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Title: Six-dimensional space-time from quaternionic quantum mechanics
Authors: Brody, DC
Graefe, E-M
Keywords: Astronomy & Astrophysics;Physics;Particles & Fields
Issue Date: 2011
Publisher: American Physical Society
Citation: Physical Review D, 84(12), Article 125016, 2011
Abstract: Quaternionic quantum Hamiltonians describing nonrelativistic spin particles require the ambient physical space to have five dimensions. The quantum dynamics of a spin- 1/2 particle system characterized by a generic Hamiltonian is worked out in detail. It is shown that there exists, within the structure of quaternionic quantum mechanics, a canonical reduction to three spatial dimensions upon which standard quantum theory is retrieved. In this dimensional reduction, three of the five dynamical variables are shown to oscillate around a cylinder, thus behaving in a quasi-one dimensional manner at large distances. An analogous mechanism is shown to exist in the case of octavic Hamiltonians, where the ambient physical space has nine dimensions. Possible experimental tests in search for the signature of extra dimensions at low energies are briefly discussed
Description: © 2011 American Physical Society
ISSN: 1550-7998
Appears in Collections:Publications
Dept of Mathematics Research Papers
Mathematical Sciences

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