Python simplify_gamma_expression Exemples

Exemple #1

Fichier : test_gamma_matrices.py Projet : msgoff/sympy

def test_gamma_matrix_class():
    i, j, k = tensor_indices("i,j,k", LorentzIndex)

    # define another type of TensorHead to see if exprs are correctly handled:
    A = TensorHead("A", [LorentzIndex])

    t = A(k) * G(i) * G(-i)
    ts = simplify_gamma_expression(t)
    assert _is_tensor_eq(
        ts, Matrix([[4, 0, 0, 0], [0, 4, 0, 0], [0, 0, 4, 0], [0, 0, 0, 4]]) * A(k)
    )

    t = G(i) * A(k) * G(j)
    ts = simplify_gamma_expression(t)
    assert _is_tensor_eq(ts, A(k) * G(i) * G(j))

    execute_gamma_simplify_tests_for_function(simplify_gamma_expression, D=4)

Exemple #2

Fichier : test_gamma_matrices.py Projet : KonstantinTogoi/sympy

def test_gamma_matrix_class():
    i, j, k = tensor_indices('i,j,k', LorentzIndex)

    # define another type of TensorHead to see if exprs are correctly handled:
    A = tensorhead('A', [LorentzIndex], [[1]])

    t = A(k)*G(i)*G(-i)
    ts = simplify_gamma_expression(t)
    assert _is_tensor_eq(ts, Matrix([
        [4, 0, 0, 0],
        [0, 4, 0, 0],
        [0, 0, 4, 0],
        [0, 0, 0, 4]])*A(k))

    t = G(i)*A(k)*G(j)
    ts = simplify_gamma_expression(t)
    assert _is_tensor_eq(ts, A(k)*G(i)*G(j))

    execute_gamma_simplify_tests_for_function(simplify_gamma_expression, D=4)