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?
... 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...
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 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...
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...
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...