On the control by electromagnetic fields of quantum systems with infinite dimensional Hilbert space
arXiv:1412.3913 · doi:10.1007/s10910-014-0429-7
Abstract
We analyze the control by electromagnetic fields of quantum systems with infinite dimensional Hilbert space and a discrete spectrum. Based on recent mathematical results, we rigorously show under which conditions such a system can be approximated in a finite dimensional Hilbert space. For a given threshold error, we estimate this finite dimension in terms of the used control field. As illustrative examples, we consider the cases of a rigid rotor and of a harmonic oscillator.
Journal of Mathematical Chemistry, Springer Verlag (Germany), 2014