N = 4 Superconformal Quantum Mechanics in One Dimension and Its Algebraic Structure*

N = 4 superconformal quantum mechanics of nonrelativistic particles in the typical 1/x(2)-potentials, which holds not only supersymmetry but also dynamical conformal symmetry, is studied. The corresponding superconformal quantum mechanical algebra, which contains supersymmetric quantum mechanical algebra With four supercharges and conformal algebra as subalgebras, and its two canonical group chains are established.