DISCRETE AND CONTINUOUS MODELS AND APPLIED COMPUTATIONAL SCIENCE
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Solution of a two-dimensional time-dependent Schrödinger equation describing two interacting atoms in an optical trap (2024)
Выпуск:
№ 2, Том 32 (2024)
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.