30 lines
1.1 KiB
Python
30 lines
1.1 KiB
Python
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"""Tests for piab.py"""
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from sympy.core.numbers import pi
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from sympy.core.singleton import S
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from sympy.core.symbol import symbols
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from sympy.functions.elementary.miscellaneous import sqrt
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from sympy.functions.elementary.trigonometric import sin
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from sympy.sets.sets import Interval
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from sympy.functions.special.tensor_functions import KroneckerDelta
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from sympy.physics.quantum import L2, qapply, hbar, represent
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from sympy.physics.quantum.piab import PIABHamiltonian, PIABKet, PIABBra, m, L
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i, j, n, x = symbols('i j n x')
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def test_H():
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assert PIABHamiltonian('H').hilbert_space == \
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L2(Interval(S.NegativeInfinity, S.Infinity))
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assert qapply(PIABHamiltonian('H')*PIABKet(n)) == \
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(n**2*pi**2*hbar**2)/(2*m*L**2)*PIABKet(n)
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def test_states():
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assert PIABKet(n).dual_class() == PIABBra
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assert PIABKet(n).hilbert_space == \
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L2(Interval(S.NegativeInfinity, S.Infinity))
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assert represent(PIABKet(n)) == sqrt(2/L)*sin(n*pi*x/L)
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assert (PIABBra(i)*PIABKet(j)).doit() == KroneckerDelta(i, j)
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assert PIABBra(n).dual_class() == PIABKet
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