Known matrices related to physics
Returns a Dirac gamma matrix gamma^mu in the standard (Dirac) representation.
If you want gamma_mu, use gamma(mu, True).
We use a convention:
gamma^5 = I * gamma^0 * gamma^1 * gamma^2 * gamma^3 gamma_5 = I * gamma_0 * gamma_1 * gamma_2 * gamma_3 = - gamma^5
See also
Examples
>>> from sympy.physics.matrices import mgamma
>>> mgamma(1)
[ 0, 0, 0, 1]
[ 0, 0, 1, 0]
[ 0, -1, 0, 0]
[-1, 0, 0, 0]
Returns a Pauli matrix sigma_i. i=1,2,3
See also
Examples
>>> from sympy.physics.matrices import msigma
>>> msigma(1)
[0, 1]
[1, 0]
Returns the Parallel Axis Theorem matrix to translate the inertia matrix a distance of (dx, dy, dz) for a body of mass m.
Examples
If the point we want the inertia about is a distance of 2 units of length and 1 unit along the x-axis we get: >>> from sympy.physics.matrices import pat_matrix >>> pat_matrix(2,1,0,0) [0, 0, 0] [0, 2, 0] [0, 0, 2]
In case we want to find the inertia along a vector of (1,1,1): >>> pat_matrix(2,1,1,1) [ 4, -2, -2] [-2, 4, -2] [-2, -2, 4]