Recent content by NeedPhysHelp8

Homework Statement The potential of a simple harmonic oscillator of HF has the following form \frac{1}{2}kx^2 + bx^3 + cx^4 The first part of the problem involved finding expressions for the first-order energy corrections for the first three states, which I found below. Basically the x3 term...

Homework Statement Prove that a continuous linear functional, f is bounded and vice versa. Homework Equations I know that the definition of a linear functional is: f( \alpha|x> + \beta|y>) = \alpha f(|x> ) + \beta f( |y> ) and that a bounded linear functional satisfies: ||f(|x>)) ||...

Homework Statement Is the following an inner product space if the functions are real and their derivatives are continuous: <f(t)|g(t)> = \int_0^1 f'(t)g'(t) + f(0)g(0) Homework Equations I was able to prove that it does satisfy the first 3 conditions of linearity and that...

Hi all, I was diving into my 3rd year quantum assignment and I saw the following which I have to use for the rest of the question to prove the Cauchy-Schwarz inequality: Homework Statement || a|x> + b|y> ||^2 I only really learned a bit about Dirac notation last year, so please...

Hi all, Hopefully this is the right section for my post, if not I apologize. I'm hoping I can just get some advice to help me get started in the right direction. I am trying to do a mathematical inversion for the following: \frac{1}{N(zi)} \frac{dN}{dz}|_{z=zi} = -\frac{2}{zi} -...

Great thanks a lot everyone for your help - I'll post my answer later tonight when I have some time to work on it. Much appreciated!

2 Masses 1 Spring Question! Help Homework Statement Two masses m1 and m2 slide freely on a frictionless horizontal plane, and are connected by a spring of force constant k . Find the natural frequency of oscillation for this system.Homework Equations \ddot{x} + \omega^2x=0 where \omega^2...

Homework Statement Calculate the energy per unit length for two long coaxial cylindrical shells, neglecting end effects. The inner and outer cylinders have radii a and b, and linear charge densities λ and -λ, uniformly distributed on the surface, respectively. 2. The attempt at a solution...

I don't think so since the prof asked to solve it in terms of t explicitly. Maybe she made a mistake in writing the problem if this cannot be solved analytically.

Ok well it was a differential equation problem that I reduced to that but here is the initial problem: dy/dt + y\cos(t) = 1/ (1+t^2) so I got an integrating factor of e^(sint) which led to this integral! Hope this helps maybe I did something wrong in first part.

Homework Statement Integrate: \exp(\sin(t)) / (1 + t^2) The attempt at a solution Ok so I tried substituting u=sin(t) du=cos(t)dt but I end up with (1 + arcsin^2(u)) on the bottom and I don't know how to integrate that. I also tried letting t=cos(u) dt=-sin(u)du but then I end up...

Thanks

How is F' wrong?? :S please explain I just used the chain rule

Homework Statement An atom of mass m is bonded to surface immobile body by electromagnetic forces. The force binding the atom to the surface has the expression: F= exp\ (a\cos z + b\sin z) + d\tan(z) where a,b, and d are constants and z is upwards. The equilibrium point is defined to be...

Oh I just read ahead, gotcha it's conservation of angular momentum! Thanks