using Arpack, SparseArrays
include("ho_basis.jl")
include("p_space.jl")

E_max = 10
ω = 1.0
Λ = 0
m = 1.0

Va = -5
Ra = sqrt(3)
Vb = 2
Rb = sqrt(10)

μ1 = m * 1/2
μ2 = m * 2/3
c1 = 1/sqrt(2)
c2 = sqrt(2)

Es, n1s, l1s, n2s, l2s = get_2p_basis(E_max)
println("Basis size = ", length(Es))

println("Constructing KE matrices")
T1 = sp_T_matrix(n1s, l1s; ω=ω, μ=c1^2 * μ1)
T2 = sp_T_matrix(n2s, l2s; ω=ω, μ=c2^2 * μ2)

println("Constructing PE matrices")
V_l(l, n1, n2) = Va * V_Gaussian(Ra, l, n1, n2; ω=ω) + Vb * V_Gaussian(Rb, l, n1, n2; ω=ω)
V1 = sp_V_matrix(V_l, n1s, l1s)
V_relative = sp_V_matrix(V_l, n1s, l1s) + sp_V_matrix(V_l, n2s, l2s)

println("Performing Moshinsky transform")
@time "Calculating brackets" Moshinsky_mat = Moshinsky_transform(Es, n1s, l1s, n2s, l2s, Λ)
@time "Applying transform" V2 = Moshinsky_mat * V_relative

H = T1 + T2 + V1 + V2

println("Diagonalizing H matrix")
@time "Diagonalizing" evals, _ = eigs(H, nev=5, which=:SM)

display(evals)