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Pauli, an ergodic theorem and related matters

Pauli, an ergodic theorem and related matters
Pauli, an ergodic theorem and related matters
Time averages are important in physics and in statistical mechanics. An ergodic theorem is a way of justifying the replacement of time averages by averages in phase space. A derivation of this theorem from quantum mechanics was given by von Neumann in 1929. Pauli and Fierz found a shorter argument in 1937. They agreed that for ergodicity to hold there should be no energy degeneracy in the Hamiltonian. I trace the circumstances and consequences of a disproof of these arguments.
119-121
Landsberg, Peter T.
cd811241-233f-4791-baa6-3c1abfc4cf8b
Landsberg, Peter T.
cd811241-233f-4791-baa6-3c1abfc4cf8b

Landsberg, Peter T. (2005) Pauli, an ergodic theorem and related matters. American Journal of Physics, 73 (2), 119-121. (doi:10.1119/1.1811622).

Record type: Article

Abstract

Time averages are important in physics and in statistical mechanics. An ergodic theorem is a way of justifying the replacement of time averages by averages in phase space. A derivation of this theorem from quantum mechanics was given by von Neumann in 1929. Pauli and Fierz found a shorter argument in 1937. They agreed that for ergodicity to hold there should be no energy degeneracy in the Hamiltonian. I trace the circumstances and consequences of a disproof of these arguments.

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Published date: 2005

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Local EPrints ID: 29512
URI: http://eprints.soton.ac.uk/id/eprint/29512
PURE UUID: 18144a87-84b3-4b63-810c-b318f834335d

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Date deposited: 11 May 2006
Last modified: 08 Jan 2022 18:56

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Author: Peter T. Landsberg

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