Spinless Duffin-Kemmer-Petiau Oscillator in a Galilean Non-commutative Phase Space |
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| Authors: | G. R. de Melo M. de Montigny E. S. Santos |
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| Affiliation: | (1) N?cleo Interdisciplinar em Ci?ncia, Engenharia e Tecnologia Centro de Ci?ncias Exatas e Tecnol?gicas, Universidade Federal do Rec?ncavo da Bahia, 44380-000 Campus Universit?rio de Cruz das Almas, Cruz das Almas, Bahia, Brazil;(2) Theoretical Physics Institute, University of Alberta, T6G 2E1 Edmonton, Alberta, Canada;(3) Facult? Saint-Jean, University of Alberta, T6C 4G9 Edmonton, Alberta, Canada;(4) Instituto de F?sica, Universidade Federal da Bahia, 40210-340 Salvador, Bahia, Brazil |
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| 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. |
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