# Recent content by Collisionman

1. ### Particle Physics: Partial Decay Widths and Branching Ratios

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...
2. ### Period of Harmonic Oscillator using Numerical Methods

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...
3. ### Period of Harmonic Oscillator using Numerical Methods

I would used EXCEL, but I am required to determine the frequency and therefore the period using only MATLAB.
4. ### Period of Harmonic Oscillator using Numerical Methods

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...
5. ### Period of Harmonic Oscillator using Numerical Methods

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}?
6. ### Period of Harmonic Oscillator using Numerical Methods

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...
7. ### Period of Harmonic Oscillator using Numerical Methods

I know, but I don't know how to do this.
8. ### Period of Harmonic Oscillator using Numerical Methods

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...
9. ### Period of Harmonic Oscillator using Numerical Methods

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...
10. ### Finding radius of nucleus from semi-empirical mass formula?

I'm bumping this question up. Any help greatly appreciated. Thanks.
11. ### Deriving Expression for Population Fraction (Statistical Mechanics)

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...
12. ### Finding radius of nucleus from semi-empirical mass formula?

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...
13. ### Quantum Mechanics: Question on Angular Momentum

Thanks TSny, that helped a lot!
14. ### Thermodynamic Derivation of Wien's Law?

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.
15. ### Thermodynamic Derivation of Wien's 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...