Recent content by shouvikdatta8

Consider the nXn matrix A whose elements are given by, A_{ij} = 1 if i=j+1 or i=j-1 or i=1,j=n or i=n,j=1 = 0 otherwise What are the eigenvalues and normalized eigenvectors of A??

You needn't worry about symmetry of wavefunctions for the time being. You CANNOT plot wavefunctions of 2-particle system in 3D because it's a function of six variables (or coordinates.) You can just imagine. . . You are right in the other cases...

Observe, \Psi(r1,r2) ... since r1 and r2 are vectors, they have 3 components each and hence the wavefunction is 6-dimensional for 2 particles. However, the position space as you had considered in your diagram must be of 3-dimensions.

Hi carbon9, I don't see the reason why you need to consider a 3n-dimensional system. 3 coordinates are just sufficient to represent position. Also, in Quantum Mechanics you can't just pin-point positions like r1,r2.. etc. You'll have to consider an infinitesimal volume about r1,r2.. r_n, (in...

Latex Code I(\lambda,T) =\frac{2 hc^2}{\lambda^5}\frac{1}{ e^{\frac{hc}{\lambda kT}}-1}. The above mathematical statement of Planck's law will clear the dirt. In the Rayleigh-Jeans law the function diverged for low \lambda (or in the limit \lambda -> 0), however this does happen over here...

Dear carbon9, I don't know anything about the Hartree-Fock theory. But, I've studied QM in my undergrad course. First, consider what a wavefunction means. Its a function which gives info about the state of the system. For, single particle position-space wavefunctions, (like the ones you...