The Hamiltonian in second quantization

Operators in terms of quantum field operators

Commutators and anticommutators of field operators

Quantum field operators

Problems + Solutions!

Homogeneous first order ordinary differential equations

Differential equation for concentric circles

Separable first order ordinary differential equations

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2-state quantum systems: energy eigenstates

2-state quantum systems: energy eigenvalues

2x2 matrices in terms of Pauli matrices

The Pauli matrices

The hydrogen spectral series

The hydrogen atom energy spectrum

The hydrogen atom ground state

Hydrogen atom: eigenvalues and eigenfuctions

3D isotropic quantum harmonic oscillator: eigenvalues and eigenstates

The quantum virial theorem

Schrödinger vs. Heisenberg pictures of quantum mechanics

Hydrogen atom: power series solution

3D isotropic quantum harmonic oscillator: power series solution

The hydrogen atom

Two interacting quantum particles: relative motion

The spherical harmonics

Degeneracies of the 3D quantum harmonic oscillator

The 3D quantum harmonic oscillator

Eigenvalues and eigenstates in tensor product state spaces

Coherent state wave function || Concepts

Coherent state wave function || Maths