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

E_max = 30
μω_gen = 0.2
Λ = 0
m = 1.0

Va = -2
Ra = 2

μ1 = m * 1/2

println("No of threads = ", Threads.nthreads())

basis = ho_basis_1B(E_max)
println("Basis size = ", basis.dim)

println("Constructing KE matrices")
@time "T1" T1 = get_sp_T_matrix(basis.ns, basis.ls; μω_gen=μω_gen, μ=μ1)

println("Constructing PE matrices")
V1_elem(l, n1, n2) = Va * V_Gaussian(Ra, l, n1, n2; μω_gen=μω_gen)
@time "V1" V1 = get_sp_V_matrix(V1_elem, basis.ns, basis.ls)

println("Calculating spectrum")
@time "H" H = T1 + V1
@time "Eigenvalues" evals, _ = eigs(H, nev=3, ncv=30, which=:SR, maxiter=5000, tol=1e-5, ritzvec=false, check=1)

display(evals)