593 citations
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8 papers · 1 filter
Loop prolongations and three-cocycles in simulated magnetic fields from rotating reference frames
W. H. Klink, S. Wickramasekara
We show that the Wigner-Bargmann program of grounding non-relativistic quantum mechanics in the unitary projective representations of the Galilei group can be extended to include a…
Quantum Mechanics in non-inertial reference frames: time-dependent rotations and loop prolongations
W. H. Klink, S. Wickramasekara
This is the fourth in a series of papers on developing a formulation of quantum mechanics in non-inertial reference frames. This formulation is grounded in a class of unitary cocyc…
Quantum Mechanics in Noninertial Reference Frames: Violations of the Nonrelativistic Equivalence Principle
W. H. Klink, S. Wickramasekara
In previous work we have developed a formulation of quantum mechanics in non-inertial reference frames. This formulation is grounded in a class of unitary cocycle representations o…
Point-form dynamics of quasistable states
M. Gadella, F. Gómez-Cubillo, L. Rodriguez +1
We present a field theoretical model of point-form dynamics which exhibits resonance scattering. In particular, we construct point-form Poincaré generators explicitly from field op…
Unitary representations of the Galilean line group: Quantum mechanical principle of equivalence
B. R. MacGregor, A. E. McCoy, S. Wickramasekara
We present a formalism of Galilean quantum mechanics in non-inertial reference frames and discuss its implications for the equivalence principle. This extension of quantum mechanic…
Racah's method for general subalgebra chains: Coupling coefficients of SO(5) in canonical and physical bases
M. A. Caprio, K. D. Sviratcheva, A. E. McCoy
It is shown that the method of infinitesimal generators ("Racah's method") can be broadly and systematically formulated as a method applicable to the calculation of reduced couplin…