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- Title
Spinless Duffin-Kemmer-Petiau Oscillator in a Galilean Non-commutative Phase Space.
- Authors
Melo, G.; Montigny, M.; Santos, E.
- Abstract
We examine Galilei-invariant linear wave equations in a non-commutative phase space. Specifically, we establish and solve the Galilean covariant Duffin-Kemmer-Petiau equation for spin-0 fields in a harmonic oscillator potential. We obtain these wave equations with a Galilean covariant approach, based on a (4+1)-dimensional manifold with light-cone coordinates followed by a reduction to a (3+1)-dimensional spacetime. We find the exact wave functions and their energy levels, and we examine the effects of non-commutativity.
- Subjects
PHASE space; WAVE equation; DUFFING equations; NONCOMMUTATIVE function spaces; HARMONIC oscillators; GALILEAN group; ANALYSIS of covariance; WAVE functions
- Publication
International Journal of Theoretical Physics, 2012, Vol 51, Issue 8, p2524
- ISSN
0020-7748
- Publication type
Article
- DOI
10.1007/s10773-012-1132-8