Recent content by Gregg

I think my questions should be: How does isospin, I, affect the symmetry of the ## \Psi_{\text{flavor}} ## wavefunction? Spins of like quarks have to be in the S=1 state by symmetry, and for J=3/2 the spins have to be parallel. Doesn't a mix of anti-symmetric states in the spin and flavor...

Yes that was what I was attempting to get at, the color wavefunction is antisymmetric, assuming we are in l=0 we have the space wavefunction symmetric and now I am looking at the product of the spin and flavor which I require to be together symmetric and to see how many particles there are, but...

yes I forgot and the other, symm. ## \frac{1}{\sqrt{2}} \left( | \uparrow \downarrow \rangle + | \downarrow \uparrow \rangle \right) ## ... I don't really know how to ask this question very well, but, it is how spin and color wave-functions are related to whether or not it is symmetric or not...

If two quarks are in a S=1 state, are they in either ##|\uparrow \uparrow \rangle ## or ## |\downarrow \downarrow \rangle ## ?

Thanks for the help

OK, so would a way to look at that operation be: ##I_- |\pi N; \frac{3}{2},\frac{3}{2}\rangle = I_- |\pi ;1,1\rangle \otimes | N; \frac{1}{2},\frac{1}{2}\rangle + |\pi ;1,1\rangle \otimes I_-| N; \frac{1}{2},\frac{1}{2}\rangle## ? Which will give me ## k_1 |\pi^0 p \rangle + k_2 |...

Notation confusion; ## |\pi N; I, I_3 \rangle ## states In my book it says for the ##\pi N ## state: ##|\pi N; \frac{3}{2},\frac{3}{2}\rangle =|\pi ;1,1\rangle | N; \frac{1}{2},\frac{1}{2}\rangle## firstly, does this mean: ##|\pi N; \frac{3}{2},\frac{3}{2}\rangle =|\pi ;1,1\rangle...

You have managed to extrapolate an awful lot from the three word post. Obviously it was a bad bump.. I'm sure the members will survive. I just wanted a reason for no reply after 100+ views (i.e. unclear etc.) I have one now. There was no urgency. This used to be a place where I could discuss...

It's very common now that I post something, attempting to be as clear as possible, 100s look at the thread but no-one replies. It didn't used to be like that.

No reply again?

I'm looking at scattering theory and eventually the Born approximation... In the notes I am reading it says we want to solve the Schrödinger equation written in the form: ##\left(\nabla ^2+k^2\right)\psi =V \psi## Of which there are two solutions, the homogeneous solution which tends to...

##F(Y(t))-F(Y(0)) = \sin(Y(t)) - \sin(Y(0)) ## this is the relationship between the RHS and the Ito formula which is given in terms of ## F(b,Y(b) - F(a, T(a)) ## it should read ## F(t, Y(t))-F(0, Y(0)) = \sin(Y(t)) - \sin(Y(0)) ## I am to use the Ito formula to get an expression for the...

I have a question about the functions g and h in the Ito formula (below). The question is about finding ##F(Y(t))-F(Y(0)) = \sin(Y(t)) - \sin(Y(0))## given that ## Y(t) - Y(0) = \int_0^t dW(t)## Ito's formula: ##F(b,Y(b)) - F(b,Y(b)) = \int_a^b \frac{\partial F}{\partial...

Homework Statement Given pulsation period in days, (surface temperature) and mass of an RR Lyra variable star. How do you find luminosity? Homework Equations The relevant equations seem to be for finding the luminosity of Cepheids... there are no equations for Lyrae... Other than, absolute...

It is the derivation for characteristic projections in PDEs. First order linear PDE with the form ## a(x,y) u_x + b(x,y) u_y + c(x,y) u = d(x,y) ## ##v \cdot \nabla u + c u = d \Rightarrow |v| \frac{du}{dl} + cu = d ## So I have looked at what you wrote, you have parameterised it so that s is...