On a fundamental system of solutions of the matrix Schrödinger equation with a polynomial energy-dependent potential

2010 ◽  
Vol 33 (11) ◽  
pp. 1372-1383 ◽  
Author(s):  
A. Adiloglu Nabiev
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Fundamental System ◽  
The Matrix ◽  
Dependent Potential ◽  
Energy Dependent

Identities for Eigenvalues of the Schrödinger Equation with Energy-Dependent Potential

2011 ◽  
Vol 66 (12) ◽  
pp. 699-704 ◽  
Author(s):  
Chuan Fu Yang
Keyword(s):  
Schrödinger Equation ◽  
Boundary Conditions ◽  
Schrodinger Equation ◽  
Eigenvalue Problems ◽  
Schrödinger Operators ◽  
Contour Integration ◽  
Schrodinger Operators ◽  
Separated Boundary Conditions ◽  
Dependent Potential ◽  
Energy Dependent

The present paper deals with eigenvalue problems for the Schrödinger equation with energy dependent potential and some separated boundary conditions. Using the method of contour integration, we obtain some new regularized traces for this class of Schrödinger operators.

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