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Non-Lie Point Symmetry and Coherent Soliton Solutions of Nizhnik-Novikov-Veselov Equation
Lax pair symmetries symmetry group exact solution
2012/9/24
A new method is presented to find the finite symmetry groups of nonlinear physics systems. For the (2+1)-dimensional Nizhnik-Novikov-Veselov (NNV) equation, both the Lie point symmetry and the non-Lie...
Chiral symmetry breaking revisited: the gap equation with lattice ingredients
Chiral symmetry breaking revisited the gap equation lattice ingredients
2010/12/27
We study chiral symmetry breaking in QCD, using as ingredients in the quark gap equation recent lattice results for the gluon and ghost propagators. The Ansatz employed for the quark-gluon vertex is ...
Dirac Equation with Spin Symmetry for the Modified Pöschl-Teller Potential in $D$-dimensions
Dirac Equation Spin Symmetry Modified Pö schl-Teller Potential $D$-dimensions
2010/11/11
We present solutions of the Dirac equation with spin symmetry for vector and scalar modified P\"oschl-Teller potential within framework of an approximation of the centrifugal term. The relativistic e...
Stability of low-friction surface sliding of nanocrystals with rectangular symmetry and application to W on NaF(001)
low-friction surface sliding hexagonal lattices rectangular symmetry
2010/4/6
We investigate the stability of low-friction sliding of nanocrystal with rectangular atomic arrangement on rectangular lattices, for which analytical results can be obtained. We find that several inco...
Entanglement and symmetry in permutation symmetric states
Entanglement symmetry permutation symmetric states
2010/3/10
We investigate the relationship between multipartite entanglement and symmetry, focusing on permutation symmetric states. We use the Majorana representation, where these states correspond to points on...
Local symmetry properties of pure 3-qubit states
Local symmetry properties pure 3-qubit states
2010/10/15
Entanglement types of pure states of three spin- 1 2 particles are classified by means of their stabilisers in the group of local unitary transformations. It is shown that the stabiliser is genericall...