Derivation of a time dependent Schrödinger equation as the quantum mechanical Landau–Lifshitz–Bloch equation
Journal of Physics: Condensed Matter
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
... ness and applicability of the derived Schr\"odinger equation.