Path integral of a relativistic spinning particle in (1+1) dimension with vector and scalar linear potentials in the presence of a minimal length
2014 ◽
Vol 29
(07)
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pp. 1450037
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Keyword(s):
Using the path integral formalism in (1+1) dimension of the energy–momentum space representation, we calculate the Green function of relativistic spinning particle subjected to the action of combined vector and scalar linear potentials in the framework of deformed Heisenberg algebra which distinguish to the appearance of nonzero minimum position uncertainty given by [Formula: see text] where β is the deformation parameter of the modified Heisenberg uncertainty relation [Formula: see text]. We adapt the space–time transformation method to evaluate quantum corrections and this latter are dependent on the α-point discretization interval. The exact bound states spectrum and the corresponding momentum space wave function are obtained.
1990 ◽
Vol 05
(12)
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pp. 943-947
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1995 ◽
Vol 36
(4)
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pp. 1602-1615
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1994 ◽
Vol 09
(18)
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pp. 3245-3282
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1969 ◽
Vol 10
(6)
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pp. 1004-1020
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2020 ◽
Vol 35
(25)
◽
pp. 2050150
2004 ◽
Vol 12
(2)
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pp. 197-204
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Keyword(s):