Theoretical Analysis of Different External trapping potential used in experimental of BEC

Al-Hashimi, Noori.H.N. Al-Hashimi

doi:10.9790/3021-021110105

Cited by 2 publications

(1 citation statement)

References 20 publications

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“…Here, it may be useful to remind that the classical form is presented like that: For both cases, we consider the trapping potential V as a time-independent potential. Physical properties for a trapping potential can be seen in [10] with more detail.…”

Section: Introductionmentioning

confidence: 99%

Numerical analysis for coupled systems of two-dimensional time-space fractional Schrödinger equations with trapping potentials

Hicdurmaz

2020

Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi

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In this study general and classical coupled systems of nonlinear time-space fractional Schrödinger equations (TSFSDE) with trapping potentials are investigated with a numerical approach. Theorems on stability of the finite difference schemes for such problems are established and presented with their proofs. Numerical solutions are investigated for one and two-dimensional cases. Convergence rates are proved by numerical experiments. Effect of a trapping potential on such systems is searched throughout the paper.

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Section: Introductionmentioning

confidence: 99%

Numerical analysis for coupled systems of two-dimensional time-space fractional Schrödinger equations with trapping potentials

Hicdurmaz

2020

Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi

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Theoretical Analysis of Wave Function under the Influence of Harmonic Oscillator Potential in BEC Experiments

Al-Hashimi¹

2014

IOSRJEN

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-This paper will focus on theoretical study of BEC in one dimension with weakly attractive interactions in particular in a symmetric harmonic oscillator potential. In this case, the ground state may not be symmetric state, which is in contrast to a BEC with repulsive interaction. The behaviors of the wave function under the influences of different external trapping potentials usually used in experiments that lead to produced Bose-Einstein condensation in ultra cold gases is analysis. Several values of harmonic trapping potentials are used. These analyses give us the overall view of the region of confinement that the external trapping potentials have employed and the influence of some terms in Gross-Pitaevskii equation.

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Theoretical Analysis of Different External trapping potential used in experimental of BEC

Cited by 2 publications

References 20 publications

Numerical analysis for coupled systems of two-dimensional time-space fractional Schrödinger equations with trapping potentials

Numerical analysis for coupled systems of two-dimensional time-space fractional Schrödinger equations with trapping potentials

Theoretical Analysis of Wave Function under the Influence of Harmonic Oscillator Potential in BEC Experiments

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