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Evolution of Orbits and Quantum Correlation Functions by Quadratic Hamiltonians |
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| Authors: | |
| Institution: | (1) Faculty of Electrical Engineering and Information Technology, Department of Mathematics, Slovak University of Technology, Bratislava, Slovakia |
| Abstract: | Quantum systems with quadratic Hamiltonians are considered. Some results about the time evolution of homogeneous polynomials and of quantum correlation functions are given. The image of arbitrary orbit of Weyl–Heisenberg group under this time evolution is shown to be again an orbit of this group. For quantum free particle it is shown that its time evolution intersects arbitrary such orbit at most once. A result about existence of more orbits having the same dispersion of some quantum position is presented.PACS: 02.20.Qs, 02.30.Sa |
| Keywords: | quadratic Hamiltonian quantum correlation function orbit of Weyl– Heisenberg group |
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