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Publication - Dr Roman Schubert

    Wave-packet evolution in non-Hermitian quantum systems

    Citation

    Graefe, E-M & Schubert, R, 2011, ‘Wave-packet evolution in non-Hermitian quantum systems’. Physical Review A: Atomic, Molecular and Optical Physics, vol 83.

    Abstract

    The quantum evolution of the Wigner function for Gaussian wave packets generated by a non-Hermitian Hamiltonian is investigated. In the semiclassical limit (h) over bar -> 0 this yields the non-Hermitian analog of the Ehrenfest theorem for the dynamics of observable expectation values. The lack of Hermiticity reveals the importance of the complex structure on the classical phase space: The resulting equations of motion are coupled to an equation of motion for the phase-space metric-a phenomenon having no analog in Hermitian theories.

    Full details in the University publications repository