Homework Statement
Cosnider two dipoles, p1 oriented along z at the origin, and p2 oriented along x at a distance r in the
x - y plane. Given that the torque on a dipole in a field E can be written N = p x E, find the torque on each dipole about its centre.
Homework Equations
N=pxE , E=...
A thick spherical shell (inner radius a, outer radius b) is made of dielectric materials with a "frozen-in"polarization
P(r) =k/r rhat;
where k is a constant and r is the distance from the centre. There is no free charge.
Find the electric field E in all three regions by two different...
If A and B are hermitia operators , then prove (A+B)^n is also hermitian.
Justw ondering if this would suffice ?
∫ ψ^*(A+B) ∅ dt= ∫((A+B) ψ)^* ∅ dt assuming (A+B) is hermitian
I can do that again
∫ ψ^*(A+B) ∅ dt= ∫((A+B) ψ)^* ∅ dt
multiply them together
∫((A+B) ψ)^(2*) ∅^2...
Thought I might Bragg about it , but obviously backfired :pJust kidding,
I kind of set this goal , that if I don't have an IQ of 125 or above , I won't be able to contribute anything in physics .. So I might well do some kind of other job like teaching or finance or something ..
For those who , think I am not real ..take a look at the threads I created for the last two years . I doubt a troll would take that much effort to do that ..I might be lying about my location (beacause I didnt want people to recognise me) .But as I said I am a theoretical physicist studying in...
Hi all,
Today I got my mensa test scores back , it was 104 ..Im a 3rd year theoretical physicst in one of the top universities in the US , with a first in my first year and 2nd year . I was planning to do a PHD later , but this test has dented my hopes ..I am quite good at maths , maybe the...
Yes ,thats what I want ..But how do I put into mathematica ?
If just insert what you have written I get
RandomReal::unifr: "The endpoints specified the uniform distribution range are not real valued
I also Tried,
g[s_] := RandomReal[{-Sqrt[s^2 - f[s]^2], +Sqrt[s^2 - f[s]^2]}]...
I need to define two functions for a molecule with speed s.
a)it has a horizontal velocity between -s and s
b) v , the vertical velocity between +Sqrt[s^2-u^2] and -Sqrt[s^2-u^2]
This is what I have done
for a)
f[s_]:=RandomReal[{-s,s}]
for b)...
Ok , Programming and me haven't been the best of friends . It kinds of irritate me , although I can follow the logic of what's going on , I find it very hard to come up with the code , I make a error and find it impossible to correct the error .What I have been learning so far is MAthematica ...
By parameterizing the curve (not by Cauchy's theorem) and using the series of sin z, nd
the value of
∫z^k sin(z)dz around a closed Contour C where C is the unit circle z=e^(iθ), for 0≤θ<2π
What do they mean by using series of sin z ? I mean if I expand it .. I get e^(iθ)- e^(3iθ)/3! ---
and...