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1. Diffusive Propagation of Wave Packets in a Fluctuating Periodic Potential

   We consider the evolution of a tight binding wave packet propagating in a fluctuating periodic potential. If the fluctuations stem from a stationary...

   Eman Hamza, Yang Kang, Jeffrey Schenker in Letters in Mathematical Physics

   Article 22 October 2010

2. A Remark on the Estimate of a Determinant by Minami

   In the context of the Anderson model, Minami proved a Wegner type bound on the expectation of 2 ×  2 determinant of Green’s functions. We generalize...

   Gian Michele Graf, Alessio Vaghi in Letters in Mathematical Physics

   Article 08 December 2006

3. Quantum Transport and Boltzmann Operators

   In this paper the transport of quantum particles in time-dependent random media is studied. In the white noise limit, a quantum model for collisions...

   Philippe Bechouche, Frédéric Poupaud, Juan Soler in Journal of Statistical Physics

   Article 20 January 2006

4. Eigenvalue Asymptotics for the Schrödinger Operator with a δ-Interaction on a Punctured Surface

   P. Exner, K. Yoshitomi in Letters in Mathematical Physics

   Article 01 July 2003

5. Absolute Continuity in Periodic Thin Tubes and Strongly Coupled Leaky Wires

   Using a perturbative argument, we show that in any finite region containing the lowest transverse eigenmode, the spectrum of a periodically curved...

   Francois Bentosela, Pierre Duclos, Pavel Exner in Letters in Mathematical Physics

   Article 01 July 2003

6. Geometric Phase Related to Point-Interaction Transport on a Magnetic Lobachevsky Plane

   We consider a charged quantum particle living in the Lobachevsky plane and interacting with a homogeneous magnetic field perpendicular to the plane...

   S. A. Albeverio, P. Exner, V. A. Geyler in Letters in Mathematical Physics

   Article 01 January 2001

7. Bound States in a Locally Deformed Waveguide: The Critical Case

   P. Exner, S.A. Vugalter in Letters in Mathematical Physics

   Article 01 January 1997

8. Weakly coupled states on branching graphs

   We consider a Schrödinger particle on a graph consisting of N links joined at a single point. Each link supports a real locally integrable potential V ...

   Pavel Exner in Letters in Mathematical Physics

   Article 01 November 1996

9. Generalized Abelian Deformations: Application to Nambu Mechanics

   We study Abelian generalized deformations of the usual product of polynomials introduced in an earlier work. We construct an explicit example for the...

   Giuseppe Dito, Moshé Flato in Letters in Mathematical Physics

   Article 01 January 1997