Recent content by Ang Han Wei

I was given the (general) following form for the Hamilton and Heisenberg Equations of motion \dot{A} = (A, H)_{}, which can represent the Poisson bracket (classical version) or \dot{A} = -i/h[A,H] (Quantum Mechanical commutator). I was given the general solutin for A(t) = e^{tL}A...

Homework Statement I was given a Hamiltonian H = -\muB\sumcos\alpha_{i} where the sum is over i from i = 1 to i = N I need the partition function given this Hamiltonian. Homework Equations The Attempt at a Solution I tried using the classical approach where Z_{N} =...

Homework Statement A system is made of N 1D simple harmonic oscillators. Show that the number of states with total energy E is given by \Omega(E) = \frac{(M+N-1)!}{(M!)(N-1)!} Homework Equations Each particle has energy ε = \overline{h}\omega(n + \frac{1}{2}), n = 0, 1 Total energy is...

Hi, my course just provided an introduction to Bose-Einstein Condensation. I was told that this phenomenon occurs when the temperature of Bosons go under a certain critical temperature T_{c} > 0K. At absolute zero, all the Bosons go into the condensed phase. However, at temperatures...

Hi, can I know what are the ways to show that the ground state particles of a Bose Gas possesses 0 entropy?

I see that there are some occasions when such partitions are called into use and they have to be taken into the total number of possible states in a factorial, while at other times, they do not appear. How would one know when such partitions are to be taken into account?

Hi, can I know why the number of partitions separating different states have to be taken into account for the derivation of number of states in an ideal Bose Gas but not in the Fermi Gas? What is the physical significance of this "partition"? In what ways can they vary?

I was recently told that the integral for a 3-momentum d^3p = 4∏∫p^2 dp But I don't know what how is this integtal done. Any help?

I find that it is a good book too and provides questions in different levels of difficulty. But can I check if anyone has any solutions or worked solutions to help students that are not as mathematical-savvy like myself?