Exact classical stochastic representations of the many-body quantum dynamics
Annotation
In this work we investigate the exact classical stochastic representations of many-body quantum dynamics. We focus on the representations in which the quantum states and the observables are linearly mapped onto classical quasiprobability distributions and functions in a certain (abstract) phase space. We demonstrate that when such representations have regular mathematical properties, they are reduced to the expansions of the density operator over a certain overcomplete operator basis. Our conclusions are supported by the fact that all the stochastic representations currently known in the literature (quantum mechanics in generalized phase space and, as it recently has been shown by us, the stochastic wave-function methods) have the mathematical structure of the above-mentioned type. We illustrate our considerations by presenting the recently derived operator mappings for the stochastic wave-function method.
Keywords
Постоянный URL
Articles in current issue
- Renormalization group in the infinite-dimensional turbulence: determination of the RG-functions without renormalization constants
- The study of the local director orientation in chiral liquid crystals
- Evolution of size and composition of a multicomponent gas bubble in liquid solution
- The interaction of polarization charges in freely suspended smectic-C* films
- Entropic sampling of star-shaped polymers with different number of arms: temperature dependencies of structural properties
- Boundary effect on multiple scattering of elastic waves in a half-space
- On construction of evolutionary operator for rectangular linear optical multiport
- Estimation of the contact area of solids by electrothermal analogy
- The kinetics of formation and morphological memory of polymeric nanostructures
- Stimulated emission of an atomic system under coherent excitation
- Dielectric relaxation of fulleroid materials filled PA6 composites and the study of its mechanical performance
- Structural hierarchy of NH4V3O7 particles prepared under hydrothermal conditions
- Nanodisperse oxide compounds of iron formed in the FeSO4 – KOH – H2O – H2O2 system (4.0 ≤ pH ≤ 13.0)