Quantum Notes

Lecture_1:

Key Features of Quantum Mechanics: Linearity of the Equations of Motion, Complex Numbers are Essential, Loss of Determinism, Quantum Superpositions, Entanglement (PDF)

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Lecture_2:

Experiments with Photons: Mach-Zehder Interferometer, Elitzur-Vaidman Bombs 

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Lecture_3:

Particle Nature of Light and Wave Nature of Matter: Photoelectric Effect, Compton Scattering, Matter Waves (PDF)

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Lecture_4:

de Broglie Wavelength and Galilean Transformations, Phase and Group Velocities, Choosing the Wavefunction for a Free Particle (PDF)

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Lecture_5:

Equations for a Wavefunction, Schrödinger Equation for Particle in a Potential, Interpreting the Wavefunction (PDF)

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Lecture_6:

Normalization and Time Evolution, The Wavefunction as a Probability Amplitude, The Probability Current, Probability Current in 3D and Current Conservation (PDF)

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Lecture_7:

Wavepackets and Uncertainty, Wavepacket Shape Changes, Time Evolution of a Free Wave Packet (PDF)

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Lecture_8:

Uncovering Momentum Space, Expectation Values of Operators, Time Dependence of Expectation Values (PDF)

Observables and Hermitian Operators, Uncertainty (PDF)

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