Professor M does Science

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Hello, science enthusiast! This is Professor M does Science, where university level quantum mechanics is made simple(r). One M is a faculty member at the Uni...

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The Heisenberg picture in second quantization

The Hamiltonian in terms of quantum field operators

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

Channel update launching maths videos!

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