Comparison of Thermodynamic Characteristics in Ordinary Quantum and Classical Approaches and Game Theory
arXiv:1010.4717 · doi:10.1016/j.physa.2011.06.002
Abstract
We fix the temperature and consider mean energy and Boltzmann-Gibbs-Shannon entropy as two players of a game. As a result, basic formulas for the ordinary quantum mean energy and the Boltzmann-Gibbs-Shannon entropy are derived. We compare also the quantum and classical approaches without a demand for Plank's constant being small. Important inequalities for statistical sum, quantum energy, quantum entropy, and their classical analogs follow.
An improved and slighly corrected version
References in corpus (5)
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- The Vacuum Fluctuation Theorem: Exact Schroedinger Equation via Nonequilibrium Thermodynamics
- Inverse Eigenvalue Problems for Perturbed Spherical Schroedinger Operators
- Quantum Theory: Exact or Approximate?
- Algorithmic entropy, thermodynamics, and game interpretation