Sumários

Quantization of scalar fields

15 Maio 2024, 15:30 • Luís Bento

Quantization of free complex and real scalar fields. Commutation relations for creation and annhilation operators, scalar fields, Hamiltonean, Linear Momentum and Charge operators.

Fock space, particle and anti-particle states. Internal product, identity partition. Boson and fermion symmetries.

Quantization of scalar fields

15 Maio 2024, 12:00 • Luís Bento

Quantization of free complex and real scalar fields. Exercise about commutation relations for creation and annhilation operators and a real scalar field.

Quantization of a complex scalar field

9 Maio 2024, 09:30 • Luís Bento

Exercises about two degenerate harmonic oscillators system.
Quantization of a free complex scalar field. Discretization and description as an infinite number of harmonic oscillators. Hamiltonean, linear momentum and U(1) charge. Particle and anti-particle creation operators.
Expression in the infinite volume continuum limit.

Harmonic oscillator

8 Maio 2024, 15:30 • Luís Bento

Quantization of a single harmonic oscillator and of two degenerate harmonic oscillators. Hamiltonean and U(1) charge.

Energy-momentum tensor

8 Maio 2024, 12:00 • Luís Bento

General procedure for the symmetrization of the energy-momentum tensor and Lorentz group current density tensor. Comparison of conserved quantities with the canonical expressions. Free fermion case.