Constructive proof of the existence of bound state in one dimension

Foundations of Physics 27 (11):1495-1509 (1997)
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Abstract

A proof is given for the theorem that at least one bound state exists in a one-dimensional attractive potential however weak it may be. The proof is constructive in that it provides a method to explicitly solve the eigenvalue problem for the eigenvalues as well as the eigenfunctions. The method is well suited to precise numerical calculations

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10.1007/bf02551496

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