Recent content by DanAbnormal

Im not sure if your answer is equivalent, though I'll post what I have more explicitly. In Mathematica, I have specified the three following vectors in terms of their spherical polar angles: x1 = 0 Degree; x2 = 0 Degree; x3 = 180 Degree; z1 = 0 Degree; z2 = 120 Degree; z3 = 240...

Hi, I'm trying to find a general expression for the scalar triple product for 3 vectors in a simultaneous configuration, that depends only on the inter-vector angles, A1, A2 and A3. I have expressed this quantity in terms of the spherical polar coordinates of the vectors (the length being...

Oh thanks guys! That makes sense to me now, considering all the maths I've just done. I was following a procedure just not totally getting it. But do now!

Well what I did was obtain the eigenvalues of the Sx matrix (without the hbar/(root 2) element ), which turned out to be 0, and +/- root 2 I then obtained the eigenvectors, for these, which when acted on by Sx gives 0, hbar/2, and -hbar/2 as possible outcomes, and the probability I got for the...

When I act Jx onto |0> I get the added superposition of |1> and |-1> [(1,0,0) and (0,0,1)] both weighted by \hbar/2 But |0> is not an eigenvector of Jx is it? so what meaning does this action have? If the measurement in the z-axis defined the particle to be in state |0> in that axis, then...

Homework Statement A spin-1 particle is measured in a stern gerlach device, set up to measure S_{z}. What are the possible outcomes? In this case, the outcome is zero. The same particle is measured by a second deviced which measures S_{x}. What are the possible outcomes of this...

I do not know the answer to the first question. But for the second question, I understand the following: The total wavefunction is a superposition of individual states corresponding to rotation, vibration, nuclear and electron. Both the rotational state and nuclear spin state can be...

I was wondering if anyone was familiar with what I am stuck on. I understand the origins of ortho/para hydrogen, and how it is extended to the water molecule. For 2 hydrogens: If total nuclear spin = 0 -> Singlet state (para) of total nuclear spin = 1 -> Triplet state (ortho) This...

Here is my understanding of how the anisotropies of the CMB are used to determine the geometry of the universe: The fluctuations represent fluctuations in temperature just at the moment of last scattering, and therefore are a 'fingerprint' for the fluctuations in density of particles. We can...

Oh sorry, the question asks me to show that \psi(x) = exp(ikx) is a solution of the time-independent Schrödinger equation. The potential is zero, yes. So I get the equation for Psi as: \Psi(x,t) = \exp(ikx).exp(-iEt/\hbar) From the separation of variables stuff. Well yeah ok, its not...

Homework Statement Currently I am doing a question where its asked me to show that the probability per unit length of finding a particle is independent of space and time, and is just a constant. Homework Equations The Attempt at a Solution The plane wave state I've been...

Sorry, "N" isn't the number of molecules. Its supposed to be N subscript 2, as in "N" for Nitrogen. Does the subscript 2 make the N from the equation = 2?

Just a quickie. For example, the total kinetic energy of N molecules is = (3/2)NkT = (3/2)nRT If a question were to ask you to find the such energy for a sample of N_{2} would it make the equation (5/2)kT? Does the subscript 2 make it diatomic, and hence have two molecules, I am not sure...

Sorry, I am not too sure what most of that means, could you explain?

Homework Statement Show that if a function f(x) can be expressed as an infinite power series, then it has the form f(x) = f(x0) + \sum^{\infty}_{n = 1}\frac{f^{n}(x0)}{n!}(x - x0)^{} Homework Equations The Attempt at a Solution I know that for an infinite power series: =...