Advanced Quantum Theory - NTMF002
Title: Pokročilá kvantová teorie
Guaranteed by: Institute of Physics of Charles University (32-FUUK)
Faculty: Faculty of Mathematics and Physics
Actual: from 2011
Semester: winter
E-Credits: 6
Hours per week, examination: winter s.:3/1, C+Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: Czech
Teaching methods: full-time
Teaching methods: full-time
Guarantor: doc. Mgr. František Šanda, Ph.D.
Classification: Physics > Theoretical and Math. Physics
Interchangeability : NBCM067
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Annotation -
Last update: T_FUUK (22.05.2004)
Quantum theory of light and interaction with matter, introduction to kinetic phenomena.
Aim of the course -
Last update: SANDA/MFF.CUNI.CZ (07.05.2008)

Introduces to quntum theory of interaction of light and matter as much as usefuful for students of biophysics.

Course completion requirements - Czech
Last update: doc. RNDr. Karel Houfek, Ph.D. (11.06.2019)

Udělení zápočtu a ústní zkouška

Literature - Czech
Last update: doc. Mgr. František Šanda, Ph.D. (12.06.2019)

V.Čápek: Kvantová teorie světla a koherence (skripta, 1.díl)

P.Lipavský: Kvantová teorie světla (zkušební text, 1.díl)

F.Šanda: Nerovnovážná statistická fyzika (Matfyzpress, 2011).

Teaching methods -
Last update: SANDA/MFF.CUNI.CZ (07.05.2008)

lecture
Requirements to the exam - Czech
Last update: doc. RNDr. Karel Houfek, Ph.D. (11.06.2019)

Zkouška je ústní, požadavky odpovídají sylabu, v detailech pak tomu, co bylo během semestru odpřednášeno.

Syllabus -
Last update: T_FUUK (14.01.2008)
Quantization of electromagnetic field.
Vector and scalar potentials, Coulomb and Lorentz gauge, longitudinal and transversal polarization, Second quantisation of free fields, Fock space, eigenstates, standing and traveling waves, coherent states, squeezed vacuum, thermal states, Creation and annhilation operators,Consequences of quantisation: Heisenberg uncertainty relations, phase operators, vacuum oscillationsů Quantization of particles and electromagnetic field, and field-matter interacion. Electric dipole approximation. Quantum state lifetimes. Golden rule. Selection rules

Introduction to kinetics.
Density matrix and reduced density matrix , Wigner distribution function; Boltzman equation, Master equations. Stochastic dynamics, Spin-boson model

Quantum optics of the two-level system.
Absorption, induced and spontaneous emission, Einstein coefficients, resonant fluorescence. Spectral lines: shapes and width.