I have asked many people and searched many sources for the answer to the following question but have yet to reach a satisfactory conclusion.(adsbygoogle = window.adsbygoogle || []).push({});

When solving the hydrogen atom by separation of variables, for the angular equation, you come across the O.D.E.

d^2/(do)^2 (F) = -m^2 * F where o is the polar angle.

This is an easily solvable second order differential equation. The general solution is F(o) =A*e^imo + B*e^-imo where A and B are constants.

The problem is all the textbooks I've looked at only have the first term and just say m can positive or negative. This is fine, but why can't it be a linear combination of the two? Why must it only be one term? I've looked at the boundary conditions and have found no reason. If we allow for a combination of terms, it changes the wavefunction so that must be wrong. But where's the problem? Thanks.

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Sloving the Hydrogen Atom

Loading...

Similar Threads for Sloving Hydrogen Atom | Date |
---|---|

I Probabilities Associated with Sudden Changes in Potential | Sunday at 10:27 PM |

B What does the 'space' inside an atom consist of? | Sunday at 2:52 PM |

I Use the Dirac Equation to calculate transition frequencies in Hydrogen | Mar 6, 2018 |

I Quantum field theory and the hydrogen atom | Dec 18, 2017 |

I How to factorize the hydrogen atom Hamiltonian? | Dec 8, 2017 |

**Physics Forums - The Fusion of Science and Community**