Time-dependent schrödinger equation with Markovian outgoing wave boundary conditions: Applications to quantum tunneling dynamics and photoionization

2012 ◽  
Vol 113 (1) ◽  
pp. 39-44 ◽  
Author(s):  
Chia-Chun Chou ◽  
Robert E. Wyatt
Keyword(s):  
Schrödinger Equation ◽  
Boundary Conditions ◽  
Quantum Tunneling ◽  
Schrodinger Equation ◽  
Time Dependent ◽  
Outgoing Wave ◽  
Tunneling Dynamics ◽  
Wave Boundary

Remarks on discrete and semi-discrete transparent boundary conditions for solving the time-dependent Schrödinger equation on the half-axis

2016 ◽  
Vol 31 (1) ◽  
Author(s):  
Alexander Zlotnik ◽  
Ilya Zlotnik
Keyword(s):  
Finite Difference ◽  
Schrödinger Equation ◽  
Boundary Conditions ◽  
Schrodinger Equation ◽  
Time Dependent ◽  
Finite Difference Schemes ◽  
Transparent Boundary Conditions ◽  
Space Step ◽  
Half Axis ◽  
Generalized Time

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

On the solution of the Schrödinger equation with time dependent boundary conditions

1994 ◽  
Vol 185 (3) ◽  
pp. 273-276 ◽  
Author(s):  
Daniel A. Morales ◽  
Zaida Parra ◽  
Rafael Almeida
Keyword(s):  
Schrödinger Equation ◽  
Boundary Conditions ◽  
Schrodinger Equation ◽  
Time Dependent
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