GALILEAN COVARIANT DIRAC EQUATION WITH A WOODS–SAXON POTENTIAL
2013 ◽
Vol 22
(12)
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pp. 1350092
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Keyword(s):
We derive and solve the Galilean covariant Dirac equation, also called "Lévy-Leblond equation", for spin-½ particles in a Woods–Saxon potential. We obtain this wave equation with a Galilean covariant approach, which is based on a (4+1)-dimensional manifold with light-cone coordinates followed by a reduction to the (3+1)-dimensional Galilean space-time. We apply the Pekeris approximation and exploit the Nikiforov–Uvarov method to find the energy eigenvalues and eigenfunctions.
2006 ◽
Vol 21
(27)
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pp. 2087-2097
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2017 ◽
Vol 1
(1)
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pp. 1
2009 ◽
Vol 18
(03)
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pp. 631-641
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1977 ◽
Vol 10
(7)
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pp. 1209-1224
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2010 ◽
Vol 19
(07)
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pp. 1463-1475
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2011 ◽
Vol 3
(2)
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pp. 239-247
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Keyword(s):