The theme of this monograph is the nonlinear Schrödinger equation. This equation models slowly varying wave envelopes in dispersive media and arises in various physical systems such as water waves, plasma physics, solid state physics and nonlinear optics. More specifically, this…
Une théorie globale de la relativité d'échelle est proposée par le biais de 3 thèmes (la théorie de la relativité d'échelle et ses applications en sciences physiques, la relativité d'échelle et le vivant, relativité d'échelle et sociétés humaines) ainsi que des applications réal…
"This book is an interdisciplinary introduction to optical collapse of laser beams, which is modelled by singular (blow-up) solutions of the nonlinear Schrödinger equation. With great care and detail, it develops the subject including the mathematical and physical background and…
"A topical and timely useful textbook dealing with the practical aspects of quantum mechanics, including discussions on a broad range of topics including recent technological developments in superconducting Josephson junctions, atomic cavities, lasers, gated quantum dots, optica…
A topical and timely useful textbook dealing with the practical aspects of quantum mechanics, including discussions on a broad range of topics including recent technological developments in superconducting Josephson junctions, atomic cavities, lasers, gated quantum dots, optical…
"A topical and timely useful textbook dealing with the practical aspects of quantum mechanics, including discussions on a broad range of topics including recent technological developments in superconducting Josephson junctions, atomic cavities, lasers, gated quantum dots, optica…
"A topical and timely useful textbook dealing with the practical aspects of quantum mechanics, including discussions on a broad range of topics including recent technological developments in superconducting Josephson junctions, atomic cavities, lasers, gated quantum dots, optica…
"A topical and timely useful textbook dealing with the practical aspects of quantum mechanics, including discussions on a broad range of topics including recent technological developments in superconducting Josephson junctions, atomic cavities, lasers, gated quantum dots, optica…
"A topical and timely useful textbook dealing with the practical aspects of quantum mechanics, including discussions on a broad range of topics including recent technological developments in superconducting Josephson junctions, atomic cavities, lasers, gated quantum dots, optica…
In this paper, we prove the existence of shape resonances in the semi-classical approximation for Hamiltonians of the form [italic]H([lowercase Greek]Lambda) [triple bar symbol] −([capital Greek]Delta + ([lowercase Greek]Lambda²[italic]V + [italic]U on [italic]L²([bold]R[supersc…