@ProfessorMdoesScience
  @ProfessorMdoesScience
Professor M does Science | The hydrogen atom energy spectrum @ProfessorMdoesScience | Uploaded January 2023 | Updated October 2024, 3 hours ago.
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📚 The hydrogen atom is the simplest and most abundant of all elements in the Universe. In this video, we explore the energy eigenvalues of the hydrogen atom. We discuss the principal, azimuthal, and magnetic quantum numbers, as well as the associated eigenvalue degeneracies. We also introduce the concepts of atomic shell and atomic subshell, and describe the widely used spectroscopic notation.

0:00 Intro
4:19 Energy eigenvalues degeneracies
11:22 Hydrogen atom quantum numbers
12:08 Atomic shells and atomic subshells
18:46 Spectroscopic notation
22:02 Wrap-up

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⏮️ BACKGROUND
Hydrogen atom basics: youtu.be/lndTguV0u1g
Hydrogen atom | Maths: youtu.be/8NJm4Jkp0jY
Hydrogen atom | Eigenvalues and eigenstates: youtu.be/T78NkndaMb8
Hydrogen atom | Ground state: youtu.be/r_C82Y6XNWY

⏭️ WHAT NEXT?
Hydrogen atom | Spectral series: youtu.be/XawP16g7dJ8
Hydrogen fine structure: [COMING SOON]
Hydrogen hyperfine structure: [COMING SOON]
Spin 1/2: [COMING SOON]

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Director and writer: BM
Producer and designer: MC
The hydrogen atom energy spectrumOrbital angular momentum eigenfunctionsEigenvalues of the quantum harmonic oscillatorFermion creation and annihilation operatorsCompatible observables in quantum mechanicsDegeneracies of the 3D quantum harmonic oscillatorLadder and number operators of the quantum harmonic oscillatorPure vs. mixed quantum statesProjection operators in quantum mechanicsThe radial equation of central potentialsHomogeneous first order ordinary differential equations2x2 matrices in terms of Pauli matrices

The hydrogen atom energy spectrum @ProfessorMdoesScience

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