Analytical solution of the Duffin - Kemmer - Petiau equation for the sum of the Manning - Rosen and the Yukawa class potential
Keyword(s):
This paper presents an analytical bound-state solution to the Duffin - Kemmer - Petiau equation for the new putative combined Manning - Rosen and Yukawa class potentials. Using the developed scheme to approximate and overcome the difficulties arising in the centrifugal part of the potential, the bound-state solution of the modified Duffin - Kemmer - Petiau equation is found. Analytical expressions of energy eigenvalue and the corresponding radial wave functions are obtained for an arbitrary value of the orbital quantum number l . Also, eigenfunctions are expressed in terms of hypergeometric functions. It is shown that energy levels and eigenfunctions are quite sensitive to the choice of radial and orbital quantum numbers.
2018 ◽
Vol 33
(33)
◽
pp. 1850203
◽
Keyword(s):
2016 ◽
Vol 25
(01)
◽
pp. 1650002
◽
Keyword(s):
2019 ◽
Vol 71
(3)
◽
pp. 267
◽
Keyword(s):
2010 ◽
Vol 25
(33)
◽
pp. 2849-2857
◽
Keyword(s):
2007 ◽
Vol 177
(8)
◽
pp. 649-675
◽
Keyword(s):
2015 ◽
Vol 70
(7)
◽
pp. 499-505
◽
Keyword(s):
2017 ◽
Vol 8
(1)
◽
pp. 323-338
◽