Recent content by nhanle

Hi, I am applying for a post in Medical Physics and supporting documents is required. I actually did a final version but still need advice/opinion from people who works in the field of Medical Physics on my statements. So, if anybody interested, please PM me and I will send you the...

Homework Statement The principle of equal a priori probabilities (PEEP) states: Homework Equations In the case of the Gibbs entropy, for a particular energy U, the entropy is S = -k_{b}\sum_{i} P_{i} lnP_{i} Should the probability for a system that, at any instance, being in a particular...

wow, thank you so much. Just to extend this arguments further. If the question was about the eigenstates of the modified Hamiltonian \hat{H} = \frac{\hat{p}^2}{2m} + m\omega^2 ( x^2 + y^2 + \alpha (y-x)^2 + z^2) , can I assume: 1) the ground state |n,l,m> has its symmetry skewed in the...

Thank you, after your suggestion here is my attempt x' = x + y y' = x - y So the Hamiltonian becomes \hat{H}= \frac{\hat{p'^2}}{2m} + m\omega^2( \frac{1}{2} (\hat{x'^2}) + \frac{(1+ 2\alpha)}{2}(\hat{y'^2})) where \hat{p'}^2 = (\hat{p_{x'}})^2 + (\hat{p_{y'}})^2 Question: - Is it...

Homework Statement A two-dimensional harmonic oscillator is described by a potential of the form V(x,y) = 1/2 m \omega^{2}(x^{2}+y^{2} + \alpha (x-y)^{2} where \alpha is a positive constant. Homework Equations Find the ground-state energy of the oscillatorThe Attempt at a Solution I have tried...

it does but only with a few special case. So, I stumpled on this question "Prove that bijkl = ∫r<a dV xi xj ∂2(1/r)/∂k∂l, where r=|x|, is a 4th rank tensor." How to transform the partial derivatives? Thank you for being so patient with me I also have question about the affine connection...

those appears on my lecture notes and also my book (general relativity - M.P.Hobson, G. Efstathiou, A.N. Lasenby) with very vague definitions. From my understanding, if one is to be a rank N-tensor, it should expect to have N derivative summations under coordinate transformation. Is that right?

hi tiny-tim, thank you for your reply. This is how vague the definition of tensor I am holding at the moment. I am also confused about the Affine connection. Can you help me clarify this? Thank you

I have no idea how to solve this too, can you give me some idea please?

I have the same problem, can anyone help us?