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6 papers · 1 filter
Noncommutative Riemann Surfaces
Joakim Arnlind, Martin Bordemann, Laurent Hofer +2
We introduce C-Algebras of compact Riemann surfaces as non-commutative analogues of the Poisson algebra of smooth functions on . Representations of these algebras give rise…
Eigenvalue estimates for the Aharonov-Bohm operator in a domain
Rupert L. Frank, Anders Hansson
We prove semi-classical estimates on moments of eigenvalues of the Aharonov-Bohm operator in bounded two-dimensional domains. Moreover, we present a counterexample to the generaliz…
An Explicit Formula for Symmetric Polynomials Related to the Eigenfunctions of Calogero-Sutherland Models
Martin Hallnäs
We review a recent construction of an explicit analytic series representation for symmetric polynomials which up to a groundstate factor are eigenfunctions of Calogero-Sutherland t…
The Ground State Energy of Heavy Atoms: Relativistic Lowering of the Leading Energy Correction
Rupert L. Frank, Heinz Siedentop, Simone Warzel
We describe atoms by a pseudo-relativistic model that has its origin in the work of Chandrasekhar. We prove that the leading energy correction for heavy atoms, the Scott correction…
Bosons and fermions in external fields
Edwin Langmann
Contribution to the Encyclopedia of Mathematical Physics (Elsevier, 2006): a brief and (hopefully) pedagogical introduction to quantum field theory models describing particles in e…
Solitary Wave Dynamics in an External Potential
J. Frohlich, S. Gustafson, B. L. G. Jonsson +1
We study the behavior of solitary-wave solutions of some generalized nonlinear Schrödinger equations with an external potential. The equations have the feature that in the absence…