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...
Hey everyone!
I am supposed to calculate the energy contribution of the magnetic field term of an electromagnetic field.
Basically the term is the following:
\int_\Omega dx^3 (curl(\vec{A}))^2
And we can use the following two equations for simplifying:
div(A)=0
and
\Box A=0
So basically...
Hey everyone,
I need to understand the Wheeler-DeWitt equation. Basically that the universe is static.
I only have a foundation in special relativity and not general relativity as yet. Could you please recommend papers and books for this topic? Do I really need a thorough understanding of...
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...
Homework Statement
A point P is emitting a bundle of photons. In inertial system I the opening angle of the bundle is d\Omega which hits a plane at a distance R. The same process is being observed by an inertial frame I' moving wrt. I.
Show that: R^2d\Omega=R'^2d\Omega'
Homework Equations /...
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...
HI,
I am reading Shannon's paper on Theory of Communication and I having trouble with a concept.
Shannon writes:
The output of a finite state transducer driven by a finite state statistical source is a finite state statistical source, with entropy (per unit time) less than or equal to that of...
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...