PIRSA:07110029

New Foundations for Quantum Statistical Mechanics

Brody, D. (2007). New Foundations for Quantum Statistical Mechanics. Perimeter Institute. https://pirsa.org/07110029

Brody, Dorje. New Foundations for Quantum Statistical Mechanics. Perimeter Institute, Nov. 13, 2007, https://pirsa.org/07110029 

          @misc{ pirsa_PIRSA:07110029,
            doi = {10.48660/07110029},
            url = {https://pirsa.org/07110029},
            author = {Brody, Dorje},
            keywords = {Quantum Foundations},
            language = {en},
            title = {New Foundations for Quantum Statistical Mechanics},
            publisher = {Perimeter Institute},
            year = {2007},
            month = {nov},
            note = {PIRSA:07110029 see, \url{https://pirsa.org}}
          }

Dorje Brody

Imperial College London

Talk number
PIRSA:07110029
Collection
Talk Type
Subject
Abstract
A new microcanonical equilibrium state is introduced for quantum systems with finite-dimensional state spaces. Equilibrium is characterised by a uniform distribution on a level surface of the expectation value of the Hamiltonian. The distinguishing feature of the proposed equilibrium state is that the corresponding density of states is a continuous function of the energy, and hence thermodynamic functions are well defined for finite quantum systems. The density of states, however, is not in general an analytic function. It is demonstrated that generic quantum systems therefore exhibit second-order phase transitions at finite temperatures. The talk is based on work carried out in collaboration with D.W. Hook and L.P. Hughston.