- 09/01/2007-Quantum mechanics systems; Arbitrary systems; Ladder of states; Operators that differ by a phase and its properties: relationship between vacum states, squeezed states, Bogolubov transformation coefficients, Harmonic Oscillator example, 2 particle states, 2 mode squeezed state; Density matrix; Reduced density matrix: [1]; [2]; [3]; [4]; [All].
- 11/01/2007- Reduced density matrix; Thermal state from 2 particle squeezed state; Scalar field theory in flat spacetime; Lagrangean and Hamiltonian formalism; Fourier modes of Klein-Gordon field; SHO energy; Lorentz frame (INdependence of vacuum state); Accelerated frames (DEpendence on coordinate system of vacuum state) [1]; [2]; [3]; [4]; [All].
- 16/01/2007- ADM formalism; Definitions: current & inner product btw two scalar fields (solutions of KG EOM); Integration of a quantum field (satisfying KG eqn) over a classical solution; Definition of creation/annihilation operators in terms of this integral (operator in the classical field); Positive norm solutions of wave eqn; Hamiltonian diagonalization (matrix notation); # of particles. [1]; [2]; [3]; [All].
- 18/01/2007- Hamiltonian diagonalization (cont.); Application to Cosmology; Vacuum state evolution (into infinite # of particles); Adiabatic definition of a particle; What is a particle?; Homework 1. [1]; [2]; [3]; [4]; [All].
- 23/01/2007- Quantization of flat spacetime; Rindler coordinates; Solution of KG eqn in the Rindler coordinates; Complex analysis of the solution (Analiticity). [1]; [2]; [3]; [4]; [All].
- 25/01/2007- Classical modes for the solution of wave eqn; Normalization of the Rindler modes; Temperature definition; Minkowski vacuum as thermal state when expressed in terms of the Rindler modes. [1]; [2]; [3]; [4]; [All].
- 30/01/2007- What do we mean by a particle?; Harmonic Oscillator detector; Accelerated detectors; Minkowski vacuum as a thermal state: [1]; [2]; [3]; [4]; [All].
- 01/02/2007- Lowest order excitation terms of simple particle detectors; Two-point function; Decay probability; Experiments?: [1]; [2]; [3]; [4]; [All].
- 06/02/2007- What happens when a detector detects an thermal particle?; Rindler observer; Conditional statements in QM (Non-local); Energy conditinal on detection; HW2: [1]; [2]; [3]; [4]; [5]; [All].
- 08/02/2007- Eternal Black Holes: [1]; [2]; [3]; [4]; [All].
- 13/02/2007- Einstein-Rosen bridge; Quantum fields on this background; Angular momentum barrier; Albedo (grey body factors); [1]; [2]; [3]; [4]; [All].
- 15/02/2007- Black Holes formed by collapse; Shell implosion; Squeezed wavepackets; Transplanckian problem; Black hole entropy is real, but what is it?: [1]; [2]; [3]; [4]; [All].
- 15/02/2007-27/02/2007: READING WEEK
- 27/02/2007- Energy-Momentum tensor for BH radiation; Normal order; Point splitting (generalization of normal order); Hadarmard form; Conservation and 0 trace issue; 2d massless scalar field point splitting procedure; HW2 correction: [1]; [2]; [3]; [4]; [5]; [6]; [All].
- 01/03/2007- Point-splitted traceless stress-energy tensor in null coordinates; Vaccum espectation value; 2d BH; Conformal invariance x conservation issue: [1]; [2]; [3]; [4]; [5]; [All].

To follow the path:

look to the master,

follow the master,

walk with the master,

see through the master,

become the master.

Zen Poem