Some Peculiarities of Newton-Hooke Space-Times

Preprint English OPEN
Tian, Yu (2011)
  • Related identifiers: doi: 10.1142/S0218271811019761
  • Subject: General Relativity and Quantum Cosmology | Mathematical Physics | High Energy Physics - Theory | Quantum Physics
    arxiv: Mathematics::Representation Theory | Mathematics::Combinatorics | Astrophysics::High Energy Astrophysical Phenomena

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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