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Classical Mechanics as a Limit of Quantum Mechanics
Author(s) -
Schröter J.
Publication year - 1969
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19694780104
Subject(s) - classical limit , formalism (music) , axiom , observable , quantum statistical mechanics , mathematical formulation of quantum mechanics , classical mechanics , analytical mechanics , quantum mechanics , physics , supersymmetric quantum mechanics , quantum , mathematics , mathematical physics , geometry , art , musical , visual arts
In this paper a formulation of classical mechanics is given with the help of linear operators in H ILBERT space, which is different from the formalism of v. N EUMANN and K OOPMAN , 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 ħ. But the corresponding classical axioms are got from the quantum mechanical ones substituting ħ by O.