DVR-jl/calculations/simple_gaussian.jl

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# Simple Gaussian benchmark, with units
# Expected 2-body bound state: E₂ ≈ -1.00 MeV
include("../Hamiltonian.jl")
mode = cpu_tensor
T = Float32 # single-precision mode
V_0 = -38.4671 # MeV
r_0 = 2 # fm
V_benchmark(r2) = V_0 * exp(r2 / r_0^2)
m_N = 939.565 # MeV/c²
ħ = 197.327 # MeV·fm/c
μ = (m_N / 2) / ħ^2
ϕ = 0
d = 3
n = 2
N = 80
L = 40 # fm
n_imag = 1
s = system{T}(d, n, N, L, μ)
H = Hamiltonian{T}(s, V_benchmark, ϕ, n_imag, mode)
@time evals, _, info = eig(H, 3, resonances = false)
sort!(evals)
display(evals[1:3])
# Result = -1.001821 MeV