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Parallel Two-Dimensional Time-Dependent Schrödinger Equation Model

Website Address:https://www.curriki.org/oer/Parallel-Two-Dimensional-Time-Dependent-Schrödinger-Equation-Model-137612
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Learning RegistryLearning RegistryDistrict of Columbia, District of Columbia, US,
November 11, 2016
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Description:

The Parallel Two-Dimensional Time-Dependent Schrödinger Equation Model implements a staggered-time algorithm in which the real and imaginary parts of the wave function on a 2D grid are defined at alternate times as described by Visscher. Because the each part of the wave fucntion (real or imaginary) depends on the other part, the update loop can be parallelized. The algorithm is well suited for pedagogic applications because it is second-order accurate in time and has the speed and simplicity of explicit methods and the accuracy and stability of second-order implicit methods, such as Crank-Nicholson. The Parallel Two-Dimensional Ising Model was developed by Wolfgang Christian using the Easy Java/JavaScript Simulations (EjsS) version 5 modeling tool. It is based on a Java program from An Introduction to Computer Simulation Methods and is distributed as a ready-to-run Java program (jar file) and as EjsS source code (xml file).

Subjects:

  • Education > General

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Keywords:

Foundations and Measurements,Informal Education,Higher Education,oai:nsdl.org:2200/20140830111123347T,NSDL,Active Learning,Time Dependence,Undergraduate (Upper Division),Undergraduate (Lower Division),Wave Functions,Education Practices,Quantum Physics,NSDL_SetSpec_439869,Bound State Systems,Education,Physics,Vocational/Professional Development Education

Language:

English

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Public - Available to anyone

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Creative Commons Attribution Non-Commercial Share Alike

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The Parallel Two-Dimensional Time-Dependent Schrödinger Equation Model implements a staggered-time algorithm in which the real and imaginary parts of the wave function on a 2D grid are defined at alternate times as described by Visscher. Because the each part of the wave fucntion (real or imaginary) depends on the other part, the update loop can be parallelized. The algorithm is well suited for pedagogic applications because it is second-order accurate in time and has the speed and simplicity of explicit methods and the accuracy and stability of second-order implicit methods, such as Crank-Nicholson. The Parallel Two-Dimensional Ising Model was developed by Wolfgang Christian using the Easy Java/JavaScript Simulations (EjsS) version 5 modeling tool. It is based on a Java program from An Introduction to Computer Simulation Methods and is distributed as a ready-to-run Java program (jar file) and as EjsS source code (xml file).
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