HIDDEN SYMMETRIES OF CONSTRAINED SYSTEMS-Reference-Cited by-同舟云学术

HIDDEN SYMMETRIES OF CONSTRAINED SYSTEMS

Published:2002-11-10 Issue:28 Volume:17 Page:4025-4042
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

NEVES C.¹,WOTZASEK C.²

Affiliation:

1. Departamento de Física, ICE, Universidade Federal de Juiz de Fora, 36036-330, Juiz de Fora, MG, Brazil

2. Instituto de Física, Universidade Federal do Rio de Janeiro, 21945-970, Rio de Janeiro, Brazil

Abstract

In this work, constraint conversion techniques are used to disclose the role of the second-class constraints as generator of hidden symmetries. The example of the SU(2) Skyrme model is thoroughly investigated in this approach. This study is generalized to a set of second-class surfaces of arbitrary geometries resulting from the semiclassical quantization of the collective mode of nonlinear field theories. The consequences of the hidden symmetry over the physical spectrum and the ordering ambiguity problem are explored.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X02010844

Reference27 articles.

1. Quantum mechanics with constraints

2. Quantum mechanics of a constrained particle

3. Physical relation between quantum mechanics and solitons on a thin elastic rod

4. Fermions near two-dimensional surfaces

5. Algebraic and Hamiltonian methods in the theory of non-Abelian anomalies

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