Controllability of Scattering States of Quantum Mechanical Systems
Re-Bing Wu, Tzyh-Jong Tarn, Chun-Wen Li
Abstract
This paper provides a framework for the control of quantum mechanical systems with scattering states, i.e., systems with continuous spectra. We present the concept and prove a criterion of the approximate strong smooth controllability. Our results make non-trivial extensions from quantum systems with finite dimensional control Lie algebras to those with infinite dimensions. It also opens up many interesting problems for future studies.
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