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Manuscript Title: A basis-set based Fortran program to solve the Gross-Pitaevskii Equation for dilute Bose gases in harmonic and anharmonic traps. | ||

Authors: Rakesh Prabhat Tiwari, Alok Shukla | ||

Program title: bose.x | ||

Catalogue identifier: ADWZ_v1_0Distribution format: tar.gz | ||

Journal reference: Comput. Phys. Commun. 174(2006)966 | ||

Programming language: mostly Fortran 90. | ||

Computer: PC, Sun Ultra 10, HP Alpha, IBM. | ||

Operating system: Linux, Solaris, Tru64, AIX. | ||

Keywords: Bose-Einstein condensation, Gross-Pitaevskii Equation, Anharmonic potential, Numerical Solutions. | ||

PACS: 02.70.-c, 02.70.Hm, 03.75.Hh, 03.75.Nt. | ||

Classification: 7.7. | ||

Nature of problem:It is widely believed that the static properties of dilute Bose condensates, as obtained in atomic traps, can be described to a fairly good accuracy by the time-independent Gross-Pitaevskii equation. This program presents an efficient approach to solving this equation. | ||

Solution method:The solutions of the Gross-Pitaevskii equation corresponding to the condensates in atomic traps are expanded as linear combinations of simple-harmonic oscillator eigenfunctions. Thus, the Gross-Pitaevskii equation which is a second-order, nonlinear, differential equation, is transformed into a matrix eigenvalue problem. Thereby, its solutions are obtained in a self-consistent manner, using methods of computational linear algebra. | ||

Running time:Less than a minute for the examples. |

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