In the past ten years, the ideas of supersymmetry have been profitably applied to many
nonrelativistic quantum mechanical problems. In particular, there is now a much deeper …

Transport phenomena in spatially periodic systems far from thermal equilibrium are
considered. The main emphasis is put on directed transport in so-called Brownian motors …

Heun's equation is a second-order differential equation which crops up in a variety of forms
in a wide range of problems in applied mathematics. These include integral equations of …

The general subject of colored noise driven dynamical flows is rooted in the study of the
motion of small particles suspended in a fluid and moving under the influence of random …

This book introduces the factorization method in quantum mechanics at an advanced level,
with the aim of putting mathematical and physical concepts and techniques like the …

Stochastic resonance is a cooperative effect of noise and periodic driving in bistable
systems. It can be used for the detection and amplification of weak signals embedded within …

The numerical prediction, theoretical analysis, and experimental verification of the
phenomenon of wave packet revivals in quantum systems has flourished over the last …

Given a spatially dependent mass distribution, we obtain potential functions for exactly
solvable nonrelativistic problems. The energy spectrum of the bound states and their wave …

The authors give explicit point canonical transformations which map twelve types of shape
invariant potentials (which are known to be exactly solvable) into two potential classes. The …

We consider the application of the supersymmetric quantum-mechanical formalism to the
Schrödinger equation describing a particle characterized by a position-dependent effective …