Relativistic Mechanics Homework Solutions

rbwang1225
Messages
112
Reaction score
0

Homework Statement


http://picasaweb.google.com/RBWang1225/DropBox?pli=1&gsessionid=ZEGTyKIL2-jRa6hnTPGfxg#5432828568883584962

http://picasaweb.google.com/RBWang1225/TheClassicalTheoryOfFileds#5432828592785160466

Homework Equations


http://picasaweb.google.com/RBWang1225/TheClassicalTheoryOfFileds#5432830645032272914

The Attempt at a Solution


Can solve the eq. (2) directly? I have tried, but failed.
 
Last edited by a moderator:
Physics news on Phys.org
rbwang1225 said:
Can solve the eq. (2) directly? I have tried, but failed.

It's difficult to read scanned images like this. Next time, please just make the effort to type out the relavant information yourself.

Anyways, are you referring to the equation, \mathcal{E}^2(1-V^2\cos^2\theta)-2\mathcal{E}\mathcal{E}_0\sqrt{1-V^2}+\mathcal{E}_0^2(1-V^2)+V^2m^2\cos^2\theta=0[/itex] ?<br /> <br /> If so, just use the quadratic formula and <b>post your work</b> if you get stuck.
 

Thread 'Please tell me where I am going wrong in this integral'

##|\Psi|^2=\frac{1}{\sqrt{\pi b^2}}\exp(\frac{-(x-x_0)^2}{b^2}).## ##\braket{x}=\frac{1}{\sqrt{\pi b^2}}\int_{-\infty}^{\infty}dx\,x\exp(-\frac{(x-x_0)^2}{b^2}).## ##y=x-x_0 \quad x=y+x_0 \quad dy=dx.## The boundaries remain infinite, I believe. ##\frac{1}{\sqrt{\pi b^2}}\int_{-\infty}^{\infty}dy(y+x_0)\exp(\frac{-y^2}{b^2}).## ##\frac{2}{\sqrt{\pi b^2}}\int_0^{\infty}dy\,y\exp(\frac{-y^2}{b^2})+\frac{2x_0}{\sqrt{\pi b^2}}\int_0^{\infty}dy\,\exp(-\frac{y^2}{b^2}).## I then resolved the two...
View full post »

Thread 'Direction of the magnetic field of an oscillating charge'

Hello everyone, I’m considering a point charge q that oscillates harmonically about the origin along the z-axis, e.g. $$z_{q}(t)= A\sin(wt)$$ In a strongly simplified / quasi-instantaneous approximation I ignore retardation and take the electric field at the position ##r=(x,y,z)## simply to be the “Coulomb field at the charge’s instantaneous position”: $$E(r,t)=\frac{q}{4\pi\varepsilon_{0}}\frac{r-r_{q}(t)}{||r-r_{q}(t)||^{3}}$$ with $$r_{q}(t)=(0,0,z_{q}(t))$$ (I’m aware this isn’t...
View full post »

Thread 'Initial conditions for orbits around a wormhole'

Hi, I had an exam and I completely messed up a problem. Especially one part which was necessary for the rest of the problem. Basically, I have a wormhole metric: $$(ds)^2 = -(dt)^2 + (dr)^2 + (r^2 + b^2)( (d\theta)^2 + sin^2 \theta (d\phi)^2 )$$ Where ##b=1## with an orbit only in the equatorial plane. We also know from the question that the orbit must satisfy this relationship: $$\varepsilon = \frac{1}{2} (\frac{dr}{d\tau})^2 + V_{eff}(r)$$ Ultimately, I was tasked to find the initial...
View full post »

Similar threads

Adding Resistors: How to Calculate Total Resistance
Replies
4
Views
2K
  • Poll Poll
Finding the area between curves
Replies
2
Views
2K
Two particles collide, COM frame, relativistic velocities.
Replies
1
Views
1K
Kinematic Equations, solving a quadratic gives two solutions?
Replies
5
Views
11K
Classical Mechanics Problem: Particle in a Square Potential Well
Replies
11
Views
2K
Calculating the mass of the neutrino for a relativistic case
Replies
8
Views
1K
Invariance of Energy Momentum Relativistic
Replies
16
Views
3K
How to Determine Equivalent Capacitance in a Complex Circuit?
Replies
1
Views
2K
Difficuilt and/or interesting problems in fluid mechanics
Replies
4
Views
3K
Tree-level diagram Moller scattering
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top