Summary
The self-adjoint extensions of −d2/dx 2−λx −n,n≧2, on [0, ∞) are described in terms of an inhomogeneous boundary value problem. The eigenvalue equation may be obtained in terms of the connection coefficients, connecting the solutions at zero and infinity.
Riassunto
Si descrivono le estensioni autoaggiunte di −d2/dx 2−λx −n,n≧2, su [0, ∞) in termini di un problema di valore limite inomogeneo. L’equazione di autovalore può essere ottenuta in termini di coefficienti di connessione, che connettono le soluzioni allo zero e all’infinito.
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This work was supported in part by National Science Foundation Grant No. ENG 75 15882.
Traduzione a cura della Redazione.
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Burnap, C., Greenberg, W. & Zweifel, P.F. Eigenvalue problem for singular potentials. Nuov Cim A 50, 457–465 (1979). https://doi.org/10.1007/BF02902552
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DOI: https://doi.org/10.1007/BF02902552