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JHEP10(2004)072 doi: 10.1088/1126-6708/2004/10/072
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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
of H and H have identical spectra.
Key words: Field Theories in Lower Dimensions; Non-Commutative Geometry
E-print number: hep-th/0406125
Cited: by
Refers: to
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