Recent content by applestrudle

The zeroth order model gives E0 = Var(y) I've tried two methods: Calculating 1-r^2 and trying to get E1/E0. Calculating E1/E0 and trying to get 1-r^2.

In lectures we were showing Tψ(r) = ψ(Ur) = ΣDij ψ(r) Dij has to be unitary and form a representation of T - I'm just trying to figure out the proof. Are you saying this is only try if you scale the position vector r?

This is what I have so far: I'm trying to show that the matrix D has to be unitary. It is the matrix that transforms the wavefunction.

... why are there more nodes/zeros? If l = 0 then the angular momentum contribution to the effective potential is zero, and there is the coublomb potential only. So shouldn't it always go as ~ -k/r^2 (k = constant) like the n=1 s orbital? Why is it that for n = 2 is there 1 zero, n= 3 there...

..when it is released from rest with velocity (v0, 0) I can get 1.6.5 but I can't get this:

Isn't a vector an rank 1 tensor? So I mean a rank 1 version of this (https://www.google.co.uk/webhp?sourceid=chrome-instant&ion=1&espv=2&ie=UTF-8#q=cartesian%20tensor%20definition) Is a Cartesian vector just a vector with an orthogonal basis that transforms to another orthogonal basis by a...

Does anyone have any examples? It would really help

Does this just mean all proper/polar vectors are always Cartesian vectors? and are proper rotations (determinate +1) ? You can have a Cartesian vector which transforms as a vector under proper rotations but does not transform as a vector under improper rotations (determinant -1). I.e you...

...system, I mean as in the Cartesian Vector/Tensor definition. I get that if you have two mutually orthogonal basises which are theta degrees apart and the transformation from one basis to the other follows the same as a rotation by theta degrees i.e: V'i = Rij Vj then it is a Cartesian...

THANKS! :D

Case 2: I get that D = c I means A must also be proportional to I but how does that mean B must be diagonal? Question: Answers:

Homework Statement Prove in a current carrying wire the magnetic field only has a theta component. Homework Equations ∇ ⋅ B = 0 (dive of magnetic field zero, 2nd Maxwell Eq) ∇ x B = μ J (Ampere's Law, 4th Maxwell Eq) Cylindrical symmetry means B field only dependent on r (distance from z...

Oh? So one electron has 45.6GeV of energy!?

I'm doing an essay on L3 experiment and the LEP collider and the first energy the electrons and positrons had were "45.6GeV/beam". I want to convert this to the amount of energy for one electron/positron and see how much mass a single electron/positron gains. I know 1GeV = 10^9 * 1.6 x 10^-19 J...

I am doing a presentation and want to make sure I'm not misunderstanding something very fundamental. My argument goes like this: t0 = ϒt Santa is moving very fast and from his point of view he is in proper time. This means that if it takes him t0 seconds to deliver a present, the amount of...