Precisely Predictable Dirac Observables. 1st ed. 2007

種類:

電子ブック

責任表示:

by Heinz Otto Cordes

出版情報:

Dordrecht : Springer Netherlands : Imprint: Springer, 2007

著者名:

• Cordes, Heinz Otto.
• SpringerLink (Online service)

シリーズ名:

Fundamental Theories of Physics ; 154

ISBN:

9781402051692 [1402051697]    

注記:

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.
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, including the motion of a magnetic moment (spin) in the given field, all for a charged particle (of spin ½) moving in a given electromagnetic field. This theory is relativistically covariant, and it may be regarded as a mathematically consistent quantum-mechanical generalization of the classical motion of such a particle, à la Newton and Einstein. Normally, our fields are time-independent, but also discussed is the time-dependent case, where slightly different features prevail. A "Schroedinger particle", such as a light quantum, experiences a very different (time-dependent) "Precise Predictablity of Observables". An attempt is made to compare both cases. There is not the Heisenberg uncertainty of location and momentum; rather, location alone possesses a built-in uncertainty of mea

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