Precisely Predictable Dirac Observables (Fundamental Theories of Physics, 154)

Cordes, Heinz Otto

ISBN 10: 9048172993 / ISBN 13: 9789048172993

Edité par Springer, 2010

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N° de réf. du vendeur ria9789048172993_new

Détails bibliographiques

• Titre: Precisely Predictable Dirac Observables (Fundamental Theories of Physics, 154)
• Éditeur: Springer
• Date de parution: 2010
• Langue: anglais
• ISBN à 10 chiffres: 9048172993
• ISBN à 13 chiffres: 9789048172993
• Reliure: Couverture souple
• État de l'article: New

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Synopsis

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 ).