2008.
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Herbst, I., Skibsted, E. Absence of Quantum States Corresponding to Unstable Classical Channels. Ann. Henri Poincaré 9, 509–552 (2008). https://doi.org/10.1007/s00023-008-0366-8
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DOI: https://doi.org/10.1007/s00023-008-0366-8