Azerbaijan National Academy of Science

smnagiyev@physics.ab.az 

1.Scattering processes in QCD

2.Exactly solvable models of the relativistic quantum mechanics

3. Nuclear physics

4. Scattering processes in the weak interactions

1) The various  exactly solvable models of the harmonic oscillator, q- oscillator and singular oscillator are constructed and investigated

2) The BKH-type operator identities  are obtained

3)  The various properties of the classic orthogonal and q- orthogonal polynomials are investigated, in particular,  a connection between q- orthogonal polynomials and new orthogonal condition are obtained

4) A formalism for the description of the scattering processes of compound systems in the  QCD framework is proposed.

5) Relativistic Hamiltonian theory is formulated covariantly on the light cone.