publication . Article . Preprint . 2001

Statistical mechanics of generally covariant quantum theories: A Boltzmann-like approach

Merced Montesinos;
Open Access
  • Published: 22 Jan 2001 Journal: Classical and Quantum Gravity, volume 18, pages 555-569 (issn: 0264-9381, eissn: 1361-6382, Copyright policy)
  • Publisher: IOP Publishing
Abstract
We study the possibility of applying statistical mechanics to generally covariant quantum theories with a vanishing Hamiltonian. We show that (under certain appropiate conditions) this makes sense, in spite of the absence of a notion of energy and external time. We consider a composite system formed by a large number of identical components, and apply Boltzmann's ideas and the fundamental postulates of ordinary statistical physics. The thermodynamical parameters are determined by the properties of the thermalizing interaction. We apply these ideas to a simple example, in which the component system has one physical degree of freedom and mimics the constraint alge...
Subjects
free text keywords: Physics and Astronomy (miscellaneous), General Relativity and Quantum Cosmology, High Energy Physics - Theory, Quantum Physics
Funded by
NSF| Nonperturbative Quantum Gravity
Project
  • Funder: National Science Foundation (NSF)
  • Project Code: 9900791
  • Funding stream: Directorate for Mathematical & Physical Sciences | Division of Physics
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