Quantum mechanics in non-inertial reference frames: Time-dependent rotations and loop prolongations
TLDR
In this article, it was shown that the incorporation of rotational accelerations requires a class of loop prolongations of the Galilean line group and their unitary cocycle representations.About:
This article is published in Annals of Physics.The article was published on 2013-09-01 and is currently open access. It has received 4 citations till now. The article focuses on the topics: Inertial frame of reference & Group representation.read more
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Fictitious forces and simulated magnetic fields in rotating reference frames.
TL;DR: The phase shifts due to the rotation of Earth that have been observed in neutron interferometry experiments and the rotational effects that lead to simulated magnetic fields in optical lattices can be rigorously derived from the representations of the loop prolongations of the Galilean line group.
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Newton-Cartan Gravity in Noninertial Reference Frames
TL;DR: In this paper, the Ricci field equation and Gauss law are both fulfilled by the same physical matter density in inertial and linearly accelerating reference frames, but there appears a discrepancy between the two in rotating reference frames.
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Quantum mechanics in noninertial reference frames: Relativistic accelerations and fictitious forces
TL;DR: In this paper, one-particle systems in relativistically accelerating reference frames can be associated with a class of unitary representations of the group of arbitrary coordinate transformations, an extension of the Wigner-Bargmann definition of particles as the physical realization of a unitary irreducible representation of the Poincare group.
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In Memoriam: Sujeev Wickramasekara (1967-2015)
TL;DR: The obituary in Memoriam of Sujeev Wickramasekara, who died suddenly on December 28th 2015, is given in this paper, where the authors describe the following events:
References
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Cohomology Theory in Abstract Groups. III
Book
Lie Groups, Lie Algebras, Cohomology and some Applications in Physics
TL;DR: Cohomology of Lie algebras and group extensions by non-abelian kernels are discussed in this article, where an introduction to abstract group extension theory is given.
Book
Topics in the Foundations of General Relativity and Newtonian Gravitation Theory
TL;DR: In this article, Malament presents the basic logical-mathematical structure of general relativity and considers a number of special topics concerning the foundations of general relativistic and its relation to Newtonian gravitation theory.
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