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The Gross–Pitaevskii equation (GPE, named after Eugene P. Gross [1] and Lev Petrovich Pitaevskii [2]) describes the ground state of a quantum system of identical bosons using the Hartree–Fock approximation and the pseudopotential interaction model. A Bose–Einstein condensate (BEC) is a gas of bosons that are in the same quantum state, and ...
Pseudo-spectral method. Pseudo-spectral methods, [1] also known as discrete variable representation (DVR) methods, are a class of numerical methods used in applied mathematics and scientific computing for the solution of partial differential equations. They are closely related to spectral methods, but complement the basis by an additional ...
It is also referred to as the mode matching technique [1] or the bidirectional eigenmode propagation method (BEP method). [2] Eigenmode expansion is a linear frequency-domain method. It offers very strong benefits compared with FDTD , FEM and the beam propagation method for the modelling of optical waveguides , [ 3 ] and it is a popular tool ...
Exciton-polariton. In physics, the exciton–polariton is a type of polariton; a hybrid light and matter quasiparticle arising from the strong coupling of the electromagnetic dipolar oscillations of excitons (either in bulk or quantum wells) and photons. [1] Because light excitations are observed classically as photons, which are massless ...
This (i.e. for the 4 time of arrival/range measurement residual equations) computation is in accordance with [6] where the weighting matrix, = happens to simplify down to the identity matrix. Note that P only simplifies down to the identity matrix because all the sensor measurement residual equations are time of arrival (pseudo range) equations.
The black lines are integral curves. Graph of v with parameters I=0.5, a=0.7, b=0.8, and τ=12.5. The FitzHugh–Nagumo model (FHN) describes a prototype of an excitable system (e.g., a neuron). It is an example of a relaxation oscillator because, if the external stimulus exceeds a certain threshold value, the system will exhibit a ...
Headquarters. Washington, D.C. Key people. Julia Gillard, Alice Albright, Laura Frigenti. Website. www.globalpartnership.org. The Global Partnership for Education (GPE) is a multi-stakeholder partnership that aims to strengthen global education. [1] Hosted by the World Bank, [2] GPE is the world's only partnership dedicated solely to funding ...
The following is an example of an image sequence zooming to a selected c value. The magnification of the last image relative to the first one is about 10 10 to 1. Relating to an ordinary computer monitor, it represents a section of a Mandelbrot set with a diameter of 4 million kilometers.