def test_states():
assert PIABKet(n).dual_class() == PIABBra
assert PIABKet(n).hilbert_space ==\
L2(Interval(S.NegativeInfinity,S.Infinity))
assert represent(PIABKet(n)) == sqrt(2 / L) * sin(n * pi * x / L)
assert (PIABBra(i) * PIABKet(j)).doit() == KroneckerDelta(i, j)
assert PIABBra(n).dual_class() == PIABKet
def test_H():
assert PIABHamiltonian("H").hilbert_space == L2(
Interval(S.NegativeInfinity, S.Infinity)
)
assert qapply(PIABHamiltonian("H") * PIABKet(n)) == (
n ** 2 * pi ** 2 * hbar ** 2
) / (2 * m * L ** 2) * PIABKet(n)
def test_sympy__physics__quantum__piab__PIABKet():
from sympy.physics.quantum.piab import PIABKet
assert _test_args(PIABKet('K'))
def test_H():
assert PIABHamiltonian('H').hilbert_space ==\
L2(Interval(S.NegativeInfinity,S.Infinity))
assert apply_operators(PIABHamiltonian('H')*PIABKet(n)) ==\
(n**2*pi**2*hbar**2)/(2*m*L**2)*PIABKet(n)