Recent content by stumpoman

Homework Statement Show that \left [ A,B \right ]^{\dagger}=-\left [A,B \right ] Homework Equations \left [ A,B \right ] = AB-BA \left (AB \right)^{\dagger}= B^{\dagger}A^{\dagger} The Attempt at a Solution \left [ A,B \right ]^{\dagger}=\left (AB-BA \right )^{\dagger} =\left (AB...

Homework Statement A particle moves with v=constant along the curve $$r = k(1+\cos \theta)$$Find ##\mathbf{a}## Homework Equations $$ \mathbf{r} = r\mathbf{e_r}$$ $$ \mathbf{v} = \frac{\partial}{\partial t}(r\mathbf{e_r}) $$ $$ \mathbf{a} = \frac{\partial \mathbf{v}}{\partial t} $$...

I think I may have solved it. I made a diagram. Using the second portion (E_{\gamma}+m)^{2}-(E_{\gamma})^{2}=(1.01m)^{2} 2E_{\gamma}+m^{2}=1.0201m^{2} E_{\gamma}=0.51005m This seems to make sense but I am not sure if it is correct.

So the momentum before and after is E_gamma? I still have that kinetic energy value that I cannot do anything with.

Homework Statement A nucleus of mass m initially at rest absorbs a gamma ray (photon) and is excited to a higher energy state such that its mass is now 1.01 m. Find the energy of the incoming photon needed to carry out this excitation. Homework Equations m^{2} = E^{2}-P^{2} possibly...

Homework Statement I have a question about notation. My professor posted an older practice test with some different notation techniques than I am used to. "Sphere Charge Find the electric field 2.5 m from the center of a region of space with a charge density given by ro=5.5 E-15 R**(2.3)"...

Does that mean 5(x^2+x+1)(x-1)-4(x-1)|x+1|-x^2(y-2)|y+2|<\epsilon I don't understand.

so you end up with this? |5(x-1)(x^2+x+1)-4(x-1)(x+1)-x^2(y-2)(y+2)|<\epsilon I see that it contains 3 terms with factors less than delta but I must be missing a some concept here.

Homework Statement Prove using the formal definition of a limit that \lim_{(x,y) \to (1,2)} 5x^3-x^2y^2 is equal to 1. Homework Equations \lim_{(x,y) \to (1,2)} 5x^3-x^2y^2\\ \left \| \overline{x}-\overline{a} \right \|< \delta \\ \left | f(\overline{x})-L \right |<\epsilon The...

Homework Statement Assuming that all matrices, A, B, C, and D, are n x n and invertible, solve for D. C^{T}B^{-1}A^{2}BAC^{-1}DA^{-2}B^{T}C^{-2}=C^{T} Homework Equations C^{T}B^{-1}A^{2}BAC^{-1}DA^{-2}B^{T}C^{-2}=C^{T} The Attempt at a Solution I must have missed something in...