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Invariant Quantum States of Quadratic Hamiltonians |
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| Authors: | Viktor V Dodonov |
| Institution: | 1.Institute of Physics, University of Brasilia, P.O. Box 04455, Brasilia 70919-970, DF, Brazil;2.International Center for Physics, University of Brasilia, Brasilia 70919-970, DF, Brazil |
| Abstract: | The problem of finding covariance matrices that remain constant in time for arbitrary multi-dimensional quadratic Hamiltonians (including those with time-dependent coefficients) is considered. General solutions are obtained. |
| Keywords: | covariance matrix positively (semi)definite matrices symplectic transformations charged particle in homogeneous magnetic fields generalized frequency converter |