Introduction

Quantum mechanics is a fundamental theory in physics that describes the behavior of nature at and below the scale of atoms. It is the foundation of all quantum physics, including quantum chemistry, quantum field theory, quantum technology, and quantum information theory. It is different from classical physics, as at the scale of atoms and electrons, many of the equations of classical mechanics cease to be useful, and objects exist in a haze of probability.
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Contents

Quantization

Particle Nature of Light
Quantization

Wave Formulation

Quantum Waves
Time Independent Schrödinger’s Equation
The Heisenberg Microscope
Time Dependent Schrödinger’s Equation
Measurement

Formalism: Quantum State Space

Quantum State Space
Operators and Observables
Uncertainty
Angular Momentum
Spin
The Harmonic Oscillator

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Categorical Quantum Mechanics

Other Resources

Acknowledgement

This part is mainly based on the ANU course PHYS2013 in 2024.

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