Topic
Canonical transformation
About: Canonical transformation is a research topic. Over the lifetime, 1854 publications have been published within this topic receiving 38019 citations.
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TL;DR: In this paper, the zonal Earth satellite theory is studied in the polar nodal canonical set of variables (τ, ϑ, υ,R, i,N) taking advantage of the radial intermediaries and the regularization and linearization methods.
Abstract: Taking advantage of the radial intermediaries and the regularization and linearization methods, the zonal Earth satellite theory is studied in the polar nodal canonical set of variables (τ, ϑ, υ,R, i,N).
19 citations
TL;DR: In this article, an algorithm for normalizing conservative linear Hamiltonian systems is given for the restricted three body problem in the vicinity of the triangular points for Routh's critical mass ratio.
Abstract: An algorithm is given for normalizing conservative linear Hamiltonian systems. This one generalizes Siegel's method to the cases where the eigenvalues are multiple. We obtain by a canonical transformation a normal form of two blocks, one of which is the upper Jordan form, and the other, the lower Jordan form. We select real solutions from the solutions of these equations, and we apply the result to the restricted three body problem in the vicinity of the triangular points for Routh's critical mass ratio.
19 citations
19 citations
TL;DR: In this article, the correspondence identities for the Rutherford scattering problem were derived in preparation for the derivation of correspondence identities in classical theory, and convenient conventions for classical canonical transformations were introduced.
Abstract: In preparation for the derivation of correspondence identities for the Rutherford scattering problem, the relevant classical theory is developed. Convenient conventions for classical canonical transformations are introduced. Classical O(1, 3) symmetry properties are discussed. Classically accessible and inaccessible regions of momentum space are defined, and, for the latter, generalized classical paths and the corresponding action functions are obtained by analytic continuation.
19 citations
TL;DR: In this paper, the BRST operator for the nonlinear $WB_2$ and $W_4$ algebras was constructed for the canonical transformation of the ghost antighost fields.
Abstract: We construct the BRST operator for the nonlinear $WB_2$ and $W_4$ algebras. Contrary to the general belief, the nilpotent condition of the BRST operator doesn't determine all the coefficients. We find a three and seven parameter family of nilpotent BRST operator for $WB_2$ and $W_4$ respectively. These free parameters are related to the canonical transformation of the ghost antighost fields.
19 citations