Hey guys,
as this is a basic QFT question, I wasn't sure to put it in the relativity or quantum section. Since this question specifically is about manipulating tensor expressions, i figured here would be appropriate.
My question is about equating coefficients in tensor expressions...
Hey guys.
In a project I'm working on, it would be very convienent to express the inverse of this matrix in terms of its size, NxN.
The matrix is
\leftbrace \begin{tabular}{c c c c}
a & b & \ldots & b \\
b & a & \ldots & b \\
b & b & \ddots & b \\
\vdots & vdots & ldots & b \\
b...
Hey guys,
I'm not sure how to interpret euler's fluid equations
\rho (\partial / \partial t + {\bf U} \cdot ∇) {\bf U} + ∇p = 0
I'm not sure what the meaning of {\bf U} \cdot ∇ {\bf U} is.
am I able to simply evaulate the dot product as U_{x}\partial_{x} + U_{y}\partial_{y}+...
an old thread, but I stumbled upon it looking for homework help so I figured I'd contribute anyway.
You must find a normal subgroup to show its not simple.
It seemed more straightforward to apply displacements in the angular directions. To apply a general rotation matrix would be a ton more algebra, no?
I need to use infinitesimal rotations because I am trying to prove a continuous symmetry for noether's theorem
Homework Statement
Show that the free particle lagrangian is invariant to rotations in $$\Re^{3}$$, but I assume this means invariant up to a gauge term.
$$L=m/2 [\dot{R^{2}} + R^{2}\dot{θ^{2}} +R^{2}Sin^{2}(θ)\dot{\phi^{2}}$$
Homework Equations
I consider an aribtrary infinitesimal...
Every physics major knows he needs to take a bunch of math courses. But there are so many offered at my university its making my head spin! I've taken (aside from lower division linear algebra/calculus/DEQ) real analysis and abstract algebra so far, and I've tentatively decided to aim for...