Non-relativistic conformal symmetries in fluid mechanics
نویسندگان
چکیده
منابع مشابه
Non-relativistic conformal symmetries and Newton-Cartan structures
This article provides us with a unifying classification of the conformal infinitesimal symmetries of non-relativistic Newton-Cartan spacetime. The Lie algebras of non-relativistic conformal transformations are introduced via the Galilei structure. They form a family of infinite-dimensional Lie algebras labeled by a rational “dynamical exponent”, z. The Schrödinger-Virasoro algebra of Henkel et ...
متن کاملRelativistic non-Hamiltonian mechanics
Relativistic particle subjected to a general four-force is considered as a nonholonomic system. The nonholonomic constraint in fourdimensional space–time represents the relativistic invariance by the equation for four-velocity ulu + c = 0, where c is the speed of light in vacuum. In the general case, four-forces are non-potential, and the relativistic particle is a non-Hamiltonian system in fou...
متن کاملA Realization of the infinite-dimensional Symmetries of Conformal Mechanics
We discuss the possibility of realizing the infinite dimensional symmetries of conformal mechanics as time reparametrizations, generalizing the realization of the SL(2,R) symmetry of the de Alfaro, Fubini, Furlan model in terms of quasi–primary fields. We find that this is possible using an appropriate generalization of the transformation law for the quasi–primary fields. Typeset using REVTEX E...
متن کاملRelativistic Non-Hermitian Quantum Mechanics
We develop relativistic wave equations in the framework of the new non-hermitian PT quantum mechanics. The familiar Hermitian Dirac equation emerges as an exact result of imposing the Dirac algebra, the criteria of PT -symmetric quantum mechanics, and relativistic invariance. However, relaxing the constraint that in particular the mass matrix be Hermitian also allows for models that have no cou...
متن کاملRelativistic fluid mechanics , Kähler manifolds and supersymmetry
We propose an alternative for the Clebsch decomposition of currents in fluid mechanics, in terms of complex potentials taking values in a Kähler manifold. We reformulate classical relativistic fluid mechanics in terms of these complex potentials and rederive the existence of an infinite set of conserved currents. We perform a canonical analysis to find the explicit form of the algebra of conser...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The European Physical Journal C
سال: 2009
ISSN: 1434-6044,1434-6052
DOI: 10.1140/epjc/s10052-009-1221-x