کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1861771 | 1037541 | 2009 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Solutions of nonrelativistic Schrödinger equation from relativistic Klein–Gordon equation
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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: Solutions of nonrelativistic Schrödinger equation from relativistic Klein–Gordon equation Solutions of nonrelativistic Schrödinger equation from relativistic Klein–Gordon equation](/preview/png/1861771.png)
چکیده انگلیسی
The relativistic one-dimensional Klein–Gordon equation can be exactly solved for a certain class of potentials. But the nonrelativistic Schrödinger equation is not necessarily solvable for the same potentials. It may be possible to obtain approximate solutions for the inexact nonrelativistic potential from the relativistic exact solutions by systematically removing relativistic portion. We search for the possibility with the harmonic oscillator potential and the Coulomb potential, both of which can be exactly solvable nonrelativistically and relativistically. Though a rigorous algebraic approach is not deduced yet, it is found that the relativistic exact solutions can be a good starting point for obtaining the nonrelativistic solutions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 374, Issue 2, 28 December 2009, Pages 116–122
Journal: Physics Letters A - Volume 374, Issue 2, 28 December 2009, Pages 116–122
نویسندگان
Hosung Sun,