The physics module

The physics module contains functionality required to solve the problem from physics. There are several submodules of physics for performing activities related to vector physics, classic mechanics, quantum mechanics, optics, and much more.

Hydrogen wave functions

There are two functions under this category. The first one computes the energy of state (n, l) in Hartree atomic units. The other computes the relativistic energy of state (n, l, spin) in Hartree atomic units. The following program demonstrates the use of these functions:

from sympy.physics.hydrogen import E_nl, E_nl_dirac, R_nl
from sympy import var

var("n Z")
var("r Z")
var("n l")
E_nl(n, Z)
E_nl(1)
E_nl(2, 4)

E_nl(n, l)
E_nl_dirac(5, 2) # l should be less than n
E_nl_dirac(2, 1)
E_nl_dirac(3, 2, False)
R_nl(5, 0, r) # z = 1 by default
R_nl(5, 0, r, 1)

Matrices and Pauli algebra

There are several matrices related to physics that are available in physics.matrices module. The following program demonstrates how to...