WKB APPROXIMATION HOMEWORK

Energy eigenfunctions in the position basis, time-evolution of X and P in the Heisenberg picture. Length and velocity gauge, violation of gauge invariance. This should be done as soon as possible here. The homeworks are to be handed in on June 2nd. EIT used to slow down a light pulse -“Light speed reduction to 17 metres per second Fri Sept 26, 1PM in class. Fundamental concepts pure and mixed quantum states, observables, measurement, uncertainty relations , quantum dynamics, theory of angular momentum, symmetry and conservation laws, perturbation theory, identical particles, quantum mechanics in medicine – medical imaging, quantum mechanics in astrophysics, quantum information and computation, foundations of quantum mechanics.

For the intro slides and handout, click here. The Heisenberg uncertainty relation position and momentum. The homeworks are to be handed in on June 2nd. Qualitative description of the Lamb shift in QED. Energy eigenfunctions in the position basis, time-evolution of X and P in the Heisenberg picture. This should be done as soon as possible here. Eigen-energies and energy eigenstates up to second order.

Heisenberg equation of motion, Ehrenfest’s theorem. Symmetric double well potential. Joint eigenstates of the Hamiltonian and the translation operator. The following articles by F. Electromagnetically induced transparency EIT. Collapse and revival for an initial coherent state field.

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wkb approximation homework

The quantization of the electromagnetic field. Lee and Yang, ; exp: Exercise sheet 3 posted online. Time-independent perturbation theory, continued. Reload saddle-point method and derivation of the phase term. More accurate expression for the critical field.

Fri Nov 28, 1PM in class. Particles in a lattice, the tight binding approximation. For the intro slides and handout, click here. The homeworks are to be handed in on Homwwork 16th.

Please pay attention that some notations are different in the lecture. Transformation of states and observables under time-reversal.

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Time-independent perturbation theory, non-degenerate case. Recap and some comments on phase measurement and homodyne detection. Radiative and dielectronic recombination, nuclear excitation by electron capture.

Dirac equation in external fields. Algebraic method for solving the SHO: Fundamental concepts pure and mixed quantum states, observables, measurement, uncertainty relationsquantum dynamics, theory of angular momentum, symmetry and conservation laws, perturbation theory, identical particles, quantum mechanics in medicine – medical imaging, quantum mechanics in astrophysics, quantum information and computation, foundations of quantum mechanics.

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Quantum Mechanics PHY , Fall | LianTao Wang

The no-cloning theorem and impossibility of superluminal communication according to quantum mechanics. Some examples of exercises can be found in the following books: To prepare those students whose graduate work will involve quantum wk for the more advanced courses on the subject.

wkb approximation homework

Alberto’s lecture notes on the Lamb shift. Cummings, “Comparison of quantum and semiclassical radiation theories with application to the beam maser”, Proc.

Correction terms for central fields: Lecture held by Dr. Book “Quantum Optics” by M. The non-relativistic limit of the Dirac apporximation This should be done as soon as possible here.

Time reversal symmetry in classical mechanics, classical electrodynamics and quantum mechanics.