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Progress of Theoretical Physics

Unitary Operators and Variational Approaches for One-Dimensional Hamiltonians

Guillermo H. Bozzolo, Carlos Esebbag, J. Nunez, Angel Ricardo Plastino

Published Jul 1, 1988• 0 citations
Publisher

Abstract

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.

DOI
10.1143/ptp.80.39

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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.
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