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The Noncommutative Harmonic Oscillator Based on Symplectic Representation of Galilei Group

We study symplectic unitary representations for the Galilei group and derive the Schr¨odinger equation in phase space. Our formalism is based on the noncommutative structure of the star product. Guided by group theoretical concepts, we construct a physically consistent phase-space theory in which ea...

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Bibliografiska uppgifter
I publikationen:Brazilian Journal of Physics
Huvudupphov: R. G. G. Amorim, S. C. Ulhoa, A. E. Santana
Materialtyp: Artigo
Språk:Inglês
Utgiven: Sociedade Brasileira de Física 2013
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Länkar:https://www.redalyc.org/articulo.oa?id=46425766005
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