Unitary Operators and Variational Approaches for One-Dimensional Hamiltonians
Guillermo H. Bozzolo, Carlos Esebbag, J. Nunez, Angel Ricardo Plastino · Progress of Theoretical Physics · 1988
Several variational approaches for the one-dimensional Schrödinger equation are devised by recourse to suitable expansions of the unitary operator that relates the corresponding eigenstates of the harmonic oscillator. A connection with the virial theorem, via scaling properties is established and an application to the ring puckering motion is discussed.