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Contents

• V Full version
• 0 Introduction
• 0.1 Light quanta
• 0.2 Bohr model of the atom
• 0.3 Matter waves
• 1 Wavefunctions and the Schrodinger equation
• 1.1 Particle state and probability
• 1.2 Operators
• 1.3 Time evolution of wavefunctions
• 2 Some examples in one dimension
• 2.1 Introduction
• 2.2 Infinite well –- particle in a box
• 2.3 Parity
• 2.4 Potential well
• 2.5 The harmonic oscillator
• 3 Expectation and uncertainty
• 3.1 Inner products and expectation values
• 3.2 Ehrenfest's theorem
• 3.3 Heisenberg's uncertainty principle
• 4 More results in one dimensions
• 4.1 Gaussian wavepackets
• 4.2 Scattering
• 4.3 Potential step
• 4.4 Potential barrier
• 4.5 General features of stationary states
• 5 Axioms for quantum mechanics
• 5.1 States and observables
• 5.2 Measurements
• 5.3 Evolution in time
• 5.4 Discrete and continuous spectra
• 5.5 Degeneracy and simultaneous measurements
• 6 Quantum mechanics in three dimensions
• 6.1 Introduction
• 6.2 Separable eigenstate solutions
• 6.3 Angular momentum
• 6.4 Joint eigenstates for a spherically symmetric potential
• 7 The hydrogen atom
• 7.1 Introduction
• 7.2 General solution
• 7.3 Comments