Recent content by neerajareen

I've just been admitted to UCSB (College of letter's and science) and the University of Waterloo for the honors physics program and I'm having difficulty deciding between the two. Which college has better research for undergrads? Since I'm planning on pursuing a career in physics, where would I...

The fibonacci sequence can be defined as $${F_n} = {F_{n - 1}} + {F_{n - 2}}$$ and specifying the initial conditions as $$\eqalign{ & {F_1} = 1 \cr & {F_2} = 1 \cr} $$  Also there exists a general formula for the fibonacci which is given by $${F_n} = {{{\varphi ^n} + {\psi ^n}} \over...

There is. In many cases, path integrals are too difficult to solve exactly. Therefore physics tend use lattice grid calculations and in order to sum over different trajectories. This invoked divided space time into little 4D volumes and considering the action over each of these 4D cubes. This...

Sooner it later. Given enough time, the the random permutations of protein molecules will eventually form DNA. So there are going to be life forms on other planets too. It's inevitable.

Your confusion relies on the fact that gravity tends to be an entropic force. For example if you have a clump of gas in one area and you let the system evolve, by diffusion the clump will spread and entropy will increase. In gravitational physics however entropy is different. If we start out...

No I meant, can they form a group together. Can they be put in the same group? Just like how Lorentz boosts and rotations are combined into the Lorentz group?

Do hyperbolic rotations of euclidian space and ordinary rotations of euclidian space form a group?

Yeah i meant that s and r are related but i still do not know how to solve the DE you said @simon

Thank you all for your replies. I understand that we need to eliminate some variables according to what siddharth said. I realize that s is related to r because the distance fallen is along the radius as pointed. But I'm still not sure how to go about doing the integral because R is a function...

I am trying to study the motion of a falling body in the earth’s gravitational field however not assuming a constant acceleration. I want to work out the distance traveled in a given time. We know that  a = \frac{{GM}}{{{r^2}}} Likewise, we can calculate that \begin{array}{l}...

Thank you Cthuga. That makes sense

Hello, I am trying to prove that the momentum of an electromagnetic field is E \times B by considering the conserved quantity due to the spatial translation of the Lagrangian.  L = - \frac{1}{4}\int {{F^{\mu v}}{F_{\mu v}}} {d^3}x So far, I have calculated the canonical momentum...

just to clarify /dag is the dagger symbol (hermitian conjugate).

This question is regarding the boson statistics and it’s relation to the uncertainty principle. Consider we have a vacuum state and we apply a field operator on it to create a particle at position x, we end up with state like \begin{array}{l} \left| \psi \right\rangle = {\psi ^\dag...

1) That is correct. When you measure a certain observable Ω, the eigenvalue is ω and the eigenvector is ψ in the appropriate basis. It will yield a gaussian in the basis of all the eigenvectors of Ω. 2) Experimentally, measurements are very tricky. For example when when we measure position...