Relativistic Scattering Amplitude in the Pöschl-Teller Double Ring-Shaped Coulomb Potential
- سال انتشار: 1400
- محل انتشار: فصلنامه فیزیک و مهندسی پرتو، دوره: 2، شماره: 4
- کد COI اختصاصی: JR_RPE-2-4_002
- زبان مقاله: انگلیسی
- تعداد مشاهده: 181
نویسندگان
Depatment of Physics, Imam Hossein Comprehensive University
Department of Medical Engineering, Faculty of Health and Medical Engineering, Tehran Medical Sciences, Islamic Azad University, Tehran, Iran
Department of Physics, Faculty of Science, An-Najah National University, Nablus, West Bank, Palestine
چکیده
The scattering problems, in the presence of an external potential field, have become highly interesting topics in relativistic and non-relativistic quantum mechanics. It is well known that the scattering of a relativistic particle in the field of a potential can be treated exactly by finding the continuum solutions of the Dirac equation. In this research, we obtain the exact solution to the Dirac equation with the Pöschl-Teller double ring-shaped Coulomb (PTDRSC) potential for any spin-orbit quantum number k. The relativistic scattering amplitude for spin ۱/۲ particles in the field of this potential has been studied. The wave functions are being expressed in terms of the hyper-geometric series of the continuous states on the k/۲π scale. In addition, a formula for the phase shifts has also been found. In the nonrelativistic limits, our solution to the Dirac particle converges to that of the Schrödinger one. At the high temperature, the partition function is being calculated in order to study the behavior of some thermodynamic properties.کلیدواژه ها
Dirac equation, Pö schl-Teller doubles ring-shaped Coulomb potential, Scattering Amplitudeاطلاعات بیشتر در مورد COI
COI مخفف عبارت CIVILICA Object Identifier به معنی شناسه سیویلیکا برای اسناد است. COI کدی است که مطابق محل انتشار، به مقالات کنفرانسها و ژورنالهای داخل کشور به هنگام نمایه سازی بر روی پایگاه استنادی سیویلیکا اختصاص می یابد.
کد COI به مفهوم کد ملی اسناد نمایه شده در سیویلیکا است و کدی یکتا و ثابت است و به همین دلیل همواره قابلیت استناد و پیگیری دارد.