The hydrogen atom
📚 The hydrogen atom is an iconic system in both physics and chemistry. Hydrogen, formed of a single proton and a single electron, is the simplest and most abundant of all elements. Furthermore, the eigenvalue equation of the Hamiltonian of the hydrogen atom is one of a few select systems that we can fully solve analytically in quantum mechanics. As such, it informs our understanding of more complex systems such as other heavier elements. In this video, we introduce the hydrogen atom and write down the Hamiltonian describing the relative motion of the proton and electron, the starting point for the quantum mechanical study of hydrogen.
0:00 Intro
1:07 A proton and an electron
6:34 Hamiltonian of the hydrogen atom
8:28 Relative motion of proton and electron
17:54 Wrap-up
🐦 Follow me on Twitter: / profmscience
⏮️ BACKGROUND
Two interacting quantum particles: • Two interacting quantum particles: relativ...
⏭️ WHAT NEXT?
Hydrogen atom | Maths: • Hydrogen atom: power series solution
Hydrogen atom | Eigenvalues and eigenstates: • Hydrogen atom: eigenvalues and eigenfuctions
Hydrogen atom | Ground state: • The hydrogen atom ground state
Hydrogen atom | Energy spectrum: • The hydrogen atom energy spectrum
Hydrogen atom | Spectral series: • The hydrogen spectral series
~
Director and writer: BM
Producer and designer: MC