|
|
|||
|
||||
OverviewThis work presents a Clean Quantum Theory of the Electron, based on Diraca (TM)s equation. Clean in the sense of a complete mathematical explanation of the well known paradoxes of Diraca (TM)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 A1/2) 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, a 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. Mathematically, our tools consist of the study of a pseudo-differential operator (i.e. an observable ) under conjugation with the Dirac propagator: such an operator has a symbol approximately propagating along classical orbits, while taking its spin along. This is correct only if the operator is precisely predictable, that is, it must approximately commute with the Dirac Hamiltonian, and, in a sense, will preserve the subspaces of electronic and positronic states of the underlying Hilbert space. Full Product DetailsAuthor: Heinz Otto CordesPublisher: Springer Imprint: Springer ISBN: 9786610744039ISBN 10: 6610744033 Pages: 287 Publication Date: 01 January 2006 Audience: General/trade , General Format: Electronic book text Publisher's Status: Active Availability: Out of stock The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsReviewsFrom the reviews: <p> In this very interesting book, the author proposes a modification of Diraca (TM)s theory of the electron, that he believes to be free of the systematic well-known difficulties that give rise to the usual paradoxes. a ] the direction he describes in this book is promising, and will hopefully open the way to the construction of a more general framework. (Alberto Parmeggiani, Mathematical Reviews, Issue 2008 j) <p> In this book Heinz Otto Cordes tries to make a contribution from the point of view of a mathematician, and it is certainly an interesting one. a ] it is very pleasant reading for the more mathematically inclined person, and those with some interest in physics will enjoy the many insightful remarks about quantum mechanics immersed in the text. I warmly recommend this book to mathematicians and mathematical physicists interested in the Dirac equation. (Bernd Thaller, SIAM Review, Vol. 50 (2), 2008) Author InformationTab Content 6Author Website:Countries AvailableAll regions |