Poslední úprava: doc. RNDr. Karel Houfek, Ph.D. (14.05.2021)
Hamiltonovský formalismus v teorii pole, 3+1 rozštěpení. Kvantování v zakřiveném prostoročasu, fockovská báze,
koherentní stavy, vakuum, normální uspořádání, Bogoljubovova transformace, S-matice, generující funkcionál.
Statické prostoročasy, diagonalizace Hamiltoniánu, termální stavy, Greenovy funkce, analytické vlastnosti a
singulární struktura Greenových funkcí, Wickova rotace. Částice u pohybujících se zrcadel, kosmologická tvorba
částic, Unruhův efekt, detektory částic. Hawkingův efekt, volba módů a vakuového stavu. Termodynamika černých
děr.
Určeno pro studenty M a D programu.
Poslední úprava: doc. RNDr. Karel Houfek, Ph.D. (14.05.2021)
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.
For students of M and D programs.
Literatura -
Poslední úprava: KRTOUS/MFF.CUNI.CZ (19.09.2010)
Wald R. M.: Quantum Field Theory in Curved Spacetime and Black Hole (University Of Chicago Press, Chicago, 1994)
Birrell N. D., Davies P. C. W.: Quantum fields in curved space (Cambridge University Press, Cambridge, 1984)
Mukhanov V., Winitzki S.: Introduction to Quantum Effects in Gravity (Cambridge University Press, Cambridge, 2007)
Parker L., Toms D.: Quantum Field Theory in Curved Spacetime (Cambridge University Press, Cambridge, 2009)
Fulling S. A.: Aspects of Quantum Field Theory in Curved Spacetime Thermodynamics (Cambridge University Press, Cambridge, 1989)
Frolov V., Novikov I.: Black Hole Physics - Basic Concepts and New Developments (Kluwer Academic Publisher, Dordrecht, 1998)
Fabbri A., Navarro-Salas J.: Modeling Black Hole Evaporation (Imperiál College Press, London, 2005)
Jacobson T.: Introduction to Quantum Fields in Curved Spacetime and the Hawking Effect, arXiv: gr-qc/0208048 (2002)
Dewitt B. S.: Quantum Field Theory In Curved Space-Time, Phys. Rept. 19, 295 (1975)
Poslední úprava: KRTOUS/MFF.CUNI.CZ (19.09.2010)
Wald R. M.: Quantum Field Theory in Curved Spacetime and Black Hole (University Of Chicago Press, Chicago, 1994)
Birrell N. D., Davies P. C. W.: Quantum fields in curved space (Cambridge University Press, Cambridge, 1984)
Mukhanov V., Winitzki S.: Introduction to Quantum Effects in Gravity (Cambridge University Press, Cambridge, 2007)
Parker L., Toms D.: Quantum Field Theory in Curved Spacetime (Cambridge University Press, Cambridge, 2009)
Fulling S. A.: Aspects of Quantum Field Theory in Curved Spacetime Thermodynamics (Cambridge University Press, Cambridge, 1989)
Frolov V., Novikov I.: Black Hole Physics - Basic Concepts and New Developments (Kluwer Academic Publisher, Dordrecht, 1998)
Fabbri A., Navarro-Salas J.: Modeling Black Hole Evaporation (Imperiál College Press, London, 2005)
Jacobson T.: Introduction to Quantum Fields in Curved Spacetime and the Hawking Effect, arXiv: gr-qc/0208048 (2002)
Dewitt B. S.: Quantum Field Theory In Curved Space-Time, Phys. Rept. 19, 295 (1975)
