کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8201270 | 1529815 | 2018 | 29 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A phenomenon of splitting resonant-tunneling one-point interactions
ترجمه فارسی عنوان
یک پدیده تکه شدن تونل تعامل یک نقطه
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کلمات کلیدی
انتقال در یک سیستم کوانتومی یک بعدی، تونل زنی رزونانس از طریق مانع تک نقطه ای، تعامل نقطه، اثر تقسیم،
موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک و نجوم (عمومی)
چکیده انگلیسی
The so-called δâ²-interaction as a particular example in Kurasov's distribution theory developed on the space of discontinuous (at the point of singularity) test functions, is identified with the diagonal transmission matrix, continuously depending on the strength of this interaction. On the other hand, in several recent publications, the δâ²-potential has been shown to be transparent at some discrete values of the strength constant and opaque beyond these values. This discrepancy is resolved here on the simple physical example, namely the heterostructure consisting of two extremely thin layers separated by infinitesimal distance. In the three-scale squeezing limit as the thickness of the layers and the distance between them simultaneously tend to zero, a whole variety of single-point interactions is realized. The key point is the generalization of the δâ²-interaction to the family for which the resonance sets appear in the form of a countable number of continuous two-dimensional curves. In this way, the connection between Kurasov's δâ²-interaction and the resonant-tunneling point interactions is derived and the splitting of the resonance sets for tunneling plays a crucial role.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Physics - Volume 396, September 2018, Pages 479-494
Journal: Annals of Physics - Volume 396, September 2018, Pages 479-494
نویسندگان
A.V. Zolotaryuk,