Quantum Dynamics as Landau–Lifshitz-Type Dynamics and Random Wave Function Collapse

It is first observed that quantum dynamics can be viewed as Landau-Lifshitz-type dynamics. Then, by using this fact, instability-induced random branching of deterministic dynamics is discussed as a possible mechanism of random wave function collapse. In the case of two-level systems important in quantum computing and spintronics, the Born probability rule emerges as the simplest solution to the equation for measurement probabilities.