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DOE OSTI · 22075536

Nondirect product discrete variable representation in multidimensional quantum problems

Melezhik, Vladimir S
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Abstract

We have developed a method for treating different quantum few-body dynamics without traditional partial-wave analysis. The key element of the method is a nondirect product discrete variable representation (npDVR) we have suggested and developed in application to the time-dependent mutidimensional Schroedinger equations. It happened that this approach was very efficient in quantitative analysis of low-dimensional ultracold few-body systems arising in confined geometry of atomic traps. As an example, we consider the numerical analysis of the four-dimensional Schroedinger equation describing the resonant molecule formation in confined two-component atomic mixture with transferring the energy release to the center-ofmass excitation of forming molecules.

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71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS74 ATOMIC AND MOLECULAR PHYSICSEXCITATIONFOUR-DIMENSIONAL CALCULATIONSMANY-BODY PROBLEMMIXTURESMOLECULESNONLINEAR PROBLEMSNUMERICAL ANALYSISPARTIAL WAVESSCHROEDINGER EQUATIONTIME DEPENDENCETRAPS

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Melezhik, Vladimir S. 2012-09-26. Nondirect product discrete variable representation in multidimensional quantum problems. https://doi.org/10.1063/1.4756366

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