Hi all,
I have been systematically working through the wonderful book Quantum mechanics and path integrals by Feynman and Hibbs and have come to realize that it has a shockingly large number of typos. I have been trying to derive eqn 5-13 on Pg 103 starting from eqn 3-42 Pg. 57 by using...
Hullo everyone,
I am a student from India wishing to apply as a senior student to Oxford for there undergraduate degree in physics (starting in Oct 2010). Can anyone guide me as to what all forms need to be filled ? I know about the UCAS form but are there any additional forms that need to be...
Hey thanks Doodle Bob, the argument was a bit advanced for me and it could only sink in after some research on lattices etc, but I think I have more or less got the gist of your argument. I have some clarifications though :-
1. Let us assume that we define a torus using identification...
Thanks for the image maze, that really cleared things up. Also for a closed region RMT does not work. The open region which is enclosed by the boundary can be mapped conformally to any other open region but the boundaries of the two will not map to each other using this mapping in general. But...
RMT only applies to open regions but we can always exclude the boundary of the parallelograms and treat them as open subsets of complex plane. Then, can we find a holomorphic mapping between these regions? And if we can why are the generated tori not conformally equivalent? As for the 4th corner...
Hi fellas
I have been reading Road to Reality by Roger Penrose, but can't go beyond chapter 8. I do not understand why topological equivalence does not imply conformal equivalence. In particular I cannot really make sense of his argument as to why a thin torus is not conformally the same as a...
To start with, let me consider only one "plane " charge distribution (without thickness as Shooting Star mentioned). We are certain that the field is same on both sides of this plane, because of symmetry. Now we can simply apply Gauss law and get the field as has been mentioned.
But when we...
I have two points to clarify :-
1. This assumption (equipotentials with V=0 exist in the plane) was just made to get the right configuration of charges, one can check mathematically that given the particular configuration of charges (arrived at by using the method I described) the potential...
I think it is possible to make curves of zero potential in the plane. First let me take the case of 4 charges, 2 +ve, 2 -ve having the same magnitude. Now place them in a square formation with the center of the square lying at the origin of a 2-dimensional Cartesian system, with charges of same...
I thought about the same question (the crane lifting up the car) and I think it has something to with alignment of domains. Domains align because of magnetic fields, and this aligned state is more stable leading to a loss of energy which is somehow converted to kinetic energy, so magnetic fields...
Strange as it may sound magnetic fields dun do any work! In all such cases where where it seems magnetic field is doing work, one can somehow apply Faradays law which says that changing magnetic fields induce an electric field. It is this electric field which does the work. Let me demonstrate by...