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

R Wieser
2016 Journal of Physics: Condensed Matter  

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2016 pre-print arXiv:1607.06184v1 fatcat:tdrc2hpjvnh2vgm5a5y3e5tq6q
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
more » ... ness and applicability of the derived Schr\"odinger equation.
doi:10.1088/0953-8984/28/39/396003 pmid:27494599 fatcat:ikdlwukyuzfv3l6fz5lstypf3i
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R Wieser. "Derivation of a time dependent Schrödinger equation as the quantum mechanical Landau–Lifshitz–Bloch equation." Journal of Physics: Condensed Matter 28.39 (2016) 396003