FewBodyHamiltonians.jl

Coulomb(i::Int, j::Int, coefficient::Real)

\[+ \frac{a}{r_{ij}}\]

Hamiltonian(operator1, operator2, ...)

\[\hat{H} = \sum_i \hat{o}_i\]

The Hamiltonian is the input for each solver. This is an example for the non-relativistic Hamiltonian of hydrogen atom in atomic units:

\[\hat{H} = - \frac{1}{2} \nabla^2 - \frac{1}{r}\]

H = Hamiltonian(
  NonRelativisticKinetic(ℏ =1 , m = 1),
  CoulombPotential(coefficient = -1),
)

Kinetic(n::Int, ℏ::Real, m::Real)

\[-\frac{\hbar^2}{2m} \nabla^2_{n}\]

KineticTerm <: Operator is an abstract type.

Operator is an abstract type.

PotentialTerm <: Operator is an abstract type.