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Discrete symmetries of low-dimensional Dirac models: A selective review with a focus on condensed-matter realisations
relativistic quantum physics reduced dimensionality Dirac Hamiltonians quasi-relativity in solids
2012/6/15
The most fundamental characteristics of a physical system can often be deduced from its behaviour under discrete symmetry transformations such as time reversal, parity and chirality. Here we review ba...
Dynamical Symmetries of Dirac Hamiltonian
Dynamical Symmetries Dirac Hamiltonian High Energy Physics - Phenomenology
2011/10/10
Abstract: Several dynamical symmetries of the Dirac hamiltonian are reviewed in a systematic manner and the conditions under which such symmetries hold. These includes relativistic spin and orbital an...
Hidden Symmetries for Ellipsoid-Solitonic Deformations of Kerr-Sen Black Holes and Quantum Anomalies
Hidden symmetries in general relativity gravitational anomalies nonholonomic deformations
2011/7/25
Abstract: We prove the existence of hidden symmetries in the general relativity theory defined by exact solutions with generic off-diagonal metrics, nonholonomic (non-integrable) constraints, and defo...
Lie symmetries and related group-invariant solutions of a nonlinear Fokker-Planck equation based on the Sharma-Taneja-Mittal entropy
Nonlinear Fokker-Planck equation Sharma-Taneja-Mittal entropy Lie symmetries Group invariant solutions
2010/7/5
In the framework of the statistical mechanics based on the Sharma-Taneja-Mittal entropy we derive a family of nonlinear Fokker-Planck equations characterized by the associated non-increasing Lyapunov ...
Conditional Symmetries and Solutions to a Class of Nonlinear
Diffusion-Convection Equations
symmetry nonlinear diffusion--convection
equation conditional symmetry exact solution
2007/8/15
2006Vol.46No.4pp.668-674DOI:
Conditional Symmetries and Solutions to a Class of Nonlinear
Diffusion-Convection Equations
JI Li-Na1,2,3 and QU Chang-Zheng1,2
1 Center for...
Potential Symmetries to a System of Three-Component
Nonlinear Diffusion Equations
Lie point symmetry potential symmetry nonlinear
diffusion equation group-invariant solutions
2007/8/15
2006Vol.45No.2pp.193-198DOI:
Potential Symmetries to a System of Three-Component
Nonlinear Diffusion Equations
XUE Chun-Rong1,2 and QU Chang-Zheng1,2
1 Center for Nonlin...
Symmetries and Similarity Reductions of Nonlinear Diffusion
Equation
inverse of recursion operator diffusion equation
similarity reduction
2007/8/15
2004Vol.42No.2pp.201-205DOI:
Symmetries and Similarity Reductions of Nonlinear Diffusion
Equation
LI Hui-Jun and RUAN Hang-Yu
Department of Physics, Ningbo University, N...