Summary
Some interpolation formulae in energy for the wave function and the Jost functions are derived in the case of central potentials having a finite radius. These formulae provide uniformly convergent series expansions, valid in the entire energy plane, for each function, when one knows its value on a discrete set of the real axis.
Riassunto
Si deducono alcune formule di interpolazione nell’energia per la funzione d’onda e le funzioni di Jost nel caso di potenziali centrali con raggio finito. Queste formule danno sviluppi in serie uniformemente convergenti, validi per ciascuna funzione in tutto il piano dell’energia, se si conoscono i loro valori in un gruppo discreto di punti dell’asse reale.
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Literatur
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Chadan, K. The interpolation of the wave function and the jost functions in the energy plane. Nuovo Cim 39, 697–703 (1965). https://doi.org/10.1007/BF02735836
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DOI: https://doi.org/10.1007/BF02735836