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Derivation of a time dependent Schrödinger equation as quantum mechanical Landau-Lifshitz-Bloch equation

The derivation of the time dependent Schrödinger equation with transversal and longitudinal relaxation, as the quantum mechanical analog of the classical Landau-Lifshitz-Bloch equation, has been described. Starting from the classical Landau-Lifshitz-Bloch equation the transition to quantum mechanics has been performed and the corresponding von-Neumann equation deduced. In a second step the time Schrödinger equation has been derived. Analytical proofs and computer simulations show the correctness and applicability of the derived Schrödinger equation.

preprint2016arXivOpen access
Robert Wieser
cond-mat.mes-hallquant-ph
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Robert Wieser

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