Recent content by VVS

Hey, I have a question about waves. Why is it that the energy of a wave depends only on the frequency but not on the wavelength? Shouldn't two waves that have the same frequency but different wavelengths also have a different energy? If not there should be some other quantitiy with which one can...

Homework Statement I have to prove that I(a,b)=\int_{-\infty}^{+\infty} exp(-ax^2+bx)dx=\sqrt{\frac{\pi}{a}}exp(b^2/4a) where a,b\in\mathbb{C}. I have already shown that I(a,0)=\sqrt{\frac{\pi}{a}}. Now I am supposed to find a relation between I(a,0) and \int_{-\infty}^{+\infty}...

Hey, I am going to write my bachelor's thesis on Entropy in a Quantum Mechanical Framework. My professor told me he would refer me to some literature. However it will take him some time. I would like to get started myself. Could you please refer me to papers, books, articles? I have already read...

Thanks you're right. I edited it.

Homework Statement Show the Lorentz-Invariance of the following spatial statement: Two photons are traveling parallel to each other. The relative position vector of the two photons is orthogonal to the velocity and has length d. Homework Equations / The attempt at a solution[/B] The first...

Homework Statement Hi I am supposed to calculate the distance traveled by a particle that is uniformly accelerated with acceleration equal to the Earth's gravity (i.e. a=9.81m/s^2) after 1, 10 and 100 years proper time. Homework Equations We derived in class the four vector which describes the...

Hi, I am trying to understand the derivation of the Lorentz generators but I am stuck. I am reading this paper at the moment: http://arxiv.org/pdf/1103.0156.pdf I don't understand the following step in equation 15 on page 3: \omega^{\alpha}_{\beta}=g^{\alpha\mu}\omega_{\mu\beta} I don't...

Hey thanks for the reply. We solved the problem in class so there is no more need for help.

Hello, I hope somebody can help me with this. 1. Homework Statement I am supposed to show that if there is a function \phi(x,t) which is real, satisfies a linear wave equation and which satisfies \phi(x,0)=0 for x<0 then the Fourier Transform \tilde{\phi}(k) of \phi(x,0) is in the lower...

Hello, I hope somebody can help me with this question. Homework Statement I have to prove that time dilation is a reciprocal effect by only using the Postulates of Minimal Relativity Theory: 1. Let I be an inertial frame, then I' moving with a constant velocity in a rectilinear motion with...

Thank you for your comment. I learned not only from doing the exercise but also from your comments.

Thanks for the derivation. Then there must be some confusion about the exact definition of covariance. Because our professor asked us to prove that the SCHRÖDINGER EQUATION is not covariant under Galilei Transformations. And you can actually show that if you take the Schrödinger equation in the...

Hey, thanks for your attempts to help me. I solved the problem. The Schrödinger equation is not covariant under Galileitransformations, but can be made so by multiplying the wavefunction with a plane wave function.

No problem. I found out that the Lorentz transformation is only valid for constant speeds. So what I thought is wrong. thanks anyway

Homework Statement Hi, I have an exercise where we are supposed to find a condition for which two clocks are synchronise if one clock is accelerated. Homework Equations The time dilation in an inertial frame moving with velocity v is well known. t'=\frac{t}{1-\frac{v^2}{c^2}} The Attempt at a...