Recent content by QuantumJG

Homework Statement Solve \frac{\partial \phi}{\partial t} + \phi \frac{\partial \phi}{\partial x} - \infty < x < \infty , t > 0 subject to the following initial condition \phi (x,0) = \left\{ \begin{array}{c} 1,\; x<0\\ 1-x,\;0\leq x<1\\ 0,\; x\geq1\end{array}\right. Homework...

Despite being mauled by peers, I want to somewhat try to explain my thesis. The Maths prerequisites for my physics classes are way under what you actually need so that you can comprehend the Maths or even these 'tricks' used by physics lecturers. The problem is with Electrodynamics only...

Your third statement is probably what I've been asking myself. When I was 14 and learn't about atoms I was so intrigued that I studied nuclear physics (very basic qualitative nuclear physics) and the started trying to imagine what was actually happening. I developed a love of space when I...

The maths isn't difficult it's more that it is boring Maths. I am currently doing complex analysis and algebra (rings, modules and fields) and I find this Maths interesting. I enjoy my Maths subjects because the lecturers are thorough in explaining how they get something instead of 'guessing'...

The main reason why I made this thread is that me and physics go back to when I was 16 but I'm just not enjoying electrodynamics.

I'm in my final year of undergrad and this semester I'm doing electrodynamics. Well I'm finding the subject to be very dry, difficult Maths and trying to study the content is just boring. Next year I want to go into masters, but I need to decide whether I want to do it in Maths or physics. At...

In a lecture today we evaluated a integral: \oint_{\Gamma} \dfrac{3z - 2}{z^2 - z} dz Where, \Gamma = \{ z \in \mathbb{C} | |z| + |z-1| = 3 \} Our lecturer evaluated it to be 6πi I sort of understood how he did it, but he really rushed through his steps.

I'll give more details. The question involves an infinitely long wire where you're evaluating the vector potential at a point p which is an azimuthal distance ρ from the wire. |x - x'| = \sqrt{(z')^2 + \rho ^2 } My dilemma was that we did an example in class where the current was...

I apologize for the ambiguity. The example we did in a lecture was the step function. The first part was a completely different question.

Ok so we've been given a problem to solve where: I(t) = q_{0} \delta (t) Find A(t,x) = \int^{ \infty }_{- \infty } \dfrac{ I(t_{ret}, z')}{| x - x'|} dz' All that I want is a hind because it was shown for the case that: I(t) = \left\{\begin{array}{cc} 0 , t \le 0 \\ I_{0} , t > 0

How would I go about showing: \hat{A}^{\dagger} + \hat{B}^{\dagger} = \left( \hat{A} + \hat{B} \right) ^{\dagger}

Can anybody at least give a hint?

In quantum physics we've defined: \psi (x) = \sqrt{ \dfrac{1}{2 \pi \hbar} } \int^{ \infty }_{- \infty } \phi (p) exp \left( i \dfrac{px}{ \hbar}} \right) dp Now, a(k) \equiv \sqrt{ \hbar } \phi (p) and k = \dfrac{p}{ \hbar } Where, a(k) = \left\{ \begin{array}{cccc} 0 & k...

Show \mathbb{Z} [ \sqrt{2} ] = \{ a + b \sqrt{2} | a,b \in \mathbb{Z} \} has infinitely many units. I started by taking an element: a + b \sqrt{2} \in \mathbb{Z} [ \sqrt{2} ] and finding an inverse \left( a + b \sqrt{2} \right) ^{-1} such that the product gives zero and...

My dream career is to become an academic. My study plan is to finish my BSc(Mathematical Physics) and then do a MSc in mathematical physics or physics. I want to do a MSc simply because the program looks like a very enjoyable two years of doing advanced coursework and I get to do research...