Theory of complete orthonormal sets of relativistic tensor wave functions and Slater tensor orbitals of particles with arbitrary spin in position, momentum and four-dimensional spaces

2009 ◽  
Vol 373 (25) ◽  
pp. 2178-2181 ◽  
Author(s):  
I.I. Guseinov
1995 ◽  
Vol 51 (5) ◽  
pp. 2347-2352 ◽  
Author(s):  
Chao-Shang Huang ◽  
Hong-Ying Jin ◽  
Yuan-Ben Dai

1968 ◽  
Vol 6 (6) ◽  
pp. 671-686 ◽  
Author(s):  
P.J. Caudrey ◽  
I.J. Ketley ◽  
R.C. King

2014 ◽  
Vol 92 (1) ◽  
pp. 51-58
Author(s):  
Majid Hamzavi ◽  
Sameer M. Ikhdair

In the presence of spin and pseudo-spin symmetries, we obtain approximate analytical bound state solutions to the Dirac equation with scalar–vector inverse quadratic Yukawa potential including a Yukawa tensor interaction for any arbitrary spin–orbit quantum number, κ. The energy eigenvalues and their corresponding two-component spinor wave functions are obtained in closed form using the parametric Nikiforov–Uvarov method. It is noticed that the tensor interaction removes the degeneracy in the spin and p-spin doublets. Some numerical results are obtained for the lowest energy states within spin and pseudo-spin symmetries.


2013 ◽  
Vol 91 (7) ◽  
pp. 560-575 ◽  
Author(s):  
Akpan N. Ikot ◽  
E. Maghsoodi ◽  
Akaninyene D. Antia ◽  
S. Zarrinkamar ◽  
H. Hassanabadi

In this paper, we present the Dirac equation for the Mobius square – Yukawa potentials including the tensor interaction term within the framework of pseudospin and spin symmetry limit with arbitrary spin–orbit quantum number, κ. We obtain the energy eigenvalues and the corresponding wave functions using the supersymmetry method. The limiting cases of the problem, which reduce to the Deng-Fan, Yukawa, and Coulomb potentials, are discussed.


1985 ◽  
Vol 63 (11) ◽  
pp. 1427-1437 ◽  
Author(s):  
C. S. Lam ◽  
M. V. Tratnik

We derive operator-product expansions of any number of operators of arbitrary spin that are invariant under the collinear conformal group. The corresponding parton wave functions of hadrons are calculated. The result can be expressed in terms of the conformal polynomials or the dual-conformal polynomials, the properties of which are also discussed.


1994 ◽  
Vol 4 (4) ◽  
pp. 493-497 ◽  
Author(s):  
O. Veits ◽  
R. Oppermann ◽  
M. Binderberger ◽  
J. Stein
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