Problem Set 00 - UCSD Department of Physics
... It will help to keep in mind that the goal here is not to impress, but to convey what it
is you need to learn.
(a) The loop expansion in QFT perturbation theory is an expansion in powers of ~.
(b) In quantum Maxwell theory (i.e. QED without the electrons), the electric field is
canonically conjugate ...
Chemistry 681 Introduction to Quantum
... 2. Rules and tools of QM
• Schrödinger equation and wavefunction.
• Operators and measurements.
• Postulates of QM.
3. Two-level system
4. One-dimensional systems
• Qualitative analysis of 1D systems.
• Harmonic oscillator.
• 1D scattering. Barriers and tunneling.
• Particle-on ...
... "It followed from the special theory of
relativity that mass and energy are both but
different manifestations of the same thing -- a
somewhat unfamiliar conception for the average
mind. Furthermore, the equation E is equal to m
c-squared, in which energy is put equal to mass,
multiplied by the squar ...
Key ideas that led to QED vacuum consists of "sea of electrons
... Many symbolic manipulations have to conducted on the integrant such as:
• normal ordering due to the infinitely many charges in the Dirac sea;
• mass renormalization due to the ultraviolet/infrared divergence of the photon field;
• charge renormalization, again due to the infinitely many charges in ...
... Theory should not have coupling constant with
–Ve mass dimensions.
... Lectures on Quantum Field Theory by Ashok
Advanced Quantum Mechanics by Schwabl
Scalar field theory
In theoretical physics, scalar field theory can refer to a classical or quantum theory of scalar fields. A scalar field is invariant under any Lorentz transformation.The only fundamental scalar quantum field that has been observed in nature is the Higgs field. However, scalar quantum fields feature in the effective field theory descriptions of many physical phenomena. An example is the pion, which is actually a pseudoscalar.Since they do not involve polarization complications, scalar fields are often the easiest to appreciate second quantization through. For this reason, scalar field theories are often used for purposes of introduction of novel concepts and techniques.The signature of the metric employed below is (+, −, −, −).