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Discrete Symmetry Transformations

1996
In Sect. 4.3 we have studied the transformation properties of quantum fields. The discussion was devoted to continuous transformations that can be constructed by starting from infinitesimal transformations “close to unity”. If a theory is invariant under such a transformation it will possess a Noether current and thus there will be a conservation law ...
Walter Greiner, Joachim Reinhardt
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Gauging discrete symmetries

Journal of Mathematical Physics, 1995
Recent developments in quantum gravity theory have led to the suggestion that various discrete symmetries, in particular charge–parity (CP), should be ‘‘gauged,’’ that is, interpreted as elements of some connected Lie group. As the parity operator is related to a space–time isometry, however, it is far from clear that this suggestion has any real ...
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Continuous symmetries of discrete equations

Physics Letters A, 1991
Abstract Lie group techniques for solving differential equations are extended to differential-difference equations. As an application, it is shown that the two-dimensional Toda lattice has an infinite dimensional symmetry group with a Kac-Moody-Virasoro Lie algebra.
LEVI, Decio, WINTERNITZ P.
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Discrete Symmetry Groups

1988
Those discrete groups which play the central role in solid-state physics are the point groups and their extensions (double, colour groups), the translation groups, and the combination of both (the space groups). These groups and the meaning of their elements are discussed in the following sections.
Wolfgang Ludwig, Claus Falter
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Special Discrete Symmetries

1989
In the last two chapters of this book we return to symmetries which have a general significance in quantum mechanics. We shall begin with the discrete symmetries of space inversion and time reversal.
Walter Greiner, Berndt Müller
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Symmetries in Discrete-Time Mechanics

Annals of Physics, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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10.2 Discrete Symmetries

2008
1. The asymmetry of the zenith angle distribution of νμ of Super-Kamiokande is the direct evidence of νμ oscillations. 2. The first oscillation minimum was observed in the L/E distribution using the high resolution L/E sample of Super-Kamiokande. It confirms that the distortion of the zenith angle distribution is really due to neutrino oscillations and
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Symmetry-Preserving Discretization for DNS

2004
This paper describes a numerical method for solving the (incompressible) Navier-Stokes equations that is based on the idea that the motivation for discretizing differential operators should be to mimic their fundamental conservation and dissipation properties. Therefore, the symmetry of the underlying differential operators is preserved.
Verstappen, R.W.C.P.   +2 more
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Discrete Symmetries

2022
Kazuhiko Nishijima   +2 more
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Representation of Discrete Symmetry Operators

Journal of Mathematical Physics, 1966
Representations of discrete symmetry operators (DSO's) connected with space (𝒫), time (T), and generalized charge (𝒞) are considered. It is shown that if one writes a DSO as exp (iπΩ) × a phase transformation, then (under certain conditions on Ωs) to each DSO there corresponds a set of Ωs which is closed with respect a Lie algebra, which is isomorphic ...
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