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Quantization of a non-holonomic system with symmetry

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Il Nuovo Cimento B (1971-1996)

Summary

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.

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Authors and Affiliations

  1. Instituto de Física, Universidade Federal do Rio de Janeiro, Cidade Universitária, 21944, Rio de Janeiro, RJ, Brazil

    P. Pitanga

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  1. P. Pitanga
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Additional information

On leave from the Instituto de Matemáticas y Física Fundamental, CSIC, Madrid, Spain, under a CNPq No. 200583/84.

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Pitanga, P. Quantization of a non-holonomic system with symmetry. Il Nuovo Cimento B 109, 583–594 (1994). https://doi.org/10.1007/BF02728440

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  • DOI: https://doi.org/10.1007/BF02728440

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