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Precisely Predictable Dirac Observables - Heinz Otto Cordes

Precisely Predictable Dirac Observables

Buch | Hardcover
269 Seiten
2006
Springer-Verlag New York Inc.
978-1-4020-5168-5 (ISBN)
CHF 149,75 inkl. MwSt
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) ? =0 , ? = Laplacian = ? Hereitmaybenotedthattheoperator1??hasawellde?nedpositive square root as unbounded self-adjoint positive operator of the Hilbert 2 3 spaceH = L (R ).
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 ).

Dirac Observables and ?do-s.- Why Should Observables be Pseudodifferential?.- Decoupling with ?do-s.- Smooth Pseudodifferential Heisenberg Representation.- The Algebra of Precisely Predictable Observables.- Lorentz Covariance of Precise Predictability.- Spectral Theory of Precisely Predictable Approximations.- Dirac and Schrödinger Equations; a Comparison.

Reihe/Serie Fundamental Theories of Physics ; 154
Zusatzinfo XIX, 269 p.
Verlagsort New York, NY
Sprache englisch
Maße 155 x 235 mm
Themenwelt Naturwissenschaften Physik / Astronomie Allgemeines / Lexika
Naturwissenschaften Physik / Astronomie Mechanik
Naturwissenschaften Physik / Astronomie Quantenphysik
Naturwissenschaften Physik / Astronomie Theoretische Physik
ISBN-10 1-4020-5168-9 / 1402051689
ISBN-13 978-1-4020-5168-5 / 9781402051685
Zustand Neuware
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