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Solutions of the Dirac Equation in a Magnetic Field and Intertwining Operators
Репозиторій DSpace/Manakin
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8
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- Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік
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Solutions of the Dirac Equation in a Magnetic Field and Intertwining Operators
Інший ID:
2010 Mathematics Subject Classification: 81Q05; 81Q60; 81Q80
DOI: http://dx.doi.org/10.3842/SIGMA.2012.082
DOI: http://dx.doi.org/10.3842/SIGMA.2012.082
Посилання:
Solutions of the Dirac Equation in a Magnetic Field and Intertwining Operators / A. Contreras-Astorga, D. J. Fernández C., J. Negro // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 21 назв. — англ.
Підтримка:
This paper is a contribution to the Special Issue “Superintegrability, Exact Solvability, and Special Functions”. The full collection is available at http://www.emis.de/journals/SIGMA/SESSF2012.html.
We acknowledge financial support from Ministerio de Ciencia e Innovaci´on (MICINN) of Spain, projects MTM2009-10751, and FIS2009-09002. ACA acknowledges to Conacyt a PhD grant and the kind hospitality at University of Valladolid. DJFC acknowledges the financial support of Conacyt, project 152574.
Дата:
2012
Переглядів:
372
Завантажень:
211
Анотація:
The intertwining technique has been widely used to study the Schrödinger equation and to generate new Hamiltonians with known spectra. This technique can be adapted to find the bound states of certain Dirac Hamiltonians. In this paper the system to be solved is a relativistic particle placed in a magnetic field with cylindrical symmetry whose intensity decreases as the distance to the symmetry axis grows and its field lines are parallel to the x−y plane. It will be shown that the Hamiltonian under study turns out to be shape invariant.
