Results 231 to 240 of about 3,941 (265)

Canonical Realizations of Lie Symmetry Groups

Journal of Mathematical Physics, 1966
A general theory of the realizations of Lie groups by means of canonical transformations in classical mechanics is given. The problem is the analog to that of the characterization of the projective representations in quantum mechanics considered by Wigner, Bargmann, and others in the case of the Galilei and the Lorentz group. However, no application to
Pauri, M., Prosperi, G. M.
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Related Evolution Equations and Lie Symmetries

SIAM Journal on Mathematical Analysis, 1985
The problem of classification of evolution equations \[ (1)\quad v_ t=K(y^ 1,...,y^ n,v,\partial^{i_ 1+...+i_ n}v/\partial y^{i_ 1}...\partial y_ n^{i_ n}), \] where \(y_ 1,...,y_ n\) are space coordinates, with respect to transformations (2) \(t=t(s,x)\), \(y^ j=y^ j(s,x)\), \(v=v(s,x,u)\) is discussed. In general, the right- hand side of the equation
Kalnins, E. G., Miller, Willard jun.
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Symmetries of Hamiltonian Systems on Lie Algebroids

Journal of Mathematical Sciences, 2023
Lie algebroids are a generalization of tangent bundles and Lie algebras. Hamiltonian systems are introduced on Lie algebroids, and Jacobi endomorphisms and dynamical covariant derivatives allow to define infinitesimal symmetries and Noether theory on Lie algebroids.
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Lie–Bäcklund and Noether Symmetries with Applications

Nonlinear Dynamics, 1998
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Ibragimov, N. H., Kara, A. H., Mahomed, F. M.   +2 more
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Solitons in Plasmas: A Lie Symmetry Approach

International Journal of Theoretical Physics, 2009
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Khalique, Chaudry Masood, Biswas, Anjan
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Lie symmetries and reductions

2009
Abstract Phrases like ‘the unifying role of symmetry in . . . ‘ feature prominently in the popular science literature. Depending on the subject, the symmetry may be ‘cosmic’, ‘Platonic’, ‘perfect’, ‘broken’, or even ‘super’.
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Lie symmetries of Hirota’s bilinear equations

Journal of Mathematical Physics, 1991
The existence of Lie-point symmetries for a family of partial differential equations (PDEs) written in Hirota’s bilinear formalism is investigated. These equations have been studied in previous publications from the point of view of the existence of multisoliton solutions and also of the Painlevé property and are either known as integrable or good ...
Tamizhmani, K. M., Ramani, A., Grammaticos, B.   +2 more
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On the Lie Symmetry Groups for Classical Fields

Canadian Journal of Physics, 1974
The symmetry Lie groups associated with isolated fields are derived from an analogy with the corresponding problem for particle dynamics. These symmetry groups may contain point to point transformations which depend on the values assumed by the field function at the point which is being transformed.
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Lie symmetries of Schrödinger equation on a sphere

2023
Summary: We are going to discuss an object with a mass attached to a spring and vibrating on the surface of a sphere (see Figure 1). To do this, we first reconstruct the Schrodinger equation on a sphere. In fact, the paper considers the question of a quantum system obeying the Schrodinger equation on a sphere.
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On the root symmetry of higher Lie characters

Archiv der Mathematik, 2003
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