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19922026
most citedNonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities

2.5k citations

Showing 1996 · hep-thShow all

9 papers · 2 filters

hep-th1996★ 7 cited

A class of nonlinear wave equations containing the continuous Toda case

E. Alfinito, M. S. Causo, G. Profilo +1

We consider a nonlinear field equation which can be derived from a binomial lattice as a continuous limit. This equation, containing a perturbative friction-like term and a free pa…

hep-th1996★ 38 cited

Octonionic Dirac Equation

Stefano De Leo, Khaled Abdel-Khalek

In order to obtain a consistent formulation of octonionic quantum mechanics (OQM), we introduce left-right barred operators. Such operators enable us to find the translation rules…

hep-th1996★ 37 cited

Octonionic Quantum Mechanics and Complex Geometry

Stefano De Leo, Khaled Abdel-Khalek

The use of complex geometry allows us to obtain a consistent formulation of octonionic quantum mechanics (OQM). In our octonionic formulation we solve the hermiticity problem and d…

hep-th1996★ 21 cited

Octonionic Representations of GL(8,R) and GL(4,C)

Stefano De Leo, Khaled Abdel-Khalek

Octonionic algebra being nonassociative is difficult to manipulate. We introduce left-right octonionic barred operators which enable us to reproduce the associative GL(8,R) group.…

hep-th1996★ 4 cited

Half-whole Dimensions in Quaternionic Quantum Mechanics

Stefano De Leo

We introduce {\em half-whole} dimensions for quaternionic matrices and propose a quaternionic version of the Frobenius-Schur theorem which allows us to obtain the proper quaternion…

hep-th1996★ 14 cited

Odd Dimensional Translation between Complex and Quaternionic Mechanics

Stefano De Leo, Pietro Rotelli

We complete the rules of translation between standard complex quantum mechanics (CQM) and quaternionic quantum mechanics (QQM) with a complex geometry. In particular we describe ho…

hep-th1996★ 25 cited

Quaternionic Electroweak Theory

Stefano De Leo, Pietro Rotelli

We explicitly develop a quaternionic version of the electroweak theory, based on the local gauge group . The need of a complex projection for our Lagra…

hep-th1996★ 5 cited

The symmetry structure of the heavenly equation

E. Alfinito, G. Soliani, L. Solombrino

We show that excitations of physical interest of the heavenly equation are generated by symmetry operators which yields two reduced equations with different characteristics. One eq…

hep-th1996★ 5 cited

Chern-Simons Field Theory and Completely Integrable Systems

L. Martina, O. K. Pashaev, G. Soliani

We show that the classical non-abelian pure Chern-Simons action is related in a natural way to completely integrable systems of the Davey-Stewartson hyerarchy, via reductions of th…