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arXiv · 1607.06184

Derivation of a time dependent Schr\"odinger equation as quantum mechanical Landau-Lifshitz-Bloch equation

Robert Wieser
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Abstract

The derivation of the time dependent Schr\"odinger 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 Schr\"odinger equation has been derived. Analytical proofs and computer simulations show the correctness and applicability of the derived Schr\"odinger equation.

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Robert Wieser. 2016-07-21. Derivation of a time dependent Schr\"odinger equation as quantum mechanical Landau-Lifshitz-Bloch equation. https://doi.org/10.1088/0953-8984/28/39/396003

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