Aug 20, 2024
20240818
seen from Türkiye
seen from Germany
seen from United States
seen from T1
seen from China
seen from Italy
seen from China
seen from Italy
seen from United States
seen from Russia
seen from Canada
seen from United States
seen from Italy
seen from Azerbaijan
seen from Canada
seen from T1
seen from Yemen
seen from Belarus
seen from Singapore
seen from United States
20240818
PHY2403: QFT I: Momentum of scalar field: time dependent terms?
PHY2403: QFT I: Momentum of scalar field: time dependent terms?
[Click here for a PDF of this post with nicer formatting]
Way back in lecture 8, it was claimed that \begin{equation}\label{eqn:momentum:20} P^k = \int d^3 x \hat{\pi} \partial^k \hat{\phi} = \int \frac{d^3 p}{(2\pi)^3} p^k a_\Bp^\dagger a_\Bp. \end{equation} If I compute this, I get a normal ordered variation of this operator, but also get some time dependent terms. Here’s the computation…
View On WordPress
PHY2403H Quantum Field Theory. Lecture 10: Lorentz boosts, generator of spacetime translation, Lorentz invariant field representation. Taught by Prof. Erich Poppitz
PHY2403H Quantum Field Theory. Lecture 10: Lorentz boosts, generator of spacetime translation, Lorentz invariant field representation. Taught by Prof. Erich Poppitz
[Click here for a PDF of this post with nicer formatting]
DISCLAIMER: Very rough notes from class, with some additional side notes.
These are notes for the UofT course PHY2403H, Quantum Field Theory I, taught by Prof. Erich Poppitz fall 2018.
Lorentz transform symmetries.
From last time, recall that an infinitesimal Lorentz transform has the form \begin{equation}\label{eqn:qftLecture10:20} x^\mu…
View On WordPress
PHY2403H Quantum Field Theory. Lecture 6: Canonical quantization, Simple Harmonic Oscillators, Symmetries. Taught by Prof. Erich Poppitz
PHY2403H Quantum Field Theory. Lecture 6: Canonical quantization, Simple Harmonic Oscillators, Symmetries. Taught by Prof. Erich Poppitz
[Click here for a PDF of this post with nicer formatting]
DISCLAIMER: Very rough notes from class, with some additional side notes (QM SHO review, …).
These are notes for the UofT course PHY2403H, Quantum Field Theory I, taught by Prof. Erich Poppitz fall 2018.
Quantization of Field Theory
We are engaging in the “canonical” or Hamiltonian method of quantization. It is also possible to quantize…
View On WordPress
PHY2403H Quantum Field Theory. Lecture 5: Klein-Gordon equation, Hamilton's equations, SHOs, momentum space representation, raising and lowering operators. Taught by Prof. Erich Poppitz
PHY2403H Quantum Field Theory. Lecture 5: Klein-Gordon equation, Hamilton’s equations, SHOs, momentum space representation, raising and lowering operators. Taught by Prof. Erich Poppitz
[Click here for a PDF of this post with nicer formatting]
Disclaimer DISCLAIMER: Very rough notes from class. Some additional side notes, but otherwise barely edited.
These are notes for the UofT course PHY2403H, Quantum Field Theory I, taught by Prof. Erich Poppitz fall 2018.
Canonical quantization
Last time we introduced a Lagrangian density associated with the Klein-Gordon equation (with a…
View On WordPress