Quantization of a non-holonomic system with symmetry
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We study a two-dimensional non-holonomic system with symmetry groupG. The classical theory is studied using the orthogonal-projector method, while the quantum mechanics is obtained by group-theoretical means after reducing the classical phase space. We show that the solution of the Schrödinger equation of the system is compatible with the modified quantum vonstraint, in accordance with the BRST prescription.
KeywordsPACS 03.20 Classical mechanics of discrete systems: general mathematical aspects PACS 03.65.Bz Foundations theory of measurement miscellaneous theories PACS 03.65.Fd Algebraic methods
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- M. De Léon andP. R. Rodrigues:Rend. Mat.,8, 105 (1988).Google Scholar