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From a Unitary Symmetry Hypothesis to Dynamical Structures in Quantum Mechanics Models

In: Integral Methods in Science and Engineering

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  • B. E. J. Bodmann

    (Federal University of Rio Grande do Sul)

Abstract

In the present discussion, we show how starting from an initial symmetry hypothesis one may derive the most general dynamical structure in agreement with underlying symmetries. In the present case, a combined local unitary and chiral transformation was exploited to progressively construct a model which in the end exhibits the considered symmetries. Comparing the obtained structure to existing models, one observes the similarity to the Standard Model; however, in the latter, the Higgs sector was constructed so that its contribution generates the mass terms of the constituting particles by means of a spontaneous symmetry breaking. Differently, the present approach generates the non-linear interaction terms as a genuine symmetry consequence.

Suggested Citation

  • B. E. J. Bodmann, 2022. "From a Unitary Symmetry Hypothesis to Dynamical Structures in Quantum Mechanics Models," Springer Books, in: Christian Constanda & Bardo E.J. Bodmann & Paul J. Harris (ed.), Integral Methods in Science and Engineering, chapter 0, pages 35-50, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-07171-3_3
    DOI: 10.1007/978-3-031-07171-3_3
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