Report
Self-adjoint extension approach for singular Hamiltonians in (2+1) dimensions
| العنوان: | Self-adjoint extension approach for singular Hamiltonians in (2+1) dimensions |
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| المؤلفون: | Salem, Vinicius, Costa, Ramon F., Silva, Edilberto O., Andrade, Fabiano M. |
| المصدر: | Front. Phys. 7, 175 (2019) |
| سنة النشر: | 2019 |
| المجموعة: | Mathematics High Energy Physics - Theory Mathematical Physics Quantum Physics |
| مصطلحات موضوعية: | Mathematical Physics, High Energy Physics - Theory, Quantum Physics |
| الوصف: | In this work, we review two methods used to approach singular Hamiltonians in (2+1) dimensions. Both methods are based on the self-adjoint extension approach. It is very common to find singular Hamiltonians in quantum mechanics, especially in quantum systems in the presence of topological defects, which are usually modelled by point interactions. In general, it is possible to apply some kind of regularization procedure, as the vanishing of the wave function at the location of the singularity, ensuring that the wave function is square-integrable and then can be associated with a physical state. However, a study based on the self-adjoint extension approach can lead to more general boundary conditions that still gives acceptable physical states. We exemplify the methods by exploring the bound and scattering scenarios of a spin 1/2 charged particle with an anomalous magnetic moment in the Aharonov-Bohm potential in the conical space. Comment: 13 pages, 3 figures, matches published version |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.3389/fphy.2019.00175 |
| URL الوصول: | http://arxiv.org/abs/1910.07105 |
| رقم الانضمام: | edsarx.1910.07105 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.3389/fphy.2019.00175 |
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