Physics
Scientific paper
Dec 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002nmgm.meet.1350m&link_type=abstract
"THE NINTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and R
Physics
Scientific paper
It was argued recently that in Quantum Mechanics (QM) the correct definition of physical reference frame (RF) must differ principally from universally accepted one. [1]. The reason is that in exact theory the quantum properties of any massive object M1 with which physical RF F1 associated must be taken into account, despite their possible smallness in laboratory conditions. Consequently F1 evolution must obey to Schrodinger equation, and its free state relative to external observer at rest F0 is the localizable wave packet Ψ(x1,t), not the classical trajectory. As the example F1 can be rocket in outer space and F0 earth, M0 → ∞. If F1 localized state Ψ(x,t0) ~ δ(x) prepared by F0 it will smear in space unrestrictedly with the time σx ~ t1/2. This smearing introduces additional uncertainty into the measurement of particles mi space coordinates by F1 xi1 = xi-x1 in F1, because x1 is also operator, mi states transformations between two such quantum RFs includes quantum corrections to Galilean transformations, which depends on RFs states vectors [1]. Consistent nonrelativistic quantization in such RFs of free particles mi and other quantum systems in two alternative formalisms was proposed [2]...
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