Quantitative uniqueness for Schroedinger operator

2012 ◽  
Vol 61 (4) ◽  
pp. 1565-1580 ◽  
Author(s):  
Laurent Bakri
Keyword(s):  
Schroedinger Operator

Infinite Matrices, Ritz Theorem and Bound State Problems

1975 ◽  
Vol 30 (2) ◽  
pp. 256-261 ◽  
Author(s):  
A. K. Mitra
Keyword(s):  
Eigenvalue Problem ◽  
Convenient Method ◽  
Bound State ◽  
Wave Functions ◽  
Infinite Matrix ◽  
Variational Technique ◽  
Matrix Eigenvalue Problem ◽  
Schroedinger Operator ◽  
Matrix Eigenvalue ◽  
Finite Matrix

Abstract The straight forward application of the Ritz variational technique has been shown to be a very convenient method for obtaining numerically the first few discrete eigenvalues of the Schroedinger operator with certain special types of potentials. This method solves essentially the (finite) matrix eigenvalue problem obtained by truncating the infinite matrix representing the Schroedinger operator with respect to the Coulomb wave functions. The Ritz theorem justifies the validity of this truncation procedure.

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