A package for the computation, analysis and visualisation of spectra and states of quantum billiards. The package is a work in progress.

The folowing methods have been fully or partialy implemented:

• Scaling method
• Decomposition method
• Particular solutions method

Solvers:

• Boundary integral method
• Vebles accelerated method
• Gague Freedom method

Basis sets:

• Fourier Bessel functions (symmetrized)
• Fundamnetal basis Hankel functions

Billiards:

• Mushroom
• Squash
• Cut circle
• Limacon
• Squrcle
• Circle
• Rectangle
• Barrier
• Isospectral polygons
• Rough billiards
• Annular
• Track billiards

New features:

• Wigner functions
• time evolution
• classical billiards
• new symmetry clases (rotational symmetry)
• neutrino billiards
• optical cavities
• scattering solutions
• add arbitrary precision features

Documentation:

• all of it

Fixes and improvements

• improve wavefunction computation for large memory
• add type conversions
• separate plotting to separate package
• make unit tests
• fix bugs in symmetrized plots
• add more samplers
• fix integration weights for nonlinear boundary functions

• Bessels
• CircularArrays
• CoordinateTransformations
• Distributions
• FFTW
• FastGaussQuadrature
• ForwardDiff
• IntervalArithmetic
• LinearAlgebra
• Makie
• Optim
• Random
• Rotations
• StaticArrays
• TimerOutputs