Akademik Veri Yönetim Sistemi
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, cilt.42, sa.38, 2009 (SCI-Expanded)
A systematic search for superintegrable quantum Hamiltonians describing the interaction between two particleswith spins 0 and 1/2 is performed. We restrict to integrals of motion that are first-order (matrix) polynomials in the components of linear momentum. Several such systems are found and for one nontrivial example we show how superintegrability leads to exact solvability: we obtain exact (nonperturbative) bound-state energy formulas and exact expressions for the wave functions in terms of products of Laguerre and Jacobi polynomials.