STEMabilities

Importance of Hermitian operators

Uncertainty principle for position and momentum

Unitary operators and time evolution of a system

Review of Classical Field Theory part 1

Review of Classical Field Theory part 2

Noether's theorem

Example of complex scalar field & more on Noether's theorem

Symmetry with respect to coordinate and field transformation

Energy momentum tensor, orbital angular momentum, intrinsic angular momentum

Derivation of important properties of the infinitesimal Lorentz transformation

Quantization of a Classical Field part 2

Derivation of the spectrum of the Hamiltonian

Annihilation and creation operators to determine the spectrum of the Hamiltonian

Ground state and construction of states with a certain number of quanta

Definition of the number operator

Causality of space-like events part 1

Causality of space-like events part 2

Causality of space-like events part 3, an important property of Dirac delta

Causality of space-like events part 4

Green function of the Klein Gordon field part 1

Green function of the Klein Gordon field part 2

Vacuum expectation, Propagator, Time Ordering

Complex Klein Gordon field

Interacting Classical Field Theory part 2

Heisenberg's picture and Schrodinger's picture

Interaction picture

Interacting field theory part 1

Interacting field theory part 2

Interacting Field theory, S matrix

Rewriting time ordering in the S matrix part 1, proof of Hausdorff formula

Rewriting time ordering in the S matrix part 2

Relation between Normal and Time ordered products

Wick's theorem

Scattering cross section part 1

Scattering cross section part 2

Scattering cross section part 3

LSZ formula part 1

LSZ formula part 2

LSZ formula part 3

LSZ formula part 4

LSZ formula part 5

LSZ formula part 6

LSZ formula part 7

Quantization of the E.M. field part 1

Quantization of the E.M. field part 2

Quantization of the E.M. field part 3

Quantization of the E.M. field part 4

Quantization of the E.M. field part 5

Quantization of the E.M. field part 6

Intrinsic Angular Momentum in QM (spin) part 1

Intrinsic Angular Momentum in QM (spin) part 2

Pauli matrices, spinors

Unitary operators, Lorentz transformations, angular momenta in QFT part 1

Unitary operators, Lorentz transformations, angular momenta in QFT part 2

Unitary operators, Lorentz transformations, angular momenta in QFT part 3

Unitary operators, Lorentz transformations, angular momenta in QFT part 4

Commutator between a scalar field and angular momentum

Commutator between a vector field and angular momentum

Spinors in 4 dimensions part 2

Spinors in 4 dimensions part 3

Invariant quantities and Fermion fields

92Derivation of the Dirac equation

Hamiltonian density and conserved quantities for the Dirac field

Construction of solutions of the Dirac equation part 1

Construction of solutions of the Dirac equation part 2

Quantization of the Fermion field

Important properties of the Fermion field part 1

Important properties of the Fermion field part 2, charge operator

Parity operator

Spin of the Dirac field part 1

Spin of the Dirac field part 2

S matrix elements, interacting particles, diagrams

Amplitudes and diagrams of processes

Why 1st order terms in the S matrix do not give contribution

Calculation of amplitudes of 2nd order processes

Feynman Rules part 1

Feynman Rules part 2

Fermion propagator derivation 2 part 1

Fermion propagator derivation 2 part 2

Derivation of the photon propagator

Boson propagator derived from the vacuum expectation

Compton's Scattering cross section part 1

Compton's Scattering cross section part 2

Compton's Scattering cross section part 3

Compton's Scattering cross section part 4

Compton's Scattering cross section part 5

Compton's Scattering cross section part 6

Compton's Scattering cross section part 7

Compton's Scattering cross section part 8

Compton's Scattering cross section part 9

Higher order Feynman diagrams, vertex correction part 1

Vertex correction part 2

Vertex correction part 3

Landè g factor obtained through vertex correction

Vertex correction of a higher order process part 1

Vertex correction of a higher order process part 2

Vertex correction of a higher order process part 3

Vertex correction of a higher order process part 4, Wick rotation

Vertex correction of a higher order process part 5, Landè g factor

Electron self-energy part 1

Electron self-energy part 2