Syllabus
Hamiltonian formalism in field theory, 3+1 splitting.
Quantization on a curved background, Fock basis, coherent states, vacuum state, normal ordering, Bogoliubov transformation, S-matrix, generating functional.
Static spacetimes, diagonalization of the Hamiltonian, thermal states, Green functions, their analytical properties and singular structure, Wick rotation.
Moving mirrors, cosmological particle creation, Unruh effect, particle detectors.
Hawking effect, choice of modes and vacuum state.
Theormodynamics of black holes. Quantization in de Sitter spacetime.
Annotation
Hamiltonian formalism in field theory, 3+1 splitting. Quantization on a curved background, Fock basis, coherent states, vacuum state, normal ordering, Bogoliubov transformation, S-matrix, generating functional. Static spacetimes, diagonalization of the Hamiltonian, thermal states, Green functions, their analytical properties and singular structure, Wick rotation. Moving mirrors, cosmological particle creation, Unruh effect, particle detectors.
Hawking effect, choice of modes and vacuum state. Theormodynamics of black holes. Quantization in de Sitter spoacetime.
For students of Mgr and PhD.