Recent content by alc95

Homework Statement Homework Equations in addition to those provided in the questions, I used the following: Tr(B) = sigma<x_j|B|x_j> purity = Tr(rho^2) The Attempt at a Solution [/B] I find calculating trace and purity very confusing. Am I on the right track with question 1? With...

Homework Statement Hartle, Gravity, P9.8 A spaceship is moving without power in a circular orbit about a black hole of mass M, with Schwarzschild radius 7M. (a) What is the period as measured by an observer at infinity? (b) What is the period as measured by a clock on the spaceship...

Homework Statement The analog signal x(t) = cos(2pi f t) is sampled at a rate of 1 kHz, using ideal impulse sampling, to obtain the sampled signal x^(s)(t). The sampled signal is then sent through an ideal lowpass filter with transfer function H(2pi f ) = 0.001 rect (0.001 f ). (a) If f...

For the spacetime diagram in Q1, I got a wordline for the beacon as a straight vertical line, intersecting that of ship at x=c^2/a. I'm not quite sure about this. Problem statement Q1 (e) The pulse is received by the observer at the observer’s proper time R. Show that this event can be...

Thanks for your reply :) Here is what I have come up with for part (b): I have already worked out the coordinates for the release of the beacon as (x,ct)=(c^2/a,0). So the worldline of the beacon intersects that of the ship at that point. Now, as you pointed out, the beacon would not...

Homework Statement An observer on the bridge of a spaceship is undergoing a proper acceleration a, so that the observer’s worldline expressed in terms of the coordinates of an inertial reference frame S is given by t(\tau)=(c/a)\sinh(a\tau/c)x(\tau)=(c^2/a)\sinh(a\tau/c) (a) Draw on a spacetime...

Hi, I'm a third-year physics and electronics engineering double major, studying general relativity this semester. Looking forward to asking some questions and hopefully answering some at some stage!