Absence of Quantum States Corresponding to Unstable Classical Channels

Details Absence of Quantum States Corresponding to Unstable Classical Channels Absence of Quantum States Corresponding to Unstable Classical Channels

2007-10-02

arxiv.org/abs/0710.0594v1

Physics

Mathematical Physics

Scientific paper

10.1007/s00023-008-0366-8

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.

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