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Geometric symmetries in superfluid vortex dynamics
Quantization vortex line fluid dynamics fluid flow vortex dynamics
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...
Comment on "Symmetries and Interaction Coefficients of Kelvin waves" [arXiv:1005.4575] by Lebedev and L'vov
Quantization super fluid dynamics fluid vortex dynamics
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...
Non-Noether Symmetries and Lutzky Conserved Quantities for Mechanico-Electrical Systems
Mechanico-electrical system Non-Noether symmetry Lutzky conserved quantity
2012/8/7
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...
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...
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...
Maximal Analytic Extension and Hidden Symmetries of the Dipole Black Ring
Maximal Analytic Extension Hidden Symmetries Dipole Black Ring
2010/12/21
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...
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...
Do the Ricci and energy-momentum tensors have "duality'' in the context of their Lie symmetries?
Ricci energy-momentum tensors
2010/12/20
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...
Three-dimensional gravity and Drinfel'd doubles: spacetimes and symmetries from quantum deformations
gravity Chern–Simons theory deformation spacetime anti-de Sitter hyperbolic cosmological constant contraction
2010/3/18
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 ...
Noether Symmetries and Covariant Conservation Laws in Classical, Relativistic and Quantum Physics
Noether Symmetries Quantum Physics Covariant Conservation Laws
2010/3/18
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...
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 ...
Matrix Product States: Symmetries and Two-Body Hamiltonians
Matrix Product States Symmetries Two-Body Hamiltonians
2010/4/13
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...
Approximate Generalized Conditional Symmetries
for Perturbed Evolution Equations
perturbed evolution equation approximate
generalized conditional symmetry approximate conditional invariant solution
2007/8/15
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...