| Resumen |
New type shift operators for circular well potential in two dimensions are identified. These so-called shift operators connect those quantum systems with the different potentials but with same energy spectrum. It should be noted that these operators depend on both the radial circular and angular variables r and ϕ. We find that the operators P± = Px± P y play the role of the shift operators. The radial linear momentum Pr =−i¯h ∂ ∂r , the angular momentum Lz =−i¯h ∂ ∂ϕ and the Hamiltonian form a complete set of commuting operators with the SO(2) symmetry. |
