Show that the Hartree-Fock guess wave function for helium \,(x1,x2) = 7*1*(z)(ra)ya(z) (02) [(5.), (S.2) –...
please help. 7. Show that the Hartree-Fock guess wave function for helium V,(x1, x2) = -5°18(2)(ru)018(2)(r2) [4p(S3,1)+(2,2) – 24 (S2,2)41 (S.2,1)] is properly normalized. Note that you must integrate over the coordinates and sum over the two values each Sz variable can assume.
[5] A large number of spin-1/2 particles are run through a Stern-Gerlach machine. When they emerge. all particles have the same spin wave function s)- (where the vector representation is in the basis set of eigenvectors of Sz. The spin of the particles is measured in the z-direction. On average, 2/3 of the particles have spin in the +z direction and 1/3 in the z direction. (a) Determine one possible normalized spin wave functio tere a single unique solution to...
Problem 2 If Xi, X2. ,Xso be independent and idatically distributed with probability density function same as random variable X (x) = 1/2e-2x x > 0 and Y-X1 X2+X Points 5 Points) 5 Points a) Find Moment Generating Function of Y, My(S) b) What is MGF of-2x c What is MGF of 2X +3 Problem 2 If Xi, X2. ,Xso be independent and idatically distributed with probability density function same as random variable X (x) = 1/2e-2x x > 0...
7. Find the surface area of the surface r(u, u) = u ui + (u + u)j + (u-u) k, u2 +02-1 V/16-x2-y2 with upward orientation and let 8. Let S be the hemisphere 2 F(x, y,z)-yitj+3z k. Calculate JJs F dS, the flux of F across S 7. Find the surface area of the surface r(u, u) = u ui + (u + u)j + (u-u) k, u2 +02-1 V/16-x2-y2 with upward orientation and let 8. Let S be...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...