Graduate studies at Western
|Abstract||A mathematical framework that unifies the standard formalisms of special relativity and quantum mechanics is proposed. For this a Hilbert space H of functions of four variables x,t furnished with an additional indefinite inner product invariant under Poincare transformations is introduced. For a class of functions in H that are well localized in the time variable the usual formalism of non-relativistic quantum mechanics is derived. In particular, the interference in time for these functions is suppressed; a motion in H becomes the usual Shrodinger evolution with t as a parameter. The relativistic invariance of the construction is proved. The usual theory of relativity on Minkowski space-time is shown to be ``isometrically and equivariantly embedded'' into H. That is, classical space-time is isometrically embedded into H, Poincare transformations have unique extensions to isomorphisms of H and the embedding commutes with Poincare transformations.|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Only published papers are available at libraries|
Similar books and articles
W. M. de Muynck (1995). Measurement and the Interpretation of Quantum Mechanics and Relativity Theory. Synthese 102 (2):293-318.
W. M. De Muynck (1995). Measurement and the Interpretation of Quantum Mechanics and Relativity Theory. Synthese 102 (2):293 - 318.
Roger Penrose & C. J. Isham (eds.) (1986). Quantum Concepts in Space and Time. New York ;Oxford University Press.
Joseph Berkovitz & Meir Hemmo (2005). Modal Interpretations of Quantum Mechanics and Relativity: A Reconsideration. [REVIEW] Foundations of Physics 35 (3):373-397.
Mario Bacelar Valente, Did the Concepts of Space and Time Change That Much with the 1905 Theory of Relativity?
Added to index2009-01-28
Total downloads7 ( #142,523 of 738,687 )
Recent downloads (6 months)1 ( #61,778 of 738,687 )
How can I increase my downloads?