Controlled quantum evolutions

Details Controlled quantum evolutions Controlled quantum evolutions

1999-01-18

arxiv.org/abs/quant-ph/9901054v1

Physics

Quantum Physics

Invited talk, to appear in the Proceedings of the 7th UK Conference on Mathematical and Conceptual Foundations of Modern Physi

Scientific paper

We perform a detailed analysis of the non stationary solutions of the evolution (Fokker-Planck) equations associated to either stationary or non stationary quantum states by the stochastic mechanics. For the excited stationary states of quantum systems with singular velocity fields we explicitely discuss the exact solutions for the HO case. Moreover the possibility of modifying the original potentials in order to implement arbitrary evolutions ruled by these equations is discussed with respect to both possible models for quantum measurements and applications to the control of particle beams in accelerators.

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