Recent content by Geocentric

What I don't understand is that according to Ehrenfest theorem, <p> = m* d/dt<x> Why is this not true in this case?

Homework Statement A particle is represented(at t=0) by the wavefunction u(x,0) = A(a^2 - x^2) if -a<x<a = 0 otherwise Determine <x> & <p>. It is given in the book that in this case <p> \neq m*d/dt<x>. Could someone please tell me the reason...

Are your axes of rotation going through the origin? Do you mean the center of mass? I have found it about 2 points-one is the center of mass and other is some arbitrary point. What is really creating a doubt in my mind is that, if I find the moment of inertia tensor about a point in the body...

Consider 4 equal masses at the 4 corners of a square of side b. First I took one of the corners as the origin and found the principal moments of inertia to be Ixx=mb^2, Iyy=3mb^2, Izz=4mb^2 after solving the secular equation. Again, I found the principal moments of inertia but now with respect...

Let me be more specific. Consider 4 equal masses at the 4 corners of a square of side b. First I took one of the corners as the origin and found the principal moments of inertia to be Ixx=mb^2, Iyy=3mb^2, Izz=4mb^2 after solving the secular equation. Again, I found the principal moments of...

Homework Statement When I try finding the principal moments of inertia with respect to different origins for any arbitrary configuration(assuming that the inertia tensor is diagonalized), I end up getting different values. Intuitively, this is quite acceptable because the mass distribution is...

Never mind. I get it now guys.

Homework Statement I have a question on finding the principal moments of inertia of a discrete set of mass points on a plane. If I choose one of the mass points as the origin, I always end up having a diagonal matrix for the inertia tensor for any configuration. Isn't that weird? I sense...

Homework Statement I have been given the problem of finding the potential of a dipole in cylindrical coordinates. The only way that comes to my mind is to extract the dipole term from the multipole expansion of the potential of an arbitrary charge distribution in cylindrical coordinates. But I...

Homework Statement I am stuck on this integral. 1) (a - bx)/(a^2 + b^2 - 2abx)^(3/2) I tried some substitutions but end up with complicated expressions. How to decompose into partial fractions when the denominator is raised to fractional powers? Can anyone please help me out? Homework...

I misunderstood the uniformly charged sphere as uniformly charged conducting sphere. Thanks guys.

Could you please clarify what you intend to say?

If a gaussian surface is constructed within the uniformly charged sphere, the electric field is not zero. So, there is charge not only on the surface but also inside. Isn't that true?

Homework Statement In the case of charged conducting sphere, we find that the charge entirely resides on the surface because it always tries to cancel the field inside by moving to the surface. But in the case of a uniformly charged conducting sphere, we find that the charge is uniformly...

Homework Statement I have been given a problem. The density matrix can be constructed if the ensemble average of Sx, Sy and Sz are given. But I have no idea on how to construct the density matrix from these Si's. Any help is most welcome. Homework Equations Ensemble...