Some Peculiarities of Newton-Hooke Space-Times

Details Some Peculiarities of Newton-Hooke Space-Times Some Peculiarities of Newton-Hooke Space-Times

2011-09-18

arxiv.org/abs/1109.3875v2

Int.J.Mod.Phys.D20:2223-2238,2011

Physics

Mathematical Physics

20 pages, revtex4, a slightly shortened version to appear in IJMPD; v2: added a reference

Scientific paper

10.1142/S0218271811019761

Newton-Hooke space-times are the non-relativistic limit of (anti-)de Sitter space-times. We investigate some peculiar facts about the Newton-Hooke space-times, among which the "extraordinary Newton-Hooke quantum mechanics" and the "anomalous Newton-Hooke space-times" are discussed in detail. Analysis on the Lagrangian/action formalism is performed in the discussion of the Newton-Hooke quantum mechanics, where the path integral point of view plays an important role, and the physically measurable density of probability is clarified.

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