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An averaging problem with Markov fast motion is considered. The di usive limit is obtained for the evolution of adabatic invariants under the assumption that the averaged motion is ergodic on almost...
We investigate the design of taper structures for coupling to slow-light modes of various photonic-crystal waveguides while taking into account parameter uncertainties inherent in practical fabricatio...
We establish existence of travelling fronts in thermo-diffusive systems of the KPP type in a shear flow with an arbitrary Lewis number and a positive heat-loss at the boundary. We then prove that the ...
We have experimentally and theoretically investigated the mixed-field orientation of rotational-state-selected OCS molecules and we achieve strong degrees of alignment and orientation. The applied mod...
The plasma analog of an adiabatic lapse rate (or temperature variation with height) in atmospheric physics is obtained. A new source of plasma temperature gradient in a binary ion species mixture is f...
We consider the dynamics of a massless scalar field with time-dependent sources in the adiabatic limit. This is an example of an adiabatic problem without spectral gap. The main goal of our paper is t...
Abstract: We present an analysis of the adiabatic approximation to understand when it applies, in view of the recent criticisms and studies for the validity of the adiabatic theorem. We point out that...
A new approach called the Schr\"odinger Collective Intrinsic Model (SCIM) has been developed to achieve a microscopic description of the coupling between collective and intrinsic excitations.
Abstract: A general nonlinear dispersion relation is derived in a nondifferential form for a quasistationary sinusoidal Langmuir wave in collisionless plasma, allowing for an arbitrary distribution of...
Abstract: A Lagrangian formalism is developed for a general nondissipative quasiperiodic nonlinear wave with trapped particles in collisionless plasma. The adiabatic time-averaged Lagrangian density L...
Abstract: A proof of the adiabatic theorem for quantum systems whose time evolution proceeds along discrete time, e.g., quantum maps and quantum circuits, is shown.
Abstract: A Lagrangian formalism is developed for a general nondissipative quasiperiodic nonlinear wave with trapped particles in collisionless plasma. The adiabatic time-averaged Lagrangian density L...
Abstract: A general nonlinear dispersion relation is derived in a nondifferential form for a quasistationary sinusoidal Langmuir wave in collisionless plasma, allowing for an arbitrary distribution of...
Abstract: The evolution of waves with trapped particles is described within the Lagrangian model developed in Paper I. One-dimensional nonlinear Langmuir waves with deeply trapped electrons are addres...
Abstract: We demonstrate loading, trapping and adiabatic cooling of polar molecules in a new type of electric trap. The trap consists of two microstructured capacitor plates with an additional perimet...

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