Solution of the Dirac equation with some superintegrable potentials by the quadratic algebra approach
2014 ◽
Vol 29
(06)
◽
pp. 1450028
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Keyword(s):
The Dirac equation with scalar and vector potentials of equal magnitude is considered. For the two-dimensional harmonic oscillator superintegrable potential, the superintegrable potentials of E8 (case (3b)), S4 and S2, the Schrödinger-like equations are studied. The quadratic algebras of these quasi-Hamiltonians are derived. By using the realization of the quadratic algebras in a deformed oscillator algebra, the structure function and the energy eigenvalues are obtained.
Keyword(s):
2012 ◽
Vol 27
(21)
◽
pp. 1250114
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2016 ◽
Vol 31
(35)
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pp. 1650190
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2000 ◽
Vol 100
(2)
◽
pp. 2061-2076
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1997 ◽
Vol 30
(6)
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pp. 2021-2026
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2014 ◽
Vol 53
(7)
◽
pp. 2451-2457
1993 ◽
Vol 28
(3)
◽
pp. 187-193
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Keyword(s):