Recent content by wrldt

2\alpha\int\limits_{-\epsilon}^{\epsilon}\delta(x)\psi(x)=\frac{\partial \psi}{\partial x}\bigg|_{-\epsilon}^{\epsilon} This simplies to something like 2\alpha\psi(0)=\Delta\left(\frac{\partial \psi}{\partial x}\right). After some work I believe this simplies down to k=\alpha So now our...

Homework Statement A particle of mass m is confined to move in a one-dimensional and Diract delta-function attractive potential V(x)=-\frac{\hbar^2}{m}\alpha\delta(x) where \alpha is positive. Integrate eh time-independent Schrödinger equation between -\epsilon and \epsilon. Let...

I believe mathwonk reduced the study of math to mostly hard work, determination, interest, and then finally intelligence.

I had this impression as well. On my academic site I use to have a set of LaTeX'd notes and solved problems from a thermodynamics textbook (self studied). I've never mentioned it on a CV and have since abandoned the site. I've suggested to him that he should turn the notes and problems he...

This is a pretty short question. Is it meaningful to list what you have self-studied on your CV? This question was prompted by me glancing at my office mate's CV. He is a master's student applying to PhD programs. He listed that he studied his way through General Relativity and Algebraic...

I hope I'm not absolutely destroying etiquette by responding to this more than a year later. To answer your question: I ended up getting into a PhD program. Had I not, I would have followed the general advice of Mathwonk - leave a trail of excellence and hopefully find some relevant work...

Homework Statement Prove that weak induction is equivalent to strong induction. Homework Equations To prove this...we assume weak induction. That is (i) 1 \in S (ii) n\in S \Rightarrow n+1 \in S for all n in N The Attempt at a Solution So to prove strong induction we...

Let {xn}n = 1\infty be a bounded sequence and {xnj} be a convergent subsequence, each one converging to L. Want to show that {xn[}[/itex]n = 1\infty converges to L. My proof is as follows. Suppose that {xn}n = 1\infty does not converge to L; this implies that there is a...

I don't have any research experience unless you want to count the readings I'm doing towards my master's thesis. I believe my GRE score was something like 640/480 Q/V. Like I mentioned, I was practically dying while taking the GRE. It was a terrible idea to take it when I did. I have not...

This is perhaps not a conundrum and me thinking about things too much. The story: I'm about to start my second year in my Master's program. I've taken the following two course sequences: Real Analysis/Functional Analysis, Complex Analysis/Variables, and Analysis I&II. I also have taken a...