Speakers
Hassan Hassanabadi
(Shahrood University of Technology)
Jan Kriz
(University of Hradec Kralove)
Description
In this paper, we investigated the behavior of non-relativistic particles of two-body system by considering the Dunkl operator and reached two second-order differential equations about even and odd parities. We expressed the even cases and obtained the wave function in terms of the generalized Laguerre polynomials and normed constant. Also, we solved the odd term of Hamiltonian with the QES method and we came directly to a general equation for energy. Also, we determined the exact solutions for arbitrary n through sl(2) algebra and reached to wave functions of the system. We have considered the harmonic oscillator and we separate the energy for singlet and triplet cases.
Primary author
Hassan Hassanabadi
(Shahrood University of Technology)
