# Index [[Adiabatic theorem]] [[Berry phase]] [[Bloch equations]] [[Bloch vector dynamics]] [[Born Approximation for quantum scattering amplitudes]] [displacement operator](displacement%20operator.md) [Dynamical pictures](Dynamical%20pictures) [[dynamics of the quantum harmonic oscillator]] [[Dyson series]] [[Energy of a quantum system (time dependent)]] [[Energy of a two-level system (time dependent)]] [[Equations of motion for closed quantum systems]] [[equations of motion for open quantum systems]] [Equations of motion in quantum mechanics](Equations%20of%20motion%20in%20quantum%20mechanics.md) [Fermi's Golden Rule](Fermi's%20Golden%20Rule) [Hamiltonian operator (time dependent)](Hamiltonian%20operator%20(time%20dependent).md) [[Heisenberg equation of motion]] [[Heisenberg picture]] [[Interaction picture]] [Larmor precession](Larmor%20precession) [[Path integral formulation]] [Quantum Propagator](Quantum%20Propagator.md) [[rotating wave approximation]] [[Schrödinger Equation]] [[Schrödinger picture]] [[semi-classical interaction]] [[time evolution operators]] [[time evolution operators with time dependent Hamiltonians]] [[time-dependent quantum perturbation theory]] [Transition Amplitude](Transition%20Amplitude) [Translation operator in quantum mechanics](Translation%20operator%20in%20quantum%20mechanics.md) [[Two-level system dynamics]] [[The time dependent Schrödinger equation for the quantum harmonic oscillator]] [von Neumann equation](von%20Neumann%20equation) ## Sub-indices [[Physical Examples, Quantum Dynamics (index)]] ## Important mathematical tools [[Baker-Campbell-Hausdorff lemma]] [[Complex matrix exponentials]] --- # Basic concepts ## Unitary Operators in Quantum Mechanics --- # Bibliography Altland A., Simons B., _Condensed Matter Field Theory_ ![](Condensed%20Matter%20Field%20Theory%20(A.%20Altland,%20B.%20Simons).pdf) [Brunner, I., TM1 Quantum Mechanics II, Tutorial 5, Winter 2017-2018](Brunner,%20I.,%20TM1%20Quantum%20Mechanics%20II,%20Tutorial%205,%20Winter%202017-2018.md) Metcalf, H. J., van der Straten P., _Laser cooling and trapping_ ![](%5BGraduate%20texts%20in%20contemporary%20physics%5D%20Harold%20J.%20Metcalf,%20Peter%20van%20der%20Straten%20-%20Laser%20cooling%20and%20trapping%20(1999,%20Springer)%20-%20libgen.lc.pdf) R. P. Feynman, Rev. of Mod. Phys., 20, 367 ![](Space-Time%20Approach%20for%20Non-Relativistic%20QM.pdf) [Peres, A., _Quantum Theory Concepts and Methods_, Kluwer Academic Publishers, 2002](Peres,%20A.,%20Quantum%20Theory%20Concepts%20and%20Methods,%20Kluwer%20Academic%20Publishers,%202002.md) [Sakurai, J. J., Napolitano J., _Modern Quantum Mechanics_, Addison-Wesley, 2nd Edition, 2011](Sakurai,%20J.%20J.,%20Napolitano%20J.,%20Modern%20Quantum%20Mechanics,%20Addison-Wesley,%202nd%20Edition,%202011.md) Schulman L.S., _Techniques and Applications of Path Integration_ ![](L.%20S.%20Schulman%20-%20Techniques%20and%20Applications%20of%20Path%20Integration%20(Dover%20Books%20on%20Physics)%20(2005,%20Dover%20Publications)%20-%20libgen.lc.pdf) [Shankar, R., _Principles of Quantum Mechanics_, Plenum Press, 2nd edition, 1994.](Shankar,%20R.,%20Principles%20of%20Quantum%20Mechanics,%20Plenum%20Press,%202nd%20edition,%201994..md) Zee A. _Quantum Field Theory in a Nutshell_ ![](A.%20Zee%20-%20Quantum%20Field%20Theory%20in%20a%20Nutshell%20(2003,%20Princeton%20University%20Press)%20-%20libgen.lc.pdf) #QuantumMechanics/QuantumDynamics #QuantumMechanics/QuantumDynamics/PathIntegrals #QuantumMechanics/QuantumDynamics/TwoLevelSystems #QuantumMechanics/QuantumDynamics/QuantumHarmonicOscillators #Bibliography #index