from __future__ import division
from imports import *
import nhqm.bases.mom_space as mom
from nhqm.problems import He5
import nhqm.calculations.QM as calc
problem = He5.problem
problem.V0 = -70
k_max = 2.5
steps = 20
lowest_energy = sp.empty(steps)
orders = sp.arange(steps) + 1
l = 0
j = .5
for (i, order) in enumerate(orders):
step = k_max / order
H = calc.hamiltonian(mom.H_element, \
args=(step, problem, l, j), order=order)
energy, eigvecs = calc.energies(H)
lowest_energy[i] = energy[0] # MeV
print order
print lowest_energy[-1]
plt.plot(orders, lowest_energy)
plt.title(r"He5, $l = {0}$, $j = {1}$, $V_0 = {2}$MeV".format(l, j, problem.V0))
plt.xlabel(r"Matrix dimension N ($N \times N$)")
plt.ylabel(r"Lowest energy / MeV")
plt.show()
from __future__ import division from imports import * from nhqm.bases import mom_space as mom from nhqm.problems import He5 from nhqm.calculations import QM as calc problem = He5.problem order = 30 l = 1 j = 1.5 problem.V0 = -70. contour = sp.linspace(0, 2.5, order + 1) args = (problem, l, j) H = calc.contour_hamiltonian(mom.H_element_contour, contour, args) eigvals, eigvecs = calc.energies(H) print "Berggren on the real line, lowest energy:", eigvals[0]