Advanced Quantum Mechanics
winter 2015/16
Mon, 10.00 - 11.30 | HS III
Tue, 8.20 - 9.50 | HS III
Overview
The lecture will introduce advanced concepts of quantum mechanics, including- second quantization and field theory
- quantum theory of light
- relativistic quantum mechanics (Klein-Gordon and Dirac equation)
- scattering theory (non-relativistic)
- outlook on quantum information theory
Tutorials
Tutorials and homework assignments will start in the first week of the winter term. All tutorials are held on Wednesdays, please check the following overview to find your tutorial group.A special BCGS tutorial will be held Thursdays, 14:00-15:30 in lecture hall HS III.
If you have not managed to sign up for the tutorials in time, please use the following webform to sign up for one of the late-morning tutorials (the tutorial at 8am is filled already) and send an email to Maria Hermanns.
Assignments
- sheet 0: harmonic oscillator, two-particle wavefunction
- sheet 1: density operator for two spin-1/2, commutators and anticommutators
- sheet 2: Fock-space, two spinful fermions, two particles
- sheet 3: tight-binding Hamiltonian, spin operator in second quantization
- sheet 4: Schwinger boson representation, Bose condensate wavefunction, Jordan-Wigner transformation
- sheet 5: fermionic holes, Kitaev chain
- sheet 6: fermionic Bogoliubov transformation, dynamics of field operators
- sheet 7: quantization of the electrodynamic fields, coherent states of the electromagnetic field
- sheet 8: two fermionic states in a photon-cavity, Lorentz transformations, relativistic electrons
- sheet 9: Klein-Gordon equation, real Klein-Gordon field, parity operator of the real Klein-Gordon field
- sheet 10: Dirac fermions, Weyl fermions, Majorana fermions
- sheet 11: quantization of the Dirac equation
- sheet 12: classical scattering from a hard sphere, scattering from a central potential, resonant scattering
- sheet 13: scattering on a spherical potential well, 1/r2 scattering potential
Mailing-List
We have created a mailing list for this lecture, which will be used to send out further information regarding the lectures, exercise classes, and homework assignments.We ask all students to sign up for this mailing list.
Literature
- Franz Schwabl, Advanced Quantum Mechanics (Springer)
Uni-Bibliothek, Studierendenbibliothek Physik - R. Shankar, Principles of Quantum Mechanics (Springer)
Uni-Bibliothek, Studierendenbibliothek Physik - Albert Messiah, Quantum Mechanics Vol. 2 (North Holland)
Uni-Bibliothek, Studierendenbibliothek Physik - J. J. Sakurai, Advanced Quantum Mechanics (Addison-Wesley)
Studierendenbibliothek Physik - Scott Aaronson, Quantum Computing since Democritus (Cambridge University Press, 2013)
Uni-Bibliothek, Studierendenbibliothek Physik - M. Nielsen and I. Chaung, Quantum Computation and Quantum Information (Cambridge University Press)
Uni-Bibliothek, Studierendenbibliothek Physik - N. David Mermin, Quantum Computer Science (Cambridge University Press)
Uni-Bibliothek, Studierendenbibliothek Physik
Further general textbooks
Quantum information textbooks
Written exams
Written exam: Thursday, February 25th, 2016 | 14:30 - 17:30 | HS IPlease keep in mind to sign up via KLIPS no later than Tuesday, February 16th, 2016.
Retry exam: Monday, March 21st, 2016 | 12:00 - 15:00 | HS III
Please keep in mind to sign up via KLIPS no later than Thursday, March 10th, 2016 (even if you participated in the first written exam).