Introduction to Quantum Mechanics
1.Why Quantum Mechanics?
2.The Double Slit Experiment
3.Wave function and Probabilities
4.Momentum and Planck's constant
5.Schrödinger's Equation
6.The Hilbert Space
7.Hermitian Operators
8.The Spectrum of a Hermitian Operator
9.Postulates of Quantum Mechanics
10.Commutators and Uncertainty Principle
11.Energy Revisited
12.Stationary states
13.Case Study: The Free Particle
14.Two-particle systems
15.Simple Harmonic Oscillator
16.The Continuity Equation
17.Scattering Problems
18.Tunnelling
19.Momentum-space Wave function
20.Ehrenfest's Theorem
21.Bibliography
Introduction to Quantum Mechanics
a Schrödinger approach in one dimension
Lecture notes for the 2024-2025 Mathematical Physics II module at Durham University.
by Kasper Peeters (based on notes by Mathew Bullimore)
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