Recent content by gasar8

Homework Statement I am trying to show that Majorana vector current vanishes. I am following this article and I am trying to get to the very right hand side of eq. (27). Homework Equations \psi_M^C = \psi_M,\\ \psi^C_M = C \overline{\psi}_M^T,\\ C^T=-C, \hspace{1cm} C^T\gamma_{\mu}C =...

I tried now in another way. By the definition of forms and change of coordinates (the Jacobi matrix) which is for p done also in Goodman. I write Lorentz matrix for boost in x direction, which is\Lambda_{\mu}^{\nu} = \begin{pmatrix} \gamma & \gamma \beta & 0 & 0\\ \gamma \beta & \gamma & 0 &...

Homework Statement I have an assignment to prove that specific intensity over frequency cubed is Lorentz invariant. One of the main tasks there is to prove the invariance of phase space d^3q \ d^3p and I am trying to prove it with symplectic geometry. I am following Jorge V. Jose and Eugene J...

I have an assignment to show that specific intensity over frequency cubed \frac{I}{\nu^3}, is Lorentz invariant and one of the main topics there is to show that the phase space is Lorentz invariant. I did it by following J. Goodman paper, but my professor wants me to show this in another way...

Homework Statement Can someone explain to me what particles (fermions, scalar/vector bosons, gravitons, ...) can have their vacuum expectation values and why? Which components of these fields can have VEV-s? The Attempt at a Solution I am assuming only scalar boson fields have it (like Higgs...

During the fall, I supose it should stay at rest?

Ok, that does not seem right. :) So I must change the momentum conservation also? I am not sure what exactly changes?

Doesn't say anything about that, so I would assume that it is elastic?

Homework Statement We release m_o = 1 kg object from h=1m height. How much does the Earth move (x)? I just need the comfirmation if I did correctly? Homework Equations Conservation of momentum: m_o v_o + m_E v_E = 0 The Attempt at a Solution I wrote the energy conservation law as (beginning...

Homework Statement Show that the surface and volume element on a deformed sphere are \sigma = \frac{\rho^2 \sin \theta}{\cos \gamma} d\phi d\theta, dV = \rho^3 \sin \theta d\phi d\theta, if \gamma is the angle between normal vector and radius vector. Homework Equations n\cdot r = \cos...

V. Rubakov: Classical Theory of Gauge Fields, Problem 4: Find the residual gauge transformations and the general solution of the Maxwell equations in the axial gauge (\vec{\textbf{n}} \cdot \vec{\textbf{A}}=0), where \vec{\textbf{n}} is some fixed unit three-vector, which is constant in...

Hello, I have got a question regarding Wick contractions. At lectures, we wrote that only a_i a_j^{\dagger} contracted gives Kronecker delta \delta_{ij}, other creation anihillation combination of operators gives just 0. But, when we did an exercise, we computed in Fermi sea: \langle...

Ok, thank you very much blue_leaf77 for all your help and patience with me. Today I passed the Introductory quantum mechanic exam, pretty much because of your help at all my posted exercises. I would really like to thank you also for all your time you took for me, because I know how much time I...

Uf, yes, I was wrong, I don't know what was I doing, I edited it now, so its correct. But anyway, what now, when I have to write |S_{1z};1\rangle|S_{2z};-1\rangle for example, there are 9 elements, at |S_{1z};1\rangle|S_{2z};0\rangle there are 6 and at |S_{1z};1\rangle|S_{2z};1\rangle nine...

Do I have to normalize this matrix from my previous post first? Because if I write |S,m_z\rangle =|1,1\rangle = {1 \over 2} |1,S_x=1\rangle + {1 \over 2} |1,S_x=0\rangle + {1 \over 2} |1,S_x=-1\rangle its not? Or am I wrong again?