Matrices#
Known matrices related to physics
- sympy.physics.matrices.mdft(n)[source]#
Deprecated since version 1.9: Use DFT from sympy.matrices.expressions.fourier instead.
To get identical behavior to
mdft(n)
, useDFT(n).as_explicit()
.
- sympy.physics.matrices.mgamma(mu, lower=False)[source]#
Returns a Dirac gamma matrix
in the standard (Dirac) representation.
Explanation
If you want
, use
gamma(mu, True)
.We use a convention:
Examples
>>> from sympy.physics.matrices import mgamma >>> mgamma(1) Matrix([ [ 0, 0, 0, 1], [ 0, 0, 1, 0], [ 0, -1, 0, 0], [-1, 0, 0, 0]])
References
- sympy.physics.matrices.msigma(i)[source]#
Returns a Pauli matrix
with
.
Examples
>>> from sympy.physics.matrices import msigma >>> msigma(1) Matrix([ [0, 1], [1, 0]])
References
- sympy.physics.matrices.pat_matrix(m, dx, dy, dz)[source]#
Returns the Parallel Axis Theorem matrix to translate the inertia matrix a distance of
for a body of mass m.
Examples
To translate a body having a mass of 2 units a distance of 1 unit along the
-axis we get:
>>> from sympy.physics.matrices import pat_matrix >>> pat_matrix(2, 1, 0, 0) Matrix([ [0, 0, 0], [0, 2, 0], [0, 0, 2]])