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5 results for "bose-einstein"
Azimuthal Modulational Instability of Vortex Solutions to the Two Dimensional Nonlinear Schrödinger Equation By Ronald Meyer Caplan
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We study the azimuthal modulational instability (MI) of vortices with different topological charges, in the focusing two-dimensional nonlinear Schrödinger (NLS) equation. The method of studying... More > the stability relies on freezing the radial direction in the Lagrangian functional of the NLS in order to form a quasi-one-dimensional azimuthal equation of motion, and then applying a stability analysis in Fourier space of the azimuthal modes. We formulate predictions of growth rates of individual modes and find that vortices are unstable below a critical azimuthal wave number. Steady state vortex solutions are found by first using a variational approach to obtain an asymptotic analytical ansatz, and then using it as an initial condition to a nonlinear equation numerical optimization routine. The stability analysis predictions are corroborated by direct numerical simulations of the NLS performed on a polar coordinate finite-difference scheme.< Less
Azimuthal Modulational Instability of Vortex Solutions to the Two Dimensional Nonlinear Schrödinger Equation By Ronald Meyer Caplan
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We study the azimuthal modulational instability (MI) of vortices with different topological charges, in the focusing two-dimensional nonlinear Schrödinger (NLS) equation. The method of studying... More > the stability relies on freezing the radial direction in the Lagrangian functional of the NLS in order to form a quasi-one-dimensional azimuthal equation of motion, and then applying a stability analysis in Fourier space of the azimuthal modes. We formulate predictions of growth rates of individual modes and find that vortices are unstable below a critical azimuthal wave number. Steady state vortex solutions are found by first using a variational approach to obtain an asymptotic analytical ansatz, and then using it as an initial condition to a nonlinear equation numerical optimization routine. The stability analysis predictions are corroborated by direct numerical simulations of the NLS performed on a polar coordinate finite-difference scheme.< Less
l'Univers miroir, né du rien préquantique By Dominique Mareau
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Ce livre comporte une première partie rédigée en mode littéral pour être accessible à tous. Un lexique complet aide également à assimiler le... More > propos. Ce nouveau modèle d'univers est créé à partir d'un pré-univers dans lequel le "rien" est forcément représenté par des oscillateurs aléatoires et élémentaires (bosons oscillateurs stochastiques préquantiques). La probabilité autorise une synchronisation aléatoire qui forme un condensat de Bose Einstein instable. Les constantes sont issues de la valeur moyenne (aléatoire) avant synchronisation. Le condensat se divise en condensats-fils qui structurent l'univers tel qu'on peut le voir.< Less
Weird Scientists – the Creators of Quantum Physics By Jeffrey Strickland
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Weird Scientists is a sequel to Men of Manhattan. As I wrote the latter about the nuclear physicists who brought in the era of nuclear power, quantum mechanics (or quantum physics) was unavoidable. ... More > Many of the contributors to the science of splitting the atom were also contributors to quantum mechanics. Atomic physics, particle physics, quantum physics, and even relativity are all interrelated. This book is about the men and women who established the science that shook the foundations of classical physics, removed determinism from measurement, and created alternative worlds of reality. The book introduces fundamental concepts of quantum mechanics, roughly in the order they were discovered, as a launching point for describing the scientist and the work that brought forth the concepts.< Less
Weird Scientists – the Creators of Quantum Physics By Jeffrey Strickland
eBook (PDF): $20.00
Download immediately.
Weird Scientists is a sequel to Men of Manhattan. As I wrote the latter about the nuclear physicists who brought in the era of nuclear power, quantum mechanics (or quantum physics) was unavoidable. ... More > Many of the contributors to the science of splitting the atom were also contributors to quantum mechanics. Atomic physics, particle physics, quantum physics, and even relativity are all interrelated. This book is about the men and women who established the science that shook the foundations of classical physics, removed determinism from measurement, and created alternative worlds of reality. The book introduces fundamental concepts of quantum mechanics, roughly in the order they were discovered, as a launching point for describing the scientist and the work that brought forth the concepts.< Less