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Precisely Predictable Dirac Observables

Precisely Predictable Dirac Observables

Paperback

Series: Fundamental Theories of Physics, Book 154

Physics

ISBN10: 9048172993
ISBN13: 9789048172993
Publisher: Springer Nature
Published: Nov 18 2010
Pages: 269
Weight: 0.92
Height: 0.62 Width: 6.14 Depth: 9.21
Language: English
In this book we are attempting to o?er a modi?cation of Dirac's theory of the electron we believe to be free of the usual paradoxa, so as perhaps to be acceptable as a clean quantum-mechanical treatment. While it seems to be a fact that the classical mechanics, from Newton to E- stein's theory of gravitation, o?ers a very rigorous concept, free of contradictions and able to accurately predict motion of a mass point, quantum mechanics, even in its simplest cases, does not seem to have this kind of clarity. Almost it seems that everyone of its fathers had his own wave equation. For the quantum mechanical 1-body problem (with vanishing potentials) let 1 us focus on 3 di?erent wave equations: (I) The Klein-Gordon equation 3 2 2 2 2 (1) ? ?/'t +(1 )? =0, ? = Laplacian = ? /?x . j 1 This equation may be written as ? ? (2) (?/?t?i 1 )(?/'t +i 1 )? =0 . Hereitmaybenotedthattheoperator1 hasawellde?nedpositive square root as unbounded self-adjoint positive operator of the Hilbert 2 3 spaceH = L (R ).

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Physics