Abstract
The results of a recent reformulation of the theory of arbitrary order differential equations in terms of non-Hermitian operators is used to show that the invariant binorm is associated to a generalized Courant-Snyder invariant. Furthermore, the existence of higher order invariants associated to the Casimir operators of the group is indicated, utilized to treat higher order equations. The intrinsic super symmetric nature of the theory developed is also discussed. Finally, the relevance of the proposed mathematical technique to the design of fibre optics transport systems is showed.
Citation Formats
Dattoli, G, Mari, C, Torre, A, Loreto, V, and Richetta, M.
Biunitary transformation and ordinary differential equations (part 2).
Italy: N. p.,
1991.
Web.
Dattoli, G, Mari, C, Torre, A, Loreto, V, & Richetta, M.
Biunitary transformation and ordinary differential equations (part 2).
Italy.
Dattoli, G, Mari, C, Torre, A, Loreto, V, and Richetta, M.
1991.
"Biunitary transformation and ordinary differential equations (part 2)."
Italy.
@misc{etde_10139532,
title = {Biunitary transformation and ordinary differential equations (part 2)}
author = {Dattoli, G, Mari, C, Torre, A, Loreto, V, and Richetta, M}
abstractNote = {The results of a recent reformulation of the theory of arbitrary order differential equations in terms of non-Hermitian operators is used to show that the invariant binorm is associated to a generalized Courant-Snyder invariant. Furthermore, the existence of higher order invariants associated to the Casimir operators of the group is indicated, utilized to treat higher order equations. The intrinsic super symmetric nature of the theory developed is also discussed. Finally, the relevance of the proposed mathematical technique to the design of fibre optics transport systems is showed.}
place = {Italy}
year = {1991}
month = {Mar}
}
title = {Biunitary transformation and ordinary differential equations (part 2)}
author = {Dattoli, G, Mari, C, Torre, A, Loreto, V, and Richetta, M}
abstractNote = {The results of a recent reformulation of the theory of arbitrary order differential equations in terms of non-Hermitian operators is used to show that the invariant binorm is associated to a generalized Courant-Snyder invariant. Furthermore, the existence of higher order invariants associated to the Casimir operators of the group is indicated, utilized to treat higher order equations. The intrinsic super symmetric nature of the theory developed is also discussed. Finally, the relevance of the proposed mathematical technique to the design of fibre optics transport systems is showed.}
place = {Italy}
year = {1991}
month = {Mar}
}