Recent content by PChar

Ah, figures I would try do it the hard way. So it seems like my energy eigenvalues will be: E_{n} = \hbar \omega ' (n_{x} + \frac{1}{2}) + \hbar \omega '' (n_{y} + \frac{1}{2} ) Which should also answer the question about degeneracy, there is none due to the ω' and ω" indicating which...

Homework Statement (See attachment) Homework Equations x = \sqrt{\frac{\hbar}{2m \omega}} ( a + a^{\dagger} ) x = i \sqrt{\frac{\hbar m \omega}{2}} ( a^{\dagger} - a ) The Attempt at a Solution In part a) I was able to construct a separable Hamiltonian for the harmonic...

Homework Statement A thick lens has an index of refraction of 1.560, thickness of 3.0cm, and radii of curvature of R1= -4.50cm, R2= -3.60cm. Calculate the positions of the focal points (relative to the vertices). Homework Equations \frac{n}{s}+\frac{n'}{s'}=\frac{n'-n}{R} ffl =...

Relevant equations r_{Roche}=(\frac{2M}{m})^{1/3}Δr I can't seem to find a good explanation of what Δr is. My textbook uses an example of two particles, with that being the distance between their centers, but on the planetary scale, does Δr represent the orbiting body's radius or diameter?

Yeah, that's all the problem statement says, word for word. Anyway, I got 4.02*10^{11} metres as the semimajor axis. Given that it's a comet, I'm at least assuming that the orbit is highly eccentric, less than 1, since it asks for the apocentre, but greater than, probably 0.9, but without...

I think I just realized what I need to do. Do I just need to plug the apocentre distance into the vis-viva equation and solve for e? EDIT: nevermind, still stuck, just tried this and I got a negative eccentricity.

Homework Statement If a comet passes close to the Earth with a velocity of 38km/s, how far is the apocentre of its orbit from the Sun? What is the eccentricity of its orbit? Homework Equations Vis-Viva Equation: (V)_{ecc}^{2} = GM [ \frac{2}{R} - \frac{1}{a} ] Apocentre distance...

Hi, I've just got a question about uncertainties that came up while doing a lab report. I have a set of data for currents required to cancel the deflection of an electron beam caused by the Earth's magnetic field: 0.195 A 0.220 A 0.250 A 0.251 A 0.239 A Because of the difficulty in...

Thanks for the help guys.

Yeah, but it's hasn't really helped any more than trying to manipulate formulas. I have an idea rolling around that the since the velocity increased while the particle was at a Radius of R, then R will be its pericenter, which would allow me to find the eccentricity, but I'm not sure if that's...

Homework Statement A small particle of mass m is on a circular orbit of radius R around a much larger mass M. Suppose we suddenly increase the speed at which the mass m is moving by a factor (that is, v_{final} = α * v_{initial}, with α > 1). Compute the major axis, minor axis, pericentre...