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(85)Rb Bose-Einstein condensate with tunable interaction: A quantum many body approach
(ELSEVIER SCIENCE BV, 2009)
We present a quantum many body approach with van der Waal type of interaction to achieve (85)Rb Bose-Einstein condensate with tunable interaction which has been produced by magnetic field induced Feshbach resonance in the ...
Obtenção dos Harmônicos Hiperesféricos em N Dimensões
(DFI - Departamento de Física – São Cristóvão - PresencialUniversidade Federal de Sergipe, 2020)
Sturmian bases for two-electron systems in hyperspherical coordinates
(IOP Publishing, 2016-11)
We give a detailed account of an ab initio spectral approach for the calculation of energy spectraof two active electron atoms in a system of hyperspherical coordinates. In this system ofcoordinates, the Hamiltonian has ...
Analysis of vibrational modes of the P4 molecule through hyperspherical variants of the local orthogonal coordinates: the limit of dissociation in dimers
(2011)
In this work, we discuss the representation in different orthogonal coordinates sets of highly symmetric P4 molecule whose equilibrium configuration is tetrahedral. For this purpose, the H (or diatom–diatom) and Wigner ...
Confining spheres within hyperspheres
(JOURNAL Physic. And: Mathematical. Theory. 46 (2013), 2013)
Use of correlated potential harmonic basis functions for the description of the (4)He trimer and small clusters
(AMER INST PHYSICS, 2011)
A correlated many-body basis function is used to describe the (4)He trimer and small helium clusters ((4)HeN) with N = 4-9. A realistic helium dimer potential is adopted. The ground state results of the (4)He dimer and ...
Gaussian extended cubature formulae for polyharmonic functions
(2001-04-01)
The purpose of this paper is to show certain links between univariate interpolation by algebraic polynomials and the representation of polyharmonic functions. This allows us to construct cubature formulae for multivariate ...
Algebraic construction of the basis for the irreducible representations of rotation groups and for the homogeneous Lorentz group
(1965-01-01)
The basic functions for a class of the irreducible representations of the rotation groups in n dimensions (Rn) are explicitly constructed by an algebraic method in which the basic functions are taken to be homogeneous ...
Gaussian extended cubature formulae for polyharmonic functions
(2001-04-01)
The purpose of this paper is to show certain links between univariate interpolation by algebraic polynomials and the representation of polyharmonic functions. This allows us to construct cubature formulae for multivariate ...
Solutions to Integro-differential Problems Arising on Pricing Options in a Lévy Market
(Springer, 2012-02)
We study an integro-differential parabolic problem arising in Financial Mathematics. Under suitable conditions, we prove the existence of solutions for a multi-asset case in a general domain using the method of upper ...