Title: Comparison of classical and quantum universes within the empirical logic approach
Language: English
Authors: Biehl, Martin 
Qualification level: Diploma
Keywords: Empirische Logik; Operationelle Statistik; Grundlagen der Quantenmechanik; Quantenlogik; Mathematische Metawissenschaft; Grundlagen der Klassischen Mechanik
Empirical Logic; Operational Statistics; Foundations of Quantum Mechanics; Quantum Logic; Mathematical Metascience; Operational Quantum Logic; Foulis Randall Approach; Foundations of Classical Mechanics
Advisor: Svozil, Karl
Issue Date: 2009
Number of Pages: 84
Qualification level: Diploma
This work employs the empirical logic approach of D. Foulis and C. Randall to compare non-relativistic, conservative, non-compound physical systems (universes) in classical and quantum mechanics. We present definitions of test spaces, propositions, proposition logics, statistical states, observables, and dynamical systems. Then we try to identify their mathematical representatives for both, classical and quantum universes. Except for the case of the dynamical system, which is not defined for classical universes, the definitions prove to be general enough to apply to both cases.
Necessary mathematical tools not generally known to physicists are also treated in a concise fashion. These include some basic theory of partially ordered sets (posets) and lattices, in particular boolean and orthomodular lattices.
URI: https://resolver.obvsg.at/urn:nbn:at:at-ubtuw:1-26747
Library ID: AC05040074
Organisation: E136 - Institut für Theoretische Physik 
Publication Type: Thesis
Appears in Collections:Thesis

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