Page 256 - FINAL_HANDBOOK_20252026
P. 256
Faculty of Science Handbook, Academic Session 2025/2026
Transition dipole moment; selection rules, Lorentz transformations. Time dilation,
polarization; Absorption and emission of Length contraction, Doppler shift
photons; Weisskopf-Wigner theory of Minkowski Space, Twin paradox,
spontaneous emission. Spacetime diagrams, lightcones and
Quantum states and distributions: Density causality
operator for mixed and pure states; Mechanics, Invariance, relativistic
Quantization of electromagnetic field and momentum and kinetic energy. Four-
Fock state; Coherent state, squeezed state, vectors
thermal state; Entangled states: Bell's Tensors, metric, energy-momentum
states, GHZ states; Generation of tensor, parallel transport, curvature,
entangled states: PDC and beam splitter; Christoffel symbols
Quasi--probability distributions & Energy-momentum tensor,
Schrodinger cat states. electromagnetic tensor, perfect fluid
Coherence and photon correlations: tensor
Hanbury-Brown-Twiss experiment; Field Derivation of Einstein’s equations,
correlation functions; First and second Cosmological Constant
order coherences; Photon detection and Schwarzschild metric, gravitational
interferometry. dilation, redshift, motion in Schwarzschild
Two-level atom-field interaction: timeline, falling into a Black Hole, Hawking
Semiclassical treatment: Rabi flopping, radiation
Optical Bloch equation, Bloch sphere and Tests of general relativity: precession of
vectors; Full quantum treatment: Jaynes- perihelion of Mercury, deflection of light
Cumming model and exact solutions, by the Sun, gravitational lensing,
collapse and revival; Nuclear magnetic observational black holes, gravitational
resonance and imaging. waves
Quantum Information: Quantum Cosmology, cosmological principle, Weyl’s
information theory and entropy; Quantum postulate, Robertson-Walker metric,
bits and measurements; No-cloning energy-momentum of the Universe
theorem; Quantum cryptography and Friedmann equations, Universe models,
eavesdropping; Quantum teleportation. observables
Big bang, proofs of the Big bang,
Assessment Method: nucleosynthesis, expansion and future of
Summative 60% the Universe.
Assessment:
Continuous 40% Assessment Method:
Assessment: Summative 60%
Assessment:
SIF3021 COSMOLOGY AND GENERAL Continuous 40%
RELATIVITY (3 CREDITS) Assessment:
Frame of reference, postulates of
relativity. Galilean transformations,
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