Unitary quantum physics with time-space noncommutativity View Full Text


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Article Info

DATE

2004-10-30

AUTHORS

Aiyalam P. Balachandran, Thupil R. Govindarajan, Carlos Molina Mendes, Paulo Teotonio-Sobrinho

ABSTRACT

In this work quantum physics in noncommutative spacetime is developed. It is based on the work of Doplicher et al. which allows for time-space noncommutativity. The Moyal plane is treated in detail. In the context of noncommutative quantum mechanics, some important points are explored, such as the formal construction of the theory, symmetries, causality, simultaneity and observables. The dynamics generated by a noncommutative Schrödinger equation is studied. We prove in particular the following: suppose the hamiltonian H of a quantum mechanical particle on spacetime N−1 × has no explicit time dependence, and the spatial coordinates commute in its noncommutative form (the only noncommutativity being between time and a space coordinate). Then the noncommutative version Ĥ of H and H have identical spectra. More... »

PAGES

072

References to SciGraph publications

  • 1995-08. The quantum structure of spacetime at the Planck scale and quantum fields in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2004-05-22. Troubles with spacetime noncommutative theories: tachyons or S-branes? in JOURNAL OF HIGH ENERGY PHYSICS
  • 2002-06-24. Cosmological perturbations and short distance physics from Noncommutative Geometry in JOURNAL OF HIGH ENERGY PHYSICS
  • 2001-05. Space-time noncommutativity, discreteness of time and unitarity in THE EUROPEAN PHYSICAL JOURNAL C
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1088/1126-6708/2004/10/072

    DOI

    http://dx.doi.org/10.1088/1126-6708/2004/10/072

    DIMENSIONS

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