I'm studying a course in Fourier. In a multi-choice question, one of the answers asks for the value of the definite integral of sin(ax)/x over [-pi,pi]. I am wondering if there is a way to calculate this integral (I guess using Fourier techniques) or not.
It is possible that it can't be solved...
Please see here:
http://www.youtube.com/watch?v=n5bsQ_YDYCI&feature=player_embedded#
First - wow.
Second - I'm not sure I understand the mathematician's explanation. Why would there be a thin layer of air to begin with? Is this correct? Is there a different explanation for this...
I'm hoping this is the best forum for this...
I'm considering buying a digital microscope for my lab. Specifically I'm looking at this model:
http://www.sunrisedino.com/index.php?main_page=product_info&cPath=9&products_id=126
The reason I'm looking at this is that it's both portable, small...
If I knew what I wanted to hear I wouldn't need to ask you for it.
Can you please give others a chance to answer my question as well? I thank you for your answer but I want to hear other possible answers.
Thanks, although that's not derived from Fermi's golden rule is it...
I was hoping for a more intuitive explanation. Pressure broadening stems from enhanced stimulated emission, doppler broadening is obvious... where does the natural linewidth comes from?
Hi,
I am trying to understand exactly how and why the lifetime, or decay rate, of an atomic level determines the spectral width of the transition to this level. Also I would like to understand why the natural lineshape is a Lorentzian. I am familiar with the vague explanations involving...
There is a formula here:
http://www.ac.wwu.edu/~vawter/PhysicsNet/Topics/MagneticField/MFStraitWire.html
If we limit our discussion only to the center of the wire, theta=phi and you obtain the result of an infinite wire, times cos(theta). And I am not at all sure where in Ampere's law this...
Let's say I want to calculate the magnetic field at a distance d from the center of a wire of finite length L, carrying a current I. Why would it be wrong to apply Ampere's law to a circular path of radius d centered on the wire, and say that the integral of B.dl is simply B times 2pi*d...
After a bit of search I see that the method to solve this kind of recurrence relations is to assume a solution of the form A \lambda_1^N + B \lambda_2^N and find A and B from the initial conditions. However this is not exactly the form of the solution here... how come?
Hi,
I'm reading a paper where the determinant of the following matrix is solved for using some kind of recurisve method.
The matrix is given by M_{ij} = A \delta_{i,j} - B \delta_{i,j-1} - C \delta_{i,j+1}, with i,j = 1...N and are NOT cyclic.
The author sets D_N =...