# SPIN RELAXATION IN PHASE SPACE

@article{Kalmykov2016SPINRI, title={SPIN RELAXATION IN PHASE SPACE}, author={Yu. P. Kalmykov and William T. Coffey and Sergei V. Titov}, journal={arXiv: Statistical Mechanics}, year={2016}, pages={41-275} }

We have treated numerous illustrative examples of spin relaxation problems using Wigner's phase-space formulation of quantum mechanics of particles and spins. The merit of the phase space formalism as applied to spin relaxation problems is that only master equations for the phase-space distributions akin to Fokker-Planck equations for the evolution of classical phase-space distributions in configuration space are involved so that operators are unnecessary. The explicit solution of these…

## 5 Citations

### Truncated Wigner approximation as non-positive Kraus map

- PhysicsPhysica Scripta
- 2020

We show that the Truncated Wigner Approximation developed in the flat phase-space is mapped into a Lindblad-type evolution with an indefinite metric in the space of linear operators. As a result, the…

### Quasiprobability currents on the sphere

- PhysicsPhysical Review A
- 2020

We present analytic expressions for the s-parametrized currents on the sphere for both unitary and dissipative evolutions. We examine the spatial distribution of the flow generated by these currents…

### Generalized SU(2) covariant Wigner functions and some of their applications

- Physics
- 2017

We survey some applications of SU(2) covariant maps to the phase space quantum mechanics of systems with fixed or variable spin. A generalization to SU(3) symmetry is also briefly discussed in…

### Semi-Classical Discretization and Long-Time Evolution of Variable Spin Systems

- PhysicsEntropy
- 2021

The semi-classical limit of the generalized SO(3) map is applied for representation of variable-spin systems in a four-dimensional symplectic manifold and one of the classical dynamic variables is “quantized” and a discretized version of the Truncated Wigner Approximation is introduced.

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