Invariant Quantum States of Quadratic Hamiltonians
V. V. Dodonov
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.
Topics & Concepts
Quadratic equationInvariant (physics)CovarianceMathematicsConstant (computer programming)Mathematical physicsGeneral covarianceApplied mathematicsPhysicsQuantum mechanicsComputer scienceGeometryStatisticsProgramming languageQuantum chaos and dynamical systemsQuantum optics and atomic interactionsQuantum Mechanics and Applications