Exactly solvable interpolating Hamiltonians with position-dependent mass

摘要

It is shown that Hamiltonians of the form H(s) = (1 - s)H_- + sH_+, 0 ≤ s ≤ 1 where H_± are supersymmetric partner Hamiltonians corresponding to position-dependent mass Schr?dinger equations are exactly solvable for a number of deformed shape-invariant potentials. The method has also been extended to a system with broken supersymmetry.