murgh17

Lattice forces affect the motion of electrons in a metallic crystal, so that the relationship between the energy E and wave number k is not the classical equation E = ((hk)^2)/(2m) where h is equal to the reduced Planck constant and m is the electron mass. Instead, it is possible to use an effective mass m*. What is the equation for the effective mass m*?

In ancient Greece, many 'mathematicians' attempted to develop tools to square a circle (i.e. given a circle draw a square with the same area). Many philosophers became worried as they feared incommensurable numbers and intensely fought against irrational numbers when some Greeks began to develop tools to square a circle. Anybody who correctly identifies one of these tools or shows how it is impossible to make such a tool gets 10 points.

Using relativity, show how moving electrons can create an electric field. Conceptual problem only, no calculations required.

Cosmologists and astronomers now theorize about the big bang and the time shortly after by examining and creating a wavefunction for the universe. Can anyone suggest a reasonable such function? Or can anyone use modern quantum theory to argue against such research? Most thoughtful/compelling answer gets ten points.

Me and some fellow physics students composed a question and wanted to know if it can be solved, or if it has no physical means of existing:

Given the current in a wire, is it possible to measure the Pressure of the Electrons moving within it on the inner wall. What is the Pressure as a function of Current? Is this a physically viable concept?

If you feel the need to consider the electrons Quantum Mechanically, it would be most interesting, but goes a little bit beyond the scope of the question.

If you want to create a more in depth proof, you can submit them in any form (preferably written in Tex, however) to my email address:

murgh17@gmail.com

Feel free to post or email me any questions.

Anyone know how to solve dy/dt=y+t^3 using a higher order taylor methods?

My puppy keeps knocking his food out of his bowl and then playing with it. He keeps running at it and taking a little bit of it in his mouth and chewing it as he runs away. Any suggestions?

He seems hesitant to use the bathroom... any suggestions? Back home I have a boxer and she wasnt like this. All the new pup wants when ever we go for walks or outside is to be picked up.