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Quantum Mechanics · Part 3
203 KB7 sections4 key equationsLaTeX typeset
Table of Contents
- 1.Time-Independent Schrödinger Equation
- 2.General Solutions
- 3.Time Evolution
- 4.Wave Packets
- 5.Group and Phase Velocity
- 6.Dispersion
- 7.Key Properties
Key Equations
$$-\frac{\hbar^2}{2m}\frac{d^2\psi}{dx^2} = E\psi$$
$$\psi(x) = Ae^{ikx} + Be^{-ikx} \quad \text{(plane waves)}$$
$$\Psi(x,t) = Ae^{i(kx - \omega t)} + Be^{-i(kx + \omega t)}$$
$$v_{\text{phase}} = \frac{\omega}{k} = \frac{\hbar k}{2m}$$
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 ...
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