Localization problem in quantum mechanics and preferred frame

Details Localization problem in quantum mechanics and preferred frame Localization problem in quantum mechanics and preferred frame

Dec 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998aipc..453..199c&link_type=abstract

Particles, fields and gravitation. AIP Conference Proceedings, Volume 453, pp. 199-208 (1998).

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Theory Of Quantized Fields, Field Theory, Algebraic Methods

Scientific paper

In this paper the localization problem in the relativistic quantum mechanics is considered in the framework of a nonstandard synchronization scheme for clocks. Such a synchronization preserves Poincaré covariance but (at least formally) distinguishes an inertial frame. Our analysis has been focused mainly on the problem of existence of a proper position operator for massive particles. We have found the explicit form of the position operator and have demonstrated that in the preferred frame our operator coincides with the Newton-Wigner one. Moreover, full algebra of observables consisting of position operators and fourmomentum operators is manifestly Poincaré covariant in this framework. Our results support expectations of other authors (Bell [1], Eberhard [3]) that a consistent formulation of quantum mechanics demands existence of a preferred frame.

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