scholarly journals Time-dependent source identification problem for the Schrödinger equation with nonlocal boundary conditions

2019 ◽  
Author(s):  
Allaberen Ashyralyev ◽  
Mesut Urun
Keyword(s):  
Schrödinger Equation ◽  
Boundary Conditions ◽  
Source Identification ◽  
Schrodinger Equation ◽  
Nonlocal Boundary ◽  
Nonlocal Boundary Conditions ◽  
Identification Problem ◽  
Time Dependent

scholarly journals On the method of pseudopotential for Schrödinger equation with nonlocal boundary conditions

2001 ◽  
Vol 6 (6) ◽  
pp. 329-338
Author(s):  
Yuriy Valentinovich Zasorin
Keyword(s):  
Schrödinger Equation ◽  
Boundary Conditions ◽  
Explicit Form ◽  
Schrodinger Equation ◽  
Scattering Amplitude ◽  
Nonlocal Boundary ◽  
Nonlocal Boundary Conditions ◽  
Wave Functions ◽  
Stationary Schrödinger Equation ◽  
Fixed Level

For stationary Schrödinger equation inℝ nwith the finite potential the singular pseudopotential is constructed in the form allowing us to find wave functions. The method does not require the knowledge of the explicit form of a potential and assumes only knowledge of the scattering amplitude for fixed level of energy.

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