How To Solve The Dirac Equation For The Hydrogen Atom | Relativistic Quantum Mechanics @DietterichLabs

Uploaded June 2018 | Updated September 2026, 2 days ago

In this video, I show you how to solve the Dirac Equation for the one electron atom. The process used consists of separation of variables, and then a power series treatment of the radial equation. The angular equation is then solved by constructing simultaneous eigenstates of spin and orbital angular momentum. These are called spinor spherical harmonics.

My Quantum Mechanics Lecture Series:
youtube.com/playlist?list=PLSpklniGdSfSsAFCzO-YWGlJ4TNv8sMdy

There is a typo in the standard spherical harmonics normalization constant. In the second fraction under the square root, the 1's are supposed to be a's.

Superfluid Helium Resonance Experiment video:
youtu.be/unUNQNmuvUQ

Quantum Field Theory Lecture Series:
youtube.com/playlist?list=PLSpklniGdSfSsk7BSZjONcfhRGKNa2uou

Superfluid Helium Resonance Experiment video:
youtu.be/unUNQNmuvUQ

$How To Solve The Dirac Equation For The Hydrogen Atom | Relativistic Quantum Mechanics In this video, I show you how to solve the Dirac Equation for the one electron atom. The process used consists of separation of variables, and then a power series treatment of the radial equation. The angular equation is then solved by constructing simultaneous eigenstates of spin and orbital angular momentum. These are called spinor spherical harmonics. My Quantum Mechanics Lecture Series: https://www.youtube.com/playlist?list=PLSpklniGdSfSsAFCzO-YWGlJ4TNv8sMdy There is a typo in the standard spherical harmonics normalization constant. In the second fraction under the square root, the 1s are supposed to be as. Superfluid Helium Resonance Experiment video: https://youtu.be/unUNQNmuvUQ Quantum Field Theory Lecture Series: https://www.youtube.com/playlist?list=PLSpklniGdSfSsk7BSZjONcfhRGKNa2uou Superfluid Helium Resonance Experiment video: https://youtu.be/unUNQNmuvUQ$

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