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 ).
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This work presents a Clean Quantum Theory of the Electron, based on Dirac's equation. 'Clean' in the sense of a complete mathematical explanation of the well known paradoxes of Dirac's theory and a connection to classical theory. It discusses the existence of an accurate split between physical states belonging to the electron and to the positron as well as the fact that precisely predictable observables must preserve this split. 296 pp. Englisch. N° de réf. du vendeur 9789048172993
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. 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 296 pp. Englisch. N° de réf. du vendeur 9789048172993
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Taschenbuch. Etat : 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 ). N° de réf. du vendeur 9789048172993
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