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Public Documentation

Documentation for the submodule Brooglie.jl.

This module is a solver for the time-independent Schrödinger equation and a copy of a project https://github.com/RedPointyJackson/Brooglie (MIT License).

Index

Public Interface

CarrierCapture.Brooglie.buildH — Method
buildH(V; N=20, a=-1, b=1, m=1)

Hamiltonian of a particle of mass m in a box spanning from a to b in all D dimensions with a basis of N elements (number of partitions of the space in each coordinate). The potential V(x, y, z, ...) is a function of D arguments.

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CarrierCapture.Brooglie.solve — Method
solve(V; N=500, a=-1, b=1, m=1, nev=N÷20, maxiter=1000)

Solve the potential V(x,y,z,...) in a grid xᵢ ∈ [a,b], discretized in N steps.

The particle is assumed to have mass m (by default 1, a electron mass).

The function will return the nev first energy levels (in Hartree[1]) and its normalized eigenfunctions.

[1] A Hartree is equivalent to 27.21… eV. The global variable H2eV, equal to that value, can be accessed under Brooglie.H2eV for convenience.

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