Rs. Kaushal et D. Parashar, CAN QUANTUM-MECHANICS AND SUPERSYMMETRIC QUANTUM-MECHANICS BE THE MULTIDIMENSIONAL ERMAKOV THEORIES, Journal of physics. A, mathematical and general, 29(4), 1996, pp. 889-893
For both the Schrodinger equation in quantum mechanics and the Riccati
-type equation satisfied by the superpotential in supersymmetric quant
um mechanics, we explicitly show that there exists an Ermakov-type fun
ctional invariant with respect to the space variable. An energy-like i
nterpretation is suggested for this invariant.