تقرير
Divergence of $\langle p^6\rangle$ in discontinuous potential wells
| العنوان: | Divergence of $\langle p^6\rangle$ in discontinuous potential wells |
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| المؤلفون: | Ahmed, Zafar, Kumar, Sachin, Ghosh, Dona, Nathan, Joseph Amal |
| المصدر: | Eur. J. Phys. 41 (2020) 019401 |
| سنة النشر: | 2018 |
| المجموعة: | Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics |
| الوصف: | The surprising divergence of the expectation value $<\!p^6\!>$ for the square well potential is known. Here, we prove and demonstrate the divergence of $<\!p^6\!>$ in potential wells which have a finite jump discontinuity; apart from the square-well two-piece half-potentials wells are examples. These half-potential wells can be expressed as $V(x)=-U(x) \Theta(x)$, where $\Theta(x)$ is the Heaviside step function. $U(x)$ are continuous and differentiable functions with minimum at $x=0$ and which may or not vanish as $x\sim \infty$. Comment: Five figures and 5 pages |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1088/1361-6404/aac988 |
| URL الوصول: | http://arxiv.org/abs/1803.01597 |
| رقم الأكسشن: | edsarx.1803.01597 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1088/1361-6404/aac988 |
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