15 research outputs found
Infrared behavior of interacting bosons at zero temperature
Get PDFWe review the infrared behavior of interacting bosons at zero temperature.
After a brief discussion of the Bogoliubov approximation and the breakdown of
perturbation theory due to infrared divergences, we present two approaches that
are free of infrared divergences -- Popov's hydrodynamic theory and the
non-perturbative renormalization group -- and allow us to obtain the exact
infrared behavior of the correlation functions. We also point out the
connection between the infrared behavior in the superfluid phase and the
critical behavior at the superfluid--Mott-insulator transition in the
Bose-Hubbard model.Comment: 8 pages, 4 figures. Proceedings of the 19th International Laser
Physics Workshop, LPHYS'10 (Foz do Iguacu, Brazil, July 5-9, 2010
Approximate solution of linear and nonlinear fractional differential equations under m-point local and nonlocal boundary conditions
Get PDFOn the Numerical Solution of Singular Lane–Emden Type Equations Using Cubic B-spline Approximation
No full textShifted Lagrangian Jacobi collocation scheme for numerical solution of a model of HIV infection
No full textOn nonlocal three-point boundary value problems of Duffing equation with mixed nonlinear forcing terms
No full textComputational intelligence approach using Levenberg–Marquardt backpropagation neural networks to solve the fourth-order nonlinear system of Emden–Fowler model
No full textSolving the Boundary Layer Flow of Eyring–Powell Fluid Problem via Quasilinearization–Collocation Method Based on Hermite Functions
No full textGeneralization of Gegenbauer Wavelet Collocation Method to the Generalized Kuramoto–Sivashinsky Equation
No full textHomotopy perturbation method with Laplace Transform (LT-HPM) for solving Lane–Emden type differential equations (LETDEs)
No full textA numerical method based on rational Gegenbauer functions for solving boundary layer flow of a Powell–Eyring non-Newtonian fluid
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