Inverse eigenvalue problem for the discrete three-diagonal Sturm–Liouville operator and the continuum limit
نویسندگان
چکیده
منابع مشابه
Inverse eigenvalue problem for discrete three - diagonal Sturm - Liouville operator and the continuum limit
In present article the self-contained derivation of eigenvalue inverse problem results is given by using a discrete approximation of the Schrödinger operator on a bounded interval as a finite three-diagonal symmetric Jacobi matrix. This derivation is more correct in comparison with previous works which used only single-diagonal matrix. It is demonstrated that inverse problem procedure is nothin...
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15 صفحه اولInverse eigenvalue problem via finite-difference three-diagonal Schrödinger operator
In present article the self-contained derivation of eigenvalue inverse problem results is given by using a discrete approximation with three-diagonal SturmLiouville operator on a finite interval. It is demonstrated that inverse problem procedure is nothing else than well known Gram-Schmidt orthonormalization in Euclidean space for special vectors numbered by space coordinate index. All the resu...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2004
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/37/39/007