QuSim

Quantum simulation and visualization program for wave function.

Note

The core functions of this project is avoiding using the Windows SDK, except the GUI part. Now the GUI part of this project is moving from native Windows API to the partable GUI library, nana.

Algorithm and Theory

See the FILE. Now the progress of document is far behind the codes.

Quantum Evolution for 1 Dimension Wave Function

Solve the 1 D time evolution problem for given initial wave function and potential.

Quantum Evolution for 2 Dimension Wave Function

Solve the 2 D time evolution problem for given inital wave function and potential.

Solver for Quantum 1 Dimension Initial Value Problem

Solve the 1 D initial value problem for given intial condition, energy, and potential. The solver for two-side boundary value problem using shooting method is also provoided.

Solver for Quantum 2 Dimension Scattering Problem

Solve the 2 D scattering problem for given initial wave function, energy, and potential.

Q & A

Q: The difference between FFTW3 and KISS

A: The FFTW3 is about as twice fast as the KISS.

Hardware

GPU is supported by GPU_CUDA device. You can utilize GPU by building with CUDA and set options with Options opts; opts.Cuda();. Multiple-threading is supported by CPU_PAR device. You can utilize multiple-core with Options opts; opts.CpuPar();.

Vectorized-instruction is supported by automatic vectorization support of the compiler. The CpuParVec() means we will try to use std::execution::parallel_unsequenced_policy. But it seems the same as the std::execution::parallel_policy . Similar, the CpuVec() is the same as the CpuSeq(). However, for CpuParVec() , CpuVec() , CpuPar() and CpuSeq(), the vectorization can be de done because of the automatic vectorization support of the compiler.