Hydrogenic Wavefunction Visulization Tool: Hydrogenic Wavefunction Visulization Tool - File Exchange

Code covered by the BSD License

Highlights from
Hydrogenic Wavefunction Visulization Tool

Hydrogenic Wavefunction Visul... Visualize hydrogenic wave-functions in 3D and watch animations of atomic state changes
... resizeWavefunctionGrid Resize wavefunctions onto a uniform grid
LaguerreGen.m
LegendrePoly(n) LegendrePoly.m by David Terr, Raytheon, 5-10-04
animateTransition(tVec, dim, ... animateTransition Displays an animation of a state transition
autoThreshold( psi ) autoThreshold Estimate wavefunction iso-surface thresholds for visual effect
blochSpherePlot( varargin ) blochSpherePlot Displays the Bloch sphere representation of a system
calculateHydrogenicWavefuncti...
calculateHydrogenicWavefuncti... calculateHydrogenicWavefunctionBounds Find wavefunction's bounding box
calculateTransitionalState(ps... calculateTransitionalState Calculate wavefunction during a transition.
dipoleMoment(psi1,psi2,dim) dipoleMoment The dipole moment between two 3d wave-functions
findRadialMaximum( psi ) findRadialMaximum Calculate the radial line of maximum probability density
findWavefunctionsBoundingRadi... findWavefunctionsBoundingRadius Finds the bounding radius of wavefunctions
generateWavefunctionList( var... generateWavefunctionList Calculates a list of wavefunctions
getPsiFromNLM(psiList, N,L,M) getPsiFromNLM Finds an entry in psiList representing state |N,L,M>
getPsiList( varargin ) getPsiList Finds, loads or generates the list of wavefunctions
guiTrans(varargin) Copyright 2009 The MathWorks, Inc.
isElectricDipoleTransition( N... isElectricDipoleTransition Indicates allowed electric dipole transitions
lookupLNomenclature(L) lookupLNomenclature Returns name for given angular momentum state
options(varargin) End initialization code - DO NOT EDIT
parseStateLabel( stateLabel ) parseStateLabel Interprets a state label string into the state parameters
plotPsi(varargin) plotPsi Displays a 3d plot of a wavefunction
simpleAnimateTransition( init... simpleAnimateTransition Animate a transition between given states
simplePlotPsi( state ) simplePlotPsi Plot a given hydrogen wavefunction
zeroCrossings(y) zeroCrossings Finds the positive and negative zero crossings of a row vector
runme.m
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from Hydrogenic Wavefunction Visulization Tool by Jos Martin
Visualize hydrogenic wave-functions in 3D and watch animations of atomic state changes

Hydrogenic Wavefunction Visulization Tool

Visualize hydrogenic wave-functions in 3D and watch animations of atomic state changes

The code provides base functionality to calculate the wave-functions for hydrogen and visualise those wave-functions using iso-surfaces in 3D. This can be used to explore the spatial nature of the wave-functions. In addition it is easy to calculate something approximating the wave-function of the atom whist undergoing a state transition (to make it easier to understand we assume the Rabi frequency is very slow). Then the wave-function of the atom can be visualised as a function of time whilst a transition is simulated. The transition GUI allows the user to program in any desired transition (even non-electric dipole transitions) and watch the evolution of the wave-function. The animations clearly show why pi-transition emit linearly polarized light and sigma-transitions circular polarized light. Developed in conjunction with Oxford Physics. Many thanks to Dr. David Lucas and Mr. Chris Ballance. The code in this submission was written by Chris Ballance whilst undertaking an internship at The MathWorks.

Highlights from Hydrogenic Wavefunction Visulization Tool

Highlights from
Hydrogenic Wavefunction Visulization Tool