A STOCHASTIC GOLDEN RULE AND QUANTUM LANGEVIN EQUATION FOR THE LOW DENSITY LIMIT
From MaRDI portal
Publication:3043511
DOI10.1142/S0219025703001304zbMath1053.82019arXivmath-ph/0206032MaRDI QIDQ3043511
Luigi Accardi, Alexander Pechen, Igor V. Volovich
Publication date: 6 August 2004
Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0206032
Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)
Related Items
The polynomial sub-Riemannian differentiability of some Hölder mappings of Carnot groups ⋮ Selected topics in dynamics and control of open quantum systems ⋮ Higher-order corrections to the Redfield equation with respect to the system-bath coupling based on the hierarchical equations of motion ⋮ Некоторые вопросы динамики и управления открытыми квантовыми системами ⋮ Low Density Limit and the Quantum Langevin Equation for the Heat Bath ⋮ The multitime correlation functions, free white noise, and the generalized Poisson statistics in the low density limit
Cites Work
- Quantum Ito's formula and stochastic evolutions
- The number process as low density limit of Hamiltonian models
- On the generators of quantum dynamical semigroups
- Non-exponential decay for polaron model
- The low-density limit of quantum systems
- Quantum stochastic equation for the low density limit
- SUBDYNAMICS OF RELEVANT OBSERVABLES: A FIELD THEORETICAL APPROACH