ON THE APPLICATION OF SPECTRAL THEORY TO OBTAIN ESTIMATES OF SOLUTIONS OF THE SCHRÖDINGER EQUATION

1974 ◽  
Vol 22 (2) ◽  
pp. 167-186 ◽  
Author(s):  
Ju B Oročko
Keyword(s):  
Schrödinger Equation ◽  
Spectral Theory ◽  
Schrodinger Equation ◽  
Estimates Of Solutions

The existence of eigenvalues of infinite multiplicity for the Schrödinger operator

1980 ◽  
Vol 86 (1-2) ◽  
pp. 61-64 ◽  
Author(s):  
Christine R. Thurlow ◽  
Michael S.P. Eastham
Keyword(s):  
Schrödinger Equation ◽  
Spectral Theory ◽  
Schrödinger Operator ◽  
Schrodinger Equation ◽  
Dimensional Space ◽  
Schrodinger Operator ◽  
Inverse Spectral Theory ◽  
Inverse Spectral ◽  
Infinite Multiplicity

SynopsisIt is shown that eigenvalues of infinite multiplicity can exist for the Schrödinger equation holding in the whole N-dimensional space RN(N ≧ 2). In the example which is constructed, the potential is separable and bounded in RN, and the method is an application of inverse spectral theory.

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