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Geometric symmetries in superfluid vortex dynamics     Quantization  vortex line  fluid dynamics  fluid flow  vortex dynamics       font style='font-size:12px;'> 2014/12/18
Dynamics of quantized vortex lines in a superfluid feature symmetries associated with the geometric character of the complex-valued field, w(z)=x(z)+iy(z), describing the instant shape of the line. Al...
Dynamics of quantized vortex lines in a superfluid feature symmetries associated with the geometric character of the complex-valued field, w(z)=x(z)+iy(z), describing the instant shape of the line. Al...
We apply the non-Noether symmetry theory for mechanical systems to Lagrange–Maxwell mechanico-electrical systems. For these systems, we derive the Lutzky conserved quantities from the corresponding e...
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...
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...
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...
Symmetries and Strings in Field Theory and Gravity     Symmetries  Strings in Field Theory        font style='font-size:12px;'> 2010/12/24
We discuss aspects of global and gauged symmetries in quantum field theory and quantum gravity, focusing on discrete gauge symmetries. An effective Lagrangian description of $\Z_p$ gauge theories sho...
We construct analytic extensions across the Killing horizons of non-extremal and extremal dipole black rings in Einstein-Maxwell’s theory using different methods. We show that these extensions are n...
Coarse graining theories with gauge symmetries      Coarse graining theories  gauge symmetries        font style='font-size:12px;'> 2011/1/14
Discretizations of continuum theories often do not preserve the gauge symmetry content. This occurs in particular for diffeomorphism symmetry in general relativity, which leads to severe difficultie...
The Ricci and energy-momentum tensors have the same algebraic sym-metries. In the Einstein equations they look “dual” to each other, in that interchang-ing them and inverting the gravitational couplin...
We show how the constant curvature spacetimes of 3d gravity and the associated symmetry algebras can be derived from a single quantum deformation of the 3d Lorentz algebra sl(2,R). We investigate the ...
We review the Lagrangian formulation of Noether symmetries (as well as "generalized Noether symmetries") in the framework of Calculus of Variations in Jet Bundles, with a special attention to so-calle...
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 ...
We characterize the conditions under which a translationally invariant matrix product state (MPS) is invariant under local transformations. This allows us to relate the symmetry group of a given state...
2007Vol.47No.6pp.975-980DOI: Approximate Generalized Conditional Symmetries for Perturbed Evolution Equations ZHANG Shun-Li,1,2 WANG Yong,1 and LOU Sen-Yue2 1 Center for...

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