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

Abstract

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.

References in corpus (7)

• Computational Studies of Quantum Spin Systems
• The Bloch Vector for N-Level Systems
• Dynamic approach for micromagnetics close to the Curie temperature
• Ultra-fast magnetisation rates within the Landau-Lifshitz-Bloch model
• Quantum Landau-Lifshitz-Bloch equation and its comparison with the classical case
• Magnetization dynamics at elevated temperatures
• Magnetic dynamics with spin transfer torques near the Curie temperature

Cited by in corpus (5)

• Spintronics meets density matrix renormalization group: Quantum spin torque driven nonclassical magnetization reversal and dynamical buildup of long-range entanglement
• Quantum spin torque driven transmutation of antiferromagnetic Mott insulator
• Self-Consistent Field Theory studies of the thermodynamics and quantum spin dynamics of magnetic Skyrmions
• Quantum analog of Landau-Lifshitz-Gilbert dynamics
• The Physical Origin of Schrödinger Equation