The Second Derivative of A Delta – Function Potential: An Exactly Solvable Model
نوع المنشور
بحث أصيل
المؤلفون
  • Sami M. Al-Jaber
النص الكامل
تحميل

We consider an exactly solvable model, namely the  interaction that is one of the point interactions. For the repulsive case, we drive the reflection and transmission coefficients. It is shown that the coefficients satisfy the unitarity of the scattering matrix. If the incident particle has a certain energy, then the barrier becomes perfectly reflective. Furthermore, it is shown that the barrier becomes completely transmittive for the high-energy behavior. For the attractive case, we examine both the bound states and the scattering states. It is shown that there exist two bound states and for the scattering case it is demonstrated that one recovers the same reflection and transmission coefficients that were obtained for the repulsive case.

المجلة
العنوان
IL Nuovo Cimento, 115B, No. 12, 1397
الناشر
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بلد الناشر
فلسطين
نوع المنشور
Both (Printed and Online)
المجلد
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السنة
2000
الصفحات
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