# Quantum mechanics as kinetics

Source: [Quantum mechanics as kinetics](<https://www.sota2.com/research/paper/68fa1fee7a2b558e2932d60b>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-23T20:12:25.398Z

Authors: L.V. Prokhorov

Published: 2004-06-12T09:09:29.000Z

## Abstract

Relations between Hamiltonian mechanics and quantum mechanics are studied. It is stressed that classical mechanics possesses all the specific features of quantum theory: operators, complex variables, probabilities (in case of ergodic systems). The Planck constant and the Fock space appear after putting a dynamical system in a thermal bath. For harmonic oscillator in a thermal bath, the probability amplitudes can be identified with the complex valued phase functions $f(q+ip)$ describing small deviations from the equilibrium state, when the time of relaxation is large. A chain of such oscillators models both the one-dimensional space (or string), and one-dimensional quantum field theory.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/quant-ph/0406079>)

[PDF](<https://arxiv.org/pdf/quant-ph/0406079.pdf>)