Quantum Counterpart of Classical Equipartition of Energy
Jerzy Łuczka
Abstract
Abstract It is shown that the recently proposed quantum analogue of classical energy equipartition theorem for two paradigmatic, exactly solved models (i.e., a free Brownian particle and a dissipative harmonic oscillator) also holds true for all quantum systems which are composed of an arbitrary number of non-interacting or interacting particles, subjected to any confining potentials and coupled to thermostat with arbitrary coupling strength.
Topics & Concepts
Equipartition theoremPhysicsThermostatDissipative systemQuantumBrownian motionQuantum mechanicsCoupling (piping)Harmonic oscillatorQuantization (signal processing)Quantum particleClassical mechanicsWKB approximationEnergy (signal processing)HarmonicStatistical physicsHamiltonian (control theory)Quantum systemQuantum dissipationMathematical physicsQuantum dynamicsParticle (ecology)Free particleQuantum fluctuationSchrödinger's catQuantum statistical mechanicsQuantum decoherenceQuantum Mechanics and Applicationsstochastic dynamics and bifurcationQuantum and Classical Electrodynamics