#continuity equation

[fuckyeahfluiddynamics]

Geological evidence shows that millions of years ago, the Mediterranean Sea nearly dried out. (Video and image credits: PBS Eons)

[basictutor]

Fluid Mechanics Lecture |Continuity Equation

What are Continuity equation? Find out in this video.

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[peeterjoot]

PHY1520H Graduate Quantum Mechanics. Lecture 9: Dirac equation (cont.). Taught by Prof. Arun Paramekanti

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Disclaimer

Peeter’s lecture notes from class. These may be incoherent and rough.

These are notes for the UofT course PHY1520, Graduate Quantum Mechanics, taught by Prof. Paramekanti.

Where we left off

\begin{equation}\label{eqn:qmLectur…

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[peeterjoot]

Gauge transformed probability current

Gauge transformed probability current

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Question: Gauge transformed probability current ([1] pr. 2.37 (b))

For the gauge transformed Schrodinger equation

\begin{equation}\label{eqn:gaugeTxCurrent:20} \inv{2m} \BPi(\Bx) \cdot \BPi(\Bx) \psi(\Bx, t) + e \phi(\Bx) \psi(\Bx, t) = i \Hbar \PD{t}{}\psi(\Bx, t), \end{equation}

where

\begin{equation}\label{eqn:gaugeTxCurrent:40} \BPi(\Bx…

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[peeterjoot]

Maxwell's equations review (plus magnetic sources and currents)

Maxwell’s equations review (plus magnetic sources and currents)

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These are notes for the UofT course ECE1229, Advanced Antenna Theory, taught by Prof. Eleftheriades, covering ch. 3 [1] content.

Unlike most of the other classes I have taken, I am not attempting to take comprehensive notes for this class. The class is taught on slides that match the textbook so closely, there is little value to me taking…

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