Topic
Canonical transformation
About: Canonical transformation is a research topic. Over the lifetime, 1854 publications have been published within this topic receiving 38019 citations.
Papers published on a yearly basis
Papers
More filters
••
TL;DR: In this article, self-duality of super D3-brane theory was established as an exact symmetry of the action both in the Lagrangian and Hamiltonian formalisms.
14 citations
••
TL;DR: In this paper, a time-dependent perturbation theory is presented for iteratively constructing invariants for a Hamiltonian consisting of a time independent zeroth-order term plus a time dependent perturbations.
14 citations
••
TL;DR: In this article, it was shown that if oqi and oqi are appropriately regarded as q-numbcrs, the variation principle yields the consistent equation of q. It was indicated in I that the Euler-Lagrange equation should be modified and that the ordinary variational method was not valid.
Abstract: gean L = iiJ.igii(fi- v(q) was investigated*) where gii= gii is a function of qli = lr-vn). It was shown that in the quantum mechanics, the correct Hamiltonian should be**) H = t {pi, qi} - L-Z (q) with Z expressed in terms of gii and its derivative, and this H satisfied the canonical equation of motion. The equation of motion for qi, however, could not be derived from the ordinary variation principle due to the fact that oqi was a q-number. The proposed formalism was examined for some examples (the free Lagrangean for the polar coordinate system, etc.). If there exists the canonical transformation from qi to Oa (a= lr-vn) for which the Lagrangean has standard form L = !Qa 2 - V(O), the consistent equation of motion is derived from the equation for Qa. It was indicated in I that the Euler-Lagrange equation should be modified and that the ordinary variational method was not valid. In this paper, it is, however, proved that if oqi and oqi are appropriately regarded as q-numbcrs, the variation principle yields the consistent equation of
14 citations
••
TL;DR: In this article, the existence of a canonical transformation that diagonalizes Hermitian quadratic boson operators is discussed and an algorithm is sketched for the diagonalization of such operators.
Abstract: The diagonalization of Hermitian quadratic boson operators is studied in the equation of motion approach. The existence of a canonical transformation that diagonalizes such operators is discussed and an algorithm is sketched.
14 citations
••
TL;DR: Canonical formalism, including Hamilton's equations, transformation theory and Poisson brackets for classical field theory with higher time and/or spatial derivatives, is established in this article, including transformation theory.
Abstract: Canonical formalism, including Hamilton's equations, transformation theory and Poisson brackets for classical field theory with higher time and/or spatial derivatives, is established.
14 citations