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
2005
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), .
(doi:10.1119/1.1811622).
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: 15 Mar 2024 07:32
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Peter T. Landsberg
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