Results 11 to 20 of about 108,033 (290)
Discrete symmetries and nonlocal reductions [PDF]
Physics Letters A, 2020 12 ...
Metin Gürses +2 more
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Symmetry Reduction of States I
Journal of Noncommutative Geometry, 2023 We develop a general theory of symmetry reduction of states on (possibly non-commutative) *-algebras that are equipped with a Poisson bracket and a Hamiltonian action of a commutative Lie algebra g .
Philipp Schmitt, Matthias Schötz
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Symmetry Reduction of Fourier Kernels [PDF]
Journal of Computational Physics, 1998 The authors examine Fourier transforms of functions of several variables invariant under the group \(G= \text{SO}(d)\) of proper rigid rotations of the frame of \(N\) vectors \(\{x_i\}^N_{i= 1}\) in \(\mathbb{R}^d\). The Fourier transforms of these functions can be written as \[ F(k;t)= \int_{\mathbb{R}^{Nd}/G} K(k,x;t) f(x) d\mu(x), \] where \[ K(k,x ...
Samson, J. H., Evans, G. A.
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REDUCTION OF PRESYMPLECTIC MANIFOLDS WITH SYMMETRY [PDF]
Reviews in Mathematical Physics, 1999 Actions of Lie groups on presymplectic manifolds are analyzed, introducing the suitable comomentum and momentum maps. The subsequent theory of reduction of presymplectic dynamical systems with symmetry is studied. In this way, we give a method of reduction which enables us to remove gauge symmetries as well as non-gauge "rigid" symmetries at once ...
Echeverría-Enríquez, A. +2 more
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Lie Symmetry Analysis of C1m,a,b Partial Differential Equations
Advances in Mathematical Physics, 2021 In this article, we discussed the Lie symmetry analysis of C1m,a,b fractional and integer order differential equations. The symmetry algebra of both differential equations is obtained and utilized to find the similarity reductions, invariant solutions ...
Hengtai Wang +2 more
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Bianchi permutability for the anti-self-dual Yang-Mills equations [PDF]
, 2016 The anti-self-dual Yang-Mills equations are known to have reductions to many integrable differential equations. A general B\"acklund transformation (BT) for the ASDYM equations generated by a Darboux matrix with an affine dependence on the spectral ...
Benincasa, Gregorio, Halburd, Rod
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Symmetries of a class of nonlinear fourth order partial differential equations [PDF]
, 1998 In this paper we study symmetry reductions of a class of nonlinear fourth order partial differential equations \be u_{tt} = \left(\kappa u + \gamma u^2\right)_{xx} + u u_{xxxx} +\mu u_{xxtt}+\alpha u_x u_{xxx} + \beta u_{xx}^2, \ee where $\alpha$, $\beta$
Ablowitz M.J. +63 more
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Recursions of Symmetry Orbits and Reduction without Reduction [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We consider a four-dimensional PDE possessing partner symmetries mainly on the example of complex Monge-Amp re equation (CMA). We use simultaneously two pairs of symmetries related by a recursion relation, which are mutually complex conjugate for CMA.
Malykh, A.A., Sheftel, M.B.
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Exactly solvable `discrete' quantum mechanics; shape invariance, Heisenberg solutions, annihilation-creation operators and coherent states [PDF]
, 2008 Various examples of exactly solvable `discrete' quantum mechanics are explored explicitly with emphasis on shape invariance, Heisenberg operator solutions, annihilation-creation operators, the dynamical symmetry algebras and coherent states.
Odake, Satoru, Sasaki, Ryu
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U(1) invariant Membranes and Singularities [PDF]
, 2008 A formulation of U(1) - symmetric classical membrane motions (preserving one rotational symmetry) is given, and reductions to systems of ODE's, as well as some ideas concerning singularities and integrability.Comment: 6 ...
Hoppe, Jens
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