Abstract
The Schrödinger equation is studied in a finite subspace of the Hilbert space. The truncation of the configuration space makes the (effective) interaction energy-dependent. This dependency is investigated. An analytic expression for the matrix elements of the effective interaction is established for the schematic model, for the displaced harmonic oscillator, for a simple random-phase problem and for a pairing force model. Thereby the phase transitions from bound to unbound states and from normal to superconducting states are analysed.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Supported by the Deutsche Forschungsgemeinschaft.
Rights and permissions
About this article
Cite this article
Kleber, M. On the energy dependence of the effective interaction. Z. Physik 239, 395–408 (1970). https://doi.org/10.1007/BF01401195
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01401195