In non relativistic quantum mechanics, the expectation value of an operator ##\hat{O}## in state ##\psi## is defined as $$<\psi |\hat{O}|\psi>=\int\psi^* \hat{O} \psi dx$$.
Since the scalar product in relativistic quantum has been altered into $$|\psi|^2=i\int\left(\psi^*\frac{\partial...
I have located my error. It was the fact that when I set ##\omega## to 1000, the velocity of the wall, ##\dot{L} = \omega cos(\omega t) \ge 1##, which is not allowed in the units that I am working with ##(c=1)##.
The solution to this is just to set ##L(t) = \frac{1}{\omega} (2+sin(\omega t))##...
I am trying to numerically solve (with Mathematica) a relativistic version of infinite square well with an oscillating wall using Klein-Gordon equation. Firstly, I transform my spatial coordinate ## x \to y = \frac{x}{L[t]} ## to make the wall look static (this transformation is used a lot in...
I have another question that is kind of related.
I am currently studying this research paper by O. Hamidi. What bothers me is in the equation (5), why did he choose to write ##\tau (x,t) = G(x) + K(t)## instead of the usual separation of variables ##\tau (x,t) = G(x)K(t)##?
Both substitutions...
Yes, I am doing that.
When I do ##\frac{\partial u(q,t)}{\partial t}##, I am not holding anything constant. So
$$\frac{\partial }{\partial t} = \frac{\partial q}{\partial t} \frac{\partial}{\partial q} + \frac{\partial}{\partial t}$$
The ##\frac{\partial}{\partial t}## on the 2nd term of the...
Suppose I have 2 variables q and t (time), where q is some reparameterization of x (position) : ##x \to q = x f(t)##.
Suppose I have a partial differential equation :
$$\frac{\partial u(q,t)}{\partial t} = k \frac{\partial u(q,t)}{\partial q}$$
where k = constant
Then I do a separation of...
Oh yeah, sorry I never specified this. I am from Indonesia, and it's also where I attend my undergraduate study. I am planning to apply for M.Sc at the universities in the US and Canada.
I thought applicants don't specify their specific program for M.Sc (do they?) and choose their field they...
I didn't include this in my essay, but I feel like my chance of getting accepted into PhD right now is very slim due to not having research experience. Moreover, my current undergraduate school is pretty terrible, about 90% of the physics I learn during my undergraduate so far is from...
I have updated the 3rd paragraph of my statement of purpose, which is the part where I elaborate my purpose of doing M.Sc.
After some long soul-searching on why I want to do M.Sc, it is really to get the skills needed to do PhD, and it pretty much sounds like
But isn't this an okay reason to do...
Thanks hutchphd and Vanadium. I think I kinda get what I should write. I will try to update this in a short time.
Any other advice is highly appreciated
Thanks for the response.
I have written my purpose in the 3rd paragraph, which is to get a solid understanding in in physics and to get a chance to do research. That's basically my purpose in doing M.Sc, as a stepping stone to PhD. Is this not enough?
I am trying to convey that I managed to...
This is my statement of purpose that I have written for my M.Sc application. I haven't done the closing part.
Please tell me if I need to correct anything and please don't hold back.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Why is the universe so large compared to the parameters of the Standard...
Yes, they do research and I find that their research topic is uninteresting. By the way, I forgot to mention that the research I listed were conducted in 2015-2017, I can’t find any research more recent than that on the web. My point is research opportunity is very rare.
Anyway, is it necessary...
Yes, the programs are specifically in physics.
Well, there are some "physics" research available. I just looked at my department's web, here are some of the researches conducted :
1. Chitosan based electric generator panel
2. The use of bismuth oxide as a high temperature superconductor by...