David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
We consider an isolated, macroscopic quantum system. Let H be a microcanonical “energy shell,” i.e., a subspace of the system’s Hilbert space spanned by the (finitely) many energy eigenstates with energies between E and E + δE. The thermal equilibrium macro-state at energy E corresponds to a subspace Heq of H such that dim Heq/ dim H is close to 1. We say that a system with state vector ψ H is in thermal equilibrium if ψ is “close” to Heq. We show that for “typical” Hamiltonians with given eigenvalues, all initial state vectors ψ0 evolve in such a way that ψt is in thermal equilibrium for most times t. This result is closely related to von Neumann’s quantum ergodic theorem of 1929.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library||
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Janneke van Lith (2001). Ergodic Theory, Interpretations of Probability and the Foundations of Statistical Mechanics. Studies in History and Philosophy of Modern Physics 32 (4):581--94.
A. Amann & H. Atmanspacher (1998). Fluctuations in the Dynamics of Single Quantum Systems. Studies in History and Philosophy of Science Part B 29 (2):151-182.
Hans L. Pécseli (2000). Fluctuations in Physical Systems. Cambridge University Press.
Brian Skyrms (2000). Stability and Explanatory Significance of Some Simple Evolutionary Models. Philosophy of Science 67 (1):94-113.
Amit Hagar (2004). Chance and Time. Dissertation, UBC
Added to index2009-11-21
Total downloads25 ( #120,994 of 1,726,249 )
Recent downloads (6 months)3 ( #231,316 of 1,726,249 )
How can I increase my downloads?