9781402051685 - Precisely Predictable Dirac Observables (Fundamental Theories of Physics, 154, Band 154) von Cordes, Heinz Otto (6 Ergebnisse)

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Buch. Zustand: Neu. Neuware -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 ).Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 288 pp. Englisch.

Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 ).