Splitting in Potential Finite-Difference Schemes with Discrete Transparent Boundary Conditions for the Time-Dependent Schrödinger Equation

Author(s):  
Alexander Zlotnik ◽  
Bernard Ducomet ◽  
Ilya Zlotnik ◽  
Alla Romanova
Author(s):  
Alexander Zlotnik ◽  
Ilya Zlotnik

AbstractWe consider the generalized time-dependent Schrödinger equation on the half-axis and a broad family of finite-difference schemes with the discrete transparent boundary conditions (TBCs) to solve it. We first rewrite the discrete TBCs in a simplified form explicit in space step


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