The hydrogen atom ground state
📚 The hydrogen atom is the simplest and most abundant of all elements. In this video, we study a range of properties of the ground state of the hydrogen atom. We explore the energy necessary to dissociate the proton and electron in hydrogen, called the ionization energy; the typical size of a hydrogen atom, called the Bohr radius; and the relative contribution of kinetic and potential energies in hydrogen, which we relate to the virial theorem.
0:00 Intro
1:12 Hydrogen atom basics
4:04 Ground state energy: ionization energy
8:50 Ground state wave function: Bohr radius
22:55 Virial theorem
29:20 Wrap-up
⏮️ BACKGROUND
Hydrogen atom basics: • The hydrogen atom
Hydrogen atom | Maths: • Hydrogen atom: power series solution
Hydrogen atom | Eigenvalues and eigenstates: • Hydrogen atom: eigenvalues and eigenfuctions
Central potentials: • Central potentials in quantum mechanics
Spherical harmonics: • The spherical harmonics
Virial theorem: • The quantum virial theorem
⏭️ WHAT NEXT?
Hydrogen atom | Energy spectrum: • The hydrogen atom energy spectrum
Hydrogen atom | Spectral series: • The hydrogen spectral series
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Director and writer: BM
Producer and designer: MC