– Sedov variational principle, which is the generalization of the least action principle for the dissipative processes is used to generalize the canoni-cal quantization and von Neumann equation for dissipative systems (particles and strings). PACS 03.65 – Quantum theory; quantum mechanics PACS 05.30 – Quantum statistical mechanics

We describe quantum entropic functionals and outline a research program dealing with entropic fluctuations in non-equilibrium quantum statistical mechanics.

It is shown that the wave function describes the state of the statistical ensemble E [S] of individual particles, or the statistical average particle 〈S〉. This result follows from the fact that in the classical limit h̄ = 0 the Schrödinger equation turns to the dynamic equations for the statistical ensemble of classical particles. The statement that the wave function describes the state of an in...

Hugh Everett III’s pure wave mechanics is a deterministic physical theory with no probabilities. He nevertheless sought to show how his theory might be understood as making the same statistical predictions as the standard collapse formulation of quantum mechanics. We will consider Everett’s argument for pure wave mechanics, how it depends on the notion of branch typicality, and the relationship...

Abstract We extend the ability of an unitary quantum circuit by interfacing it with a classical autoregressive neural network. The combined model parametrizes variational density matrix as mixture pure states, where network generates bitstring samples input states to circuit. devise efficient algorithm jointly optimize and solve statistical mechanics problems. One can obtain thermal observables...