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| - Origins of Quantum Mechanics | - Origins of Quantum Mechanics | ||
| - | - Ordered List Item | + | - [[A Brief History of Quantum Mechanics|A Brief History of Quantum Mechanics]] |
| - | - Placeholder | + | - [[Blackbody Radiation|Blackbody Radiation]] |
| - | - Placeholder | + | - [[The Photoelectric Effect|The Photoelectric Effect]] |
| + | - [[The Compton Effect|The Compton Effect]] | ||
| + | - [[de Broglie Matter Waves|de Broglie Matter Waves]] | ||
| + | - [[Wave-Particle Duality|Wave-Particle Duality]] | ||
| + | - [[Probability and Uncertainty in Quantum Mechanics|Probability and Uncertainty in Quantum Mechanics]] | ||
| + | - [[Atomic Transitions and Spectroscopy|Atomic Transitions and Spectroscopy]] | ||
| + | - [[Wave Packets|Wave Packets]] | ||
| + | - [[Module 1 Summary|Summary]] | ||
| + | - Mathematical Tools | ||
| + | - [[Hilbert Space|Hilbert Space]] | ||
| + | - [[Dirac Notation|Dirac Notation]] | ||
| + | - Linear Operators | ||
| + | - [[Basic Properties of Linear Operators|Basic Properties of Linear Operators]] | ||
| + | - [[Adjoints and Hermitian Operators|Adjoints and Hermitian Operators]] | ||
| + | - [[Commutators and Uncertainty Relations|Commutators and Uncertainty Relations]] | ||
| + | - [[Functions, | ||
| + | - [[Eigenvalues and Eigenvectors|Eigenvalues and Eigenvectors]] | ||
| + | - [[Representing Operators in Discrete Bases|Representing Operators in Discrete Bases]] | ||
| + | - [[Fourier Series and Fourier Transforms|Fourier Series and Fourier Transforms]] | ||
| + | - [[Continuous Basis Representations|Continuous Basis Representations]] | ||
| + | - [[Module 2 Summary|Summary]] | ||
| + | - Postulates of Quantum Mechanics | ||
| + | - [[Summary of the Basic Postulates|Summary of the Basic Postulates]] | ||
| + | - [[The State Space of a Quantum System|The State Space of a Quantum System]] | ||
| + | - [[The Schrödinger Equation|The Schrödinger Equation]] | ||
| + | - [[Observables as Operators|Observables as Operators]] | ||
| + | - [[The Infamous Measurement Postulates|The Infamous Measurement Postulates]] | ||
| + | - [[Compatible and Incompatible Observables|Compatible and Incompatible Observables]] | ||
| + | - [[The Heisenberg Picture and Conservation Laws|The Heisenberg Picture and Conservation Laws]] | ||
| + | - [[Solving the Schrödinger Equation for Degenerate Hamiltonians|Solving the Schrödinger Equation for Degenerate Hamiltonians]] | ||
| + | - [[Module 3 Summary|Summary]] | ||
| - One Dimensional Problems | - One Dimensional Problems | ||
| - | - The Free Particle | + | - [[The Free Particle|The Free Particle]] |
| - | - The Infinite Square Well Potential | + | - [[The Infinite Square Well Potential|The Infinite Square Well Potential]] |
| - [[General Considerations|General Considerations]] | - [[General Considerations|General Considerations]] | ||
| - | - The Potential Step | + | - [[The Potential Step|The Potential Step]] |
| - | - The Potential Barrier | + | - [[The Potential Barrier|The Potential Barrier]] |
| - | - The Delta Function Potential | + | - [[The Delta Function Potential|The Delta Function Potential]] |
| - | - The Finite Square Well Potential | + | - [[The Finite Square Well Potential|The Finite Square Well Potential]] |
| - | - The Harmonic Oscillator | + | - [[The Harmonic Oscillator|The Harmonic Oscillator]] |
| - | - Summary | + | - [[Module 4 Summary|Summary]] |
| + | - Angular Momentum | ||
| + | - Three Dimensional Problems | ||
| + | - The Variational Principle | ||
| + | - [[The Variational Principle|The Variational Principle]] | ||