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Solution of the Schrodinger equation containing a Perey-Buck nonlocality
Solution of the Schrodinger equation Perey-Buck nonlocality Computational Physics
2012/4/19
The solution of a radial Schr\"odinger equation for {\psi}(r) containing a nonlocal potential of the form \int{K(r,r') {\psi}(r') dr'} is obtained to high accuracy by means of two methods. An applicat...
Numerical Solution of the Time-Dependent Dirac Equation in Coordinate Space without Fermion-Doubling
Dirac equation Numerical method Fermion doubling problem Klein paradox Relativistic wave packet
2011/8/11
Abstract: The application of a recently developed numerical method for the solution of the time-dependent Dirac equation is presented. This numerical method, described in \cite{Lorin2011190}, is based...
Solution to Banff 2 Challenge Based on Likelihood Ratio Test
Solution Banff 2 Likelihood Ratio Test Statistics and Probability
2011/8/2
Abstract: We describe our solution to the Banff 2 challenge problems as well as the outcomes.
Bethe lattice solution of a model of SAW's with up to 3 monomers per site and no restriction
Bethe lattice solution model of SAW's 3 monomers per site no restriction
2010/11/23
In the multiple monomers per site (MMS) model, polymeric chains are represented by walks on
a lattice which may visit each site up to K times. We have solved the unrestricted version of this model, w...
Efimov Trimers : Analytic Solution Via Separable Potentials
Efimov states separable potentials dimer resonances
2011/1/7
The exact dynamical equation for Efimov trimers in the short range limit of dimer resonances is derived via Yamaguchi separable potentials. This equation which overcomes the non-uniqueness prob-lem of...
Analytical solution to position dependent mass Schrödinger equation
Analytical solution position dependent Schrö dinger equation
2010/11/11
Using a recently developed technique to solve Schr\"odinger equation for constant mass, we studied the regime in which mass varies with position i.e position dependent mass Schr\"odinger equation(PDMS...
Remarks on the Solution of the Position Dependent Mass (PDM) Schrödinger Equation
Position dependent mass Schr¨odinger equation Taylor Expansion Function theory Numerical approximation and analysis
2010/10/18
An approximate method is proposed to solve position dependent mass Schr¨odinger equation. The
procedure suggested here leads to the solution of the PDM Schr¨odinger equation without transforming the ...
Parallelized Solution to Semidefinite Programmings in Quantum Complexity Theory
Parallelized Solution Semidefinite Programmings Quantum Complexity Theory
2010/10/19
In this paper we present an equilibrium value based framework for solving SDPs via the multiplicative weight update method which is different from the one in Kale’s thesis [Kal07]. One of the main adv...
Numerical Solution of the Two-Dimensional Gross-Pitaevskii Equation for Trapped Interacting Atoms
Numerical Solution Two-Dimensional Gross-Pitaevskii Equation Trapped Interacting Atoms
2010/10/18
We present a numerical scheme for solving the time-independent nonlinear Gross-Pitaevskii equation in two dimensions describing the Bose-Einstein condensate of trapped interacting neutral atoms at zer...