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Showing 2006 · math-phShow all
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math-ph2006
Powers of large random unitary matrices and Toeplitz determinants
Maurice Duits, Kurt Johansson
We study the limiting behavior of $\Tr U^{k(n)}$, where is a random unitary matrix and is a natural number that may vary with in an arbitrary way. Our an…
math-ph2006★ 55 cited
Effective Dynamics for Boson Stars
Juerg Froehlich, B. Lars G. Jonsson, Enno Lenzmann
We study solutions close to solitary waves of the pseudo-relativistic Hartree equation describing boson stars under the influence of an external gravitational field. In particular,…
math-ph2006★ 99 cited
Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials
Rupert L. Frank, Ari Laptev, Elliott H. Lieb +1
Inequalities are derived for power sums of the real part and the modulus of the eigenvalues of a Schrödinger operator with a complex-valued potential.