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10 papers · 1 filter
Complete lifts of harmonic maps and morphisms between Euclidean spaces
Ye-lin Ou
We introduce the complete lifts of maps between (real and complex) Euclidean spaces and study their properties concerning holomorphicity, harmonicity and horizontal weakly conforma…
On the classification of quadratic harmonic morphisms between Euclidean spaces
Ye-lin Ou, J. C. Wood
We give a classification of quadratic harmonic morphisms between Euclidean spaces (Theorem 2.4) after proving a Rank Lemma. We also find a correspondence between umbilical (Definit…
Quadratic harmonic morphisms and O-systems
Ye-lin Ou
We introduce O-systems (Definition \ref{DO}) of orthogonal transformations of , and establish correspondences both between equivalence classes of Clifford syste…
On the space of harmonic -spheres in
L. Lemaire, J. C. Wood
Carrying further work of T.A. Crawford, we show that each component of the space of harmonic maps from the -sphere to complex projective -space of degree and energy $4 πE…
On the interpretation of time-reparametrization-invariant quantum mechanics
Ian D. Lawrie, Richard J. Epp
The classical and quantum dynamics of simple time-reparametrization- invariant models containing two degrees of freedom are studied in detail. Elimination of one ``clock'' variable…
Hidden symmetry of the quantum Calogero-Moser system
Vadim B. Kuznetsov
Hidden symmetry of the quantum Calogero-Moser system with the inverse-square potential is explicitly demonstrated in algebraic sense. We find the underlying algebra explaining the…