کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1855047 | 1529920 | 2009 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Exact, zero-energy, square-integrable solutions of a model related to the Maxwell’s fish-eye problem
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موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Exact, zero-energy, square-integrable solutions of a model related to the Maxwell’s fish-eye problem Exact, zero-energy, square-integrable solutions of a model related to the Maxwell’s fish-eye problem](/preview/png/1855047.png)
چکیده انگلیسی
A model, which admits normalizable wave functions of the Schrödinger equation at the energy of E = 0, is exactly solved and the solutions are compared to the corresponding classical trajectories. The wave functions are proved to be square-integrable for discrete (quantized) values of the coupling constant of the used potential. We also show that our model is a specific version of the well-known Maxwell’s fish-eye. This is performed with the help of a suitably chosen conformal mapping.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Physics - Volume 324, Issue 12, December 2009, Pages 2465–2472
Journal: Annals of Physics - Volume 324, Issue 12, December 2009, Pages 2465–2472
نویسندگان
Adam J. Makowski,