92-4 Avron J.E., Nemorovsky J

Quasienergies, Stark Hamiltonians and Growth of Energy for Driven Quantum Rings (20K, TeX) Jan 31, 92

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Abstract. We study time-dependent Schroedinger operators in Aharonov-Bohm geometries where the flux threading the hole increases linearly with time. We show that the the quasienergy operator has, in these cases, the same spectrum as the time independent Stark Hamiltonian on the universal covering space. Combining known results on Stark Hamiltonians with a theorem of Bellissard, we prove that the energy of a particle on a finite ring, with smooth background potential, increases without bound.

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