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math-ph2003★ 22 cited
A Random Necklace Model
Vadim Kostrykin, Robert Schrader
We consider a Laplace operator on a random graph consisting of infinitely many loops joined symmetrically by intervals of unit length. The arc lengths of the loops are considered t…
math-ph2002
Perturbation Theory for the Quantum Time-Evolution in Rotating Potentials
Volker Enss, Vadim Kostrykin, Robert Schrader
The quantum mechanical time-evolution is studied for a particle under the influence of an explicitly time-dependent rotating potential. We discuss the existence of the propagator a…