I'd say that study hard (under pedagogically excellent professors of theoretial physics) and you probably will some day begin to see the mathematical beauty of physical theories.
How to become extremely comfortable with math: learn it, use it. Some basic mathematics can often be visualized...
Perhaps what one means is that bosons do not obey the Pauli exclusion principle.
This needs to be compared with fermions: Even non-interacting (i.e. no many-body interactions) fermions repel each other due to the Pauli exclusion principle. Bosons on the other hand do not repel in case of no...
Currently undergrad: For fall 2010:
Differential Calculus I
Integral Calculus I
Numerical Methods
Foundations of Chaos Theory
Quantum Mechanics II
You think it's a bit too much to study well?
http://en.wikipedia.org/wiki/Functional_derivative
That is a functional derivative, I believe. However I haven't used it myself, only stumbled upon it last year in an intro to cosmology.
Yes, people do study chaos theory. It's propably not the biggest mainstream thing but more and more people are studying it. University or a research institute would be my quess for the most propable employer. Depending on the type of chaos you want to study, theoretical mathematics (at least...
Actually, I didn't write all things up:
We also had a separation vecto called \rho _a. V_a was introduced as relative motion, not as a separation vector. The two paths that we had were v and v+\Delta v. Afterwards we made \Delta v infinitesimal, so that \rho _a = V_a \Delta v would be...
I don't understand the physical meaning of one of my dimensions/variables.
Let there be a gravitational potential \phi (x_a), a=1,2,3.
Equation of motions of a freely falling particle is:
\frac{d^2 x_a}{d t} = - \frac{\partial \phi}{\partial x_a}.
If there are 2 particles falling, family of...
If I solve explicitly for moment of inertia:
I=mr^2 \frac{2gh-v^2}{v^2}
(did I understand you correctly?)
Then mass moment of inertia depends on m,r,h and v. But v depends on h :O How to take this into consideration?
And lowlyPion's solusion was somewhat confusing: I =mr2*(2k' - 1)...
Homework Statement
Hi, I've a lab assingment, and the labwork must be planned beforehand, but I have some trouble figuring out some parts of my error analysis.
So, I'm supposed to measure (as in not use integrals to find out) the mass momentum of a ball. The plan is to place the ball on an...