Semantic Foundation of the Quantization Program

Part of the Studies in the Foundations, Methodology and Philosophy of Science book series (FOUNDATION, volume 4)


It is a well-known result of VON Neumann [1] that the representation of the commutation relations of the basic dynamical variables of quantum theory is unique modulo a unitary transformation. This result, valid only for systems having finite numbers of degrees of freedom, seems to imply that, for such mechanical systems, the procedure of quantization is not sensitive to the particular choice of classical canonical variables which one initially employs. This implication is in fact false. The choice of canonical variables which one employs to initiate a quantization of a given classical theory is quite critical.


Dynamical Variable Unitary Transformation Semantic Content Canonical Transformation Canonical Quantization 
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Copyright information

© Springer-Verlag Berlin · Heidelberg 1971

Authors and Affiliations

  1. 1.Department of Physics, Belfer Graduate School of ScienceYeshiva UniversityNew YorkUSA

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