So what does M mean?
BTW, Reynolds number measures how viscous the flow is ( from https://www.grc.nasa.gov/www/BGH/reynolds.html).
"The Mach number is the most important parameter in compressible flow analysis. " (from http://nptel.ac.in/courses/112104118/38).
I was just trying to understand...
Homework Statement
Hi,
The below website states the definition of Mach number, which is a quantity that expresses how compressible a fluid is.
https://physics.info/turbulence/
M = sqrt [ ( inertial resistance in the fluid ) / ( compressional resistance in the fluid ) ]
= v / c...
Homework Statement
Hi there,
I was reading a book discussing on the topic of compact Green's function in 2D. However,I have been stuck for a while on some mathematical manipulations depicted below.
Homework EquationsThe Attempt at a Solution
In 2nd box,I guess the author was trying to pull out...
I am just following my lecturer's note and he didn't say when we are going to use s or t-channel.I apologize but I'm really confused since this is my first course in particle physics, and I have no previous knowledge in QED so that a lot of course notes online are too difficult for me...:sorry...
Homework Statement
Hi there,
I am a very beginner in particle physics and now I'm struggling with this question.
Draw the lowest-order Feynman diagrams for e+e- --> W+W- process
Homework EquationsThe Attempt at a Solution
There are 3 answers as follows:
Q1: 1st pic: Why did the gamma and Z...
Since v = U0cos(wt) and using the substitution v = p/ρ0c0 , rearranging we can solve for p. Then I use eq 1.8.4 with the integrand
pv = U0 ^2 cos^2 (ωt) ρ0 c0 .But then the integrand doesn't go like 1/r^2 ,when I integrate over the surface it gives a 4πr^2 term.
In addition, I am not sure on...
Homework Statement
Hi there,
I am a beginner in acoustics and there are severals problems I am currently struggling while I was reading the first chapter of "Theory of Vortex Sound" (available on Google books).
Homework Equations
For Q4[/B]:
The Attempt at a Solution
For Q2 and 3, as...
Thanks I got the first part of red box:smile:. For the remaining part, I need to show that the Hamiltonian is degenerate. By definition that means E corresponds to more than 1 eigenstate. I am not sure , but from the form of eigenstate | E,m > and the equation H | E,m > = E | E,m > , we see...
1.I don't know what Π_1 is representing , I mean,like position and momentum operator you have Xψ = xψ , Pψ = -ih d/dx ψ ,but here you have got something like ΠXΠ^-1 = -X which is not the usual form of Kψ = kψ. Then what can I do to compute [ H,Π } ?
2.Since L_3 is acting in the z-direction, Π...
Homework Statement
The red box only
Homework EquationsThe Attempt at a Solution
I suppose we have to show
L_3 (Π_1) | E,m> = λ (Π_1) | E,m>
and
H (Π_1) | E,m> = μ (Π_1) | E,m>
And I guess there is something to do with the formula given? But they are in x_1 direction so what did they have...
Homework Statement
Homework EquationsThe Attempt at a Solution
1.1st circle on the left : where did I miss a minus sign?
2. How to show that the last term is equal to 1?
Thanks!
Homework Statement
Homework EquationsThe Attempt at a Solution
It is a short question so I don't suppose it is difficult. However, I don't really understand what it is asking for :
1.The TDSE itself is already a 2nd-order differential equation (if you substitute the terms back into H).
2...