Recent content by avkr

Homework Statement To find relation between conditional (Shanon) entropy and KL divergence. Homework Equations Conditional Entropy: H[X | Y] = H[X,Y] - H[Y] KL Divergenece: H[X || Y] = -H[X] - Σx ln(y) The Attempt at a Solution H[p(x,y) || p(x)p(y)] = -H[p(x,y)] + H[p(x)] + H[p(y)]

got it. thanks!

Okay, but can you define exactly what endpoint energy is. In the article: https://www.nucleonica.com/wiki/index.php?title=Endpoint_energy, it says ##E_0 = Q + m_e c^2## which is "mass difference between the parent and daughter nuclides" for beta decay. So endpoint energy is not the maximum...

I have edited the question and attached the lecture slide I am reading. I think I'm getting confused about the definition of endpoint energy. Is it the maximum kinetic energy of electron observed or the total relativistic energy of the beta particle.

I know that Q value of a reaction is the difference between total initial mass-energy and total final mass-energy of all the products. Then shouldn't be this also the maximum kinetic energy and hence endpoint energy of an electron in beta decay. But what I have read endpoint energy ##E_0 = Q +...

The selection rule for rotational spectra ##ΔJ = ±1##. Is it always true for the emission part of rotation spectra ##ΔJ = -1## and how?

Homework Statement Consider an ##H_2## molecule where the protons are separated by a wide distance R and both are located on the z-axis. Ignoring the spin degrees of freedom and treating the dipole-dipole interaction as a perturbation, use perturbation theory to estimate an upper limit for the...

What is the reason for enhancement in the intensity of emission due to the introduction of a shell in quantum dots? I do understand the blue shift in quantum dots but how does a shell enhance it?

Homework Statement Homework Equations The Attempt at a Solution [/B] ##\hat{S}_1.\hat{S}_2 = (S(S+1) - S_1(S_1 + 1) - S_2(S_2 + 1))/2## therefore singlet: ##\psi_s = \frac{\phi_a (1)\phi_b(2)(\alpha(1)\beta(2) - \alpha(2)\beta(1))}{\sqrt(2)}## So for singlet, ##\mathcal{V} = -\frac{K...

Thanks for this! Got my mistake.

I have included e0 as energy of neutrino whereas sqrt(m_n^2 c^4 + e0^2) contains the terms rest mass of neutron (m_n^2 c^4) and e0^2 is the (pc)^2 term ( p = e0/c, therefore (pc)^2 = e0^2).

Homework Statement Mass of neutrino = 0 Mass of proton/neutron = 1 GeV Mass of tau = 2 GeV Homework Equations Energy of neutrino in lab = e Energy of neutrino in CM = e0 The Attempt at a Solution In the centre of mass frame, we will take the momentum of the neutron to be e0/c, c = speed of...