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arXiv:physics/0404136 · Journal of Experimental and Theoretical Physics Letters

State-dependent dynamical variables in quantum theory

Peter Leifer

Published Sep 1, 2004• 8 citations
arXivHTMLPDF

Abstract

State-dependent local dynamical variables (LDVs) sharply differ from the ordinary operators of quantum mechanics. The N -level model system shows the physical importance of such operators in the complex projective Hilbert state space CP(N −1). The process of quantum measurement in terms of LDVs is described.
DOI
10.1134/1.1825125

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Abstract The influence of various choices of dynamic variables in quantum theory on the interpretation of measurement results and experiments are discussed. Dynamic variables in the generally accepted quantum mechanics have no visual sense, which in turn leads to the loss of the image of the studied phenomena and processes of the microworld. Thus, quantum mechanics forces us to abandon the possibility of even mentally imagining the conditions that determine the behavior of an individual system in a quantum region. Also, various representations of the wave function and their use in solving dynamic equations are shown. By now, quantum mechanics is not a complete theory. It resembles classical (Newtonian) mechanics, which explains how movement occurs as a result of the action of certain forces, but does not say what kind of forces it is. Thus, before the advent of basic theories, the application of quantum mechanics to specific physical problems always implied the need to build certain guesses about the nature of these forces.
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