Analytical results for the Morse potential in s-wave ultracold scattering: three dimensional vs. one dimensional problem

التفاصيل البيبلوغرافية
العنوان: Analytical results for the Morse potential in s-wave ultracold scattering: three dimensional vs. one dimensional problem
المؤلفون: Paris-Mandoki, Asaf, Jáuregui, Rocío
سنة النشر: 2012
المجموعة: Physics (Other)
Quantum Physics
مصطلحات موضوعية: Quantum Physics, Physics - Atomic Physics
الوصف: Taking advantage of the known analytic expression of the eigenfunctions and eigenenergies of the Morse Hamiltonian, explicit expressions are found for the scattering length $a$ and the effective range $r_e$ which determine the s-wave scattering of ultracold atoms. The effects on $a$ and $r_e$ of considering the radial coordinate in the interval $[0,\infty)$ or in the extended region $(-\infty, \infty)$ are studied in detail.
Comment: 5 pages, 3 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1203.1285
رقم الانضمام: edsarx.1203.1285
قاعدة البيانات: arXiv