Hydrogen Atom

Quantum Mechanics · Part 4

221 KB10 sections4 key equationsLaTeX typeset
Download PDFRead Online (Free)

Table of Contents

  1. 1.The Coulomb Potential
  2. 2.Radial Equation
  3. 3.Energy Levels
  4. 4.Bohr Radius
  5. 5.Quantum Numbers and Degeneracy
  6. 6.Radial Wave Functions
  7. 7.First Few States
  8. 8.Spectroscopic Notation
  9. 9.Selection Rules
  10. 10.Radial Probability Distribution

Key Equations

$$V(r) = -\frac{e^2}{4\pi\epsilon_0 r} = -\frac{ke^2}{r}$$
$$E_n = -\frac{me^4}{2(4\pi\epsilon_0)^2\hbar^2 n^2} = -\frac{13.6 \text{ eV}}{n^2}$$
$$g_n = \sum_{\ell=0}^{n-1}(2\ell+1) = n^2$$
$$\psi_{200} = \frac{1}{4\sqrt{2\pi a_0^3}}\left(2-\frac{r}{a_0}\right)e^{-r/(2a_0)}$$

Equations are rendered with MathJax in the PDF with professional LaTeX typesetting.

Course Context

This PDF is part of the Quantum Mechanics course on CoursesHub.World. Master quantum mechanics from mathematical foundations to advanced topics. Covers Hilbert spaces, wave functions, angular momentum, perturbation theory, scattering, and path integrals with 450+ pages ...

← Central Potential
Scattering 3d →

Get Instant Access to 461+ PDF Study Guides

Professional LaTeX-typeset PDFs with complete derivations, worked examples, and beautiful equation rendering. Download any PDF, anytime. Cancel anytime.

$5
per month
All courses included
Save 17%
$50
per year
Best value
Subscribe Now
Secure payment via StripeCancel anytimeInstant access