Recent content by Collisionman

Hello there, This isn't specifically homework, it is study. I'm having a difficult time trying to understand how to calculate/estimate partial decay widths, \Gamma[\itex], and Branching Ratios. I haven't found very clear information online so far. Here's just an example below that I'd like...

I think I need to determine it more accurately than just using my eyeballs. Later on in the problem sheet I've given, I am required to include damping forces, which will make it harder to determine period using the method you've described. I am required to modify the MATLAB program I've written...

I would used EXCEL, but I am required to determine the frequency and therefore the period using only MATLAB.

I just realized this a second ago. Thank you, Chestermiller and D H, this is great help. As per my original question, does anything know how I find the period of the oscillations? Do I just use a Fourier transform of some kind in MATLAB to find the frequency and then use that to find the...

So, am I right or wrong in saying that a_{n} is just -ω^{2}_{0}x, with x(t=0)=0 and ω0 = 1? So how would I write a_{mid}?

The way I initially wrote 5 and 6 here were typos, sorry. I used item 1 because that is basically what the initial acceleration is, as stated in the question: \frac{d^{2}x}{dt^{2}}=-\omega^{2}_{0}x, so I subbed in the angular frequency (\omega_{0} = 1) and x(at t=0)=1 to get my initial...

I know, but I don't know how to do this.

Sorry, I should have written the initial equation of motion as: \frac{d^{2}x}{dt^{2}}=-\omega^{2}_{0}x Basically, I forgot the 'x' on the LHS when I was writing the OP. This will mean that a = - 1 (I forgot to add the 'minus' sign), because x (t=0) = 1 and w = 0. The velocity remains v...

Homework Statement Numerically determine the period of oscillations for a harmonic oscillator using the Euler-Richardson algorithm. The equation of motion of the harmonic oscillator is described by the following: \frac{d^{2}}{dt^{2}} = - \omega^{2}_{0}x The initial conditions are x(t=0)=1...

I'm bumping this question up. Any help greatly appreciated. Thanks.

Homework Statement A quasi-3 level solid-state laser gain medium consists of a ground state manifold containing two energy levels within which a single electron can be promoted, with the second energy 10meV above that of the lowest level. A. Where the gain medium is not optically pumped...

Homework Statement The nuclei ^{41}_{21}Sc and ^{41}_{20}Ca are said to be a pair of mirror nuclei. If the binding energy of ^{41}_{21}Sc and ^{41}_{20}Ca is 343.143 MeV and 350.420 MeV, respectively, estimate the radii of the two nuclei with the aid of the Semi-Empirical Mass Formula...

Thanks TSny, that helped a lot!

P is the Radiation Pressure. It relates to the first law of termodynamics definition of work, PdV. Basically, I'm looking to derive Wien's law from the first law.

Can someone tell me how I can derive Wien's law, i.e., \lambda_{max} T = constant where \lambda_{max} is the peak wavelength and T is the absolute temperature of the black body, using the equation, P=\frac{U^{*}}{3} where U^{*} is the energy density. Note: I'm not looking for...