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Symmetry, Volume 5, Issue 3

September 2013 - 2 articles

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Article

3 Citations

4,834 Views

18 Pages

Supersymmetric Version of the Euler System and Its Invariant Solutions

A. Michel Grundland and
Alexander J. Hariton

Symmetry2013, 5(3), 253-270;https://doi.org/10.3390/sym5030253

12 July 2013

In this paper, we formulate a supersymmetric extension of the Euler system of equations. We compute a superalgebra of Lie symmetries of the supersymmetric system. Next, we classify the one-dimensional subalgebras of this superalgebra into 49 equivale...

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Article

10 Citations

7,548 Views

20 Pages

Symmetries Shared by the Poincaré Group and the Poincaré Sphere

Young S. Kim and
Marilyn E. Noz

Symmetry2013, 5(3), 233-252;https://doi.org/10.3390/sym5030233

27 June 2013

Henri Poincaré formulated the mathematics of Lorentz transformations, known as the Poincaré group. He also formulated the Poincaré sphere for polarization optics. It is shown that these two mathematical instruments can be derived from the two-by-two...

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