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Classical Mechanics as a Limit of Quantum Mechanics

✍ Scribed by J. Schröter

Publisher
John Wiley and Sons
Year
1969
Tongue
English
Weight
636 KB
Volume
478
Category
Article
ISSN
0003-3804

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✦ Synopsis

In this paper a formulation of classical mechanics is given with the help of linear operators in HILBERT space, which is different from the formalism of v. NEUMANN and KOOPMAN, i.e. the observables are represented by selfadjoint operators instead of real functions. It is shown that classical mechanics in this form fulfils the same axioms as quantum mechanics except those two ones which contain 8. But the corresponding classical axioms are got from the quantum mechanical ones substituting fi by 0.

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