822 research outputs found
Solution of the dispersionless Hirota equations
The dispersionless differential Fay identity is shown to be equivalent to a
kernel expansion providing a universal algebraic characterization and solution
of the dispersionless Hirota equations. Some calculations based on D-bar data
of the action are also indicated.Comment: Late
Bloch Theory and Quantization of Magnetic Systems
Quantizing the motion of particles on a Riemannian manifold in the presence
of a magnetic field poses the problems of existence and uniqueness of
quantizations. Both of them are settled since the early days of geometric
quantization but there is still some structural insight to gain from spectral
theory. Following the work of Asch, Over & Seiler (1994) for the 2-torus we
describe the relation between quantization on the manifold and Bloch theory on
its covering space for more general compact manifolds.Comment: 20 page
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