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Статья: Solution of a two-dimensional time-dependent Schrödinger equation describing two interacting atoms in an optical trap

We introduce a numerical method to solve the two-dimensional time-dependent Schrödinger equation, which characterizes a system of two atoms with a finite-range interaction potential confined within a harmonic oscillator trap. We choose a Gaussian-shaped potential for the interaction potential. Such a system has been previously studied analytically, except that a zero-range interaction potential was used instead. We observe a strong agreement between the results for the two types of interactions. Also, we investigate the one-dimensional time-dependent Schrödinger equation for the relative motion and compute the ground state energy level as a function of the coupling strength.

Формат документа: pdf
Год публикации: 2024
Кол-во страниц: 1
Загрузил(а): Ишмухамедов И. С.
Язык(и): Английский
Доступ: Всем