Recent content by brasidas

1. I = 0.277A right? Total power consumption assumes the total resistance, which is R = 43.3\Omega , right? So when I carried out the calculation, I ended up with P = 3.322 W 2. P = 3.322 W = 3.322 \frac{J}{s} Therefore, 10000 J = 3.322\frac{J}{s} \cdot x(s) , right? So you will end up...

With v^2 = vi ^2 * 2a (x-xo) you must be referring to: (v_{f})^2 - (v_{i})^2 = 2a(x - x_{0}) You have the initial velocity (158 km/h), the final velocity you need (27.2 km/h) and the distance between the two objects. Assuming the locomotive and the train are moving in the same direction...

There is no written (= explicit) description of mass. My point is, did you try non-magnetic mass, and still ended up with the oscillation? If anything, any metal contains some magnetic moment, and if non-magnetic material still oscillates (which I think is the case, by the way) then how would we...

I guess this problem doesn't need any more attention. My understanding is that Method of Frobenius may be of help to find a solution to the DEQ, but it may not be able to provide all the solutions. In this case, s = -3 doesn't provide anything useful, for instance. s = 0 is the only...

I wasn't done typing the problem, and my attempt at it. Trivial errors are all fixed by now. That aside... I still don't see how much sense I can get out of the situation above.

Homework Statement Using method of Frobenius, find a series solution to the following differential equation: x^2\frac{d^2y(x)}{dx^2} + 4x\frac{dy(x)}{dx} + xy(x) = 0 Homework Equations y(x) = \sum_{n = 0}^\infty C_{n} x^{n + s} The Attempt at a Solution y(x) =...

... That's not to be avoided... It's called "Projection Operator", with \sum\limits_n { \left| n \right> \left< n \right|} \ = \hat 1, where \{ \left | n \right > | n = 1, 2, 3... \} represents orthonormal basis, and \hat 1 represents an identity matrix...

I strongly doubt whether you can do that... Think about it purely in mathematical sense. Ket vector is a column vector (n x 1 vector) while bra vector is a row vector. (1 x n vector) Usually operators are n x n square matrix, so if you have a \left< U_{i} \right|\hat Q \left| V_{i} \right> ...

Homework Statement Show that, [a, \hat H] = \hbar\omega, [a^+, \hat H] = -\hbar\omega Homework EquationsFor the SHO Hamiltonian \hat H = \hbar\omega(a^+a - \frac{\ 1 }{2}) with [a^+, a] = 1 [a, b] = -[b, a] The Attempt at a Solution I have tried the following: [a, \hat H] = a\hat...