245 research outputs found
Absence of Quantum States Corresponding to Unstable Classical Channels
We consider Hamiltonian systems of a certain class with unstable orbits
moving to infinity. We prove a theorem showing that analogous quantum states do
not exist. This theorem is applied to Schrodinger operators with potentials of
degree zero which are Morse when restricted to the unit sphere
Stationary scattering theory on mainifolds, I
We study spectral theory for the Schrodinger operator on manifolds possessing
an escape function. A particular class of examples are manifolds with Euclidean
and/or hyperbolic ends.Comment: pp 3
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