Using (10.6), (5.8), and Problem 2, evaluate P12n+1(0).
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Using (10.6), (5.8), and Problem 2, evaluate P12n+1(0).
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- In free space, U (r, t) must satisfy tne wave equation, VU - (1/)U/at = 0. Use the definition (12.1-21) to show that the mutual coherence function G(r1,r2, 7) satisfies a pair of partial differential cquations known as the Wolf equations, 1 PG = 0 vG – (12.1-24a) vG - 1 G = 0, (12.1-24b) where V and V are the Laplacian operators with respect to r, and r2, respectively. G(rı, r2, 7) = (U*(r1,t) U(r2, t + T)). (12.1-21) Mutual Coherence Function11.1.3 Show that the electrostatic potential produced by a charge q at z = a for r < a is y(r) = 9 Απέρα n=0 (7) Pn(cos 0).could you also explain to me how you come up with question A?
- MathProblem 4.38. Two magnetic systems in thermal contact Consider two isolated systems of noninteracting spins with NA energies are EA = -2µB and Eg = -2µB. = 4 and NB = 16. Their initial (a) What is the total number of microstates available to the composite system? (b) If the two systems are now allowed to exchange energy with one another, what is the probability that system A has energy EA? (c) What is the mean value of EA and its relative fluctuations? Calculate the analogous quantities for system B.Model the effective potential seen by the least bound proton in the nucleus as a square well with depth Bn inside the nuclear radius R, plus a repulsive Coulomb potential from a uniform charge distribution of the other protons inside the nucleus. Estimate Br for 209 Bi (mass number A = 209 and atomic number Z = 83), the largest stable isotope. How is Bn related to the depth of the nuclear potential Vo? Hint: The electrostatic potential a distance r from the center of a uniformly charged sphere of radius R and total charge Q is given by: for r < R. Q V = (3R² — r²) 8πTEOR³