Recent content by Foracle
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Undergrad How to define expectation value in relativistic quantum mechanics?
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 $$|\psi|^2=i\int\left(\psi^*\frac{\partial...- Foracle
- Thread
- Expectation Expectation value Mechanics Quantum Quantum mechanics Relativistic Value
- Replies: 2
- Forum: Quantum Physics
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Undergrad Infinite Square Well with an Oscillating Wall (Klein-Gordon Equation)
I have located my error. It was the fact that when I set ##\omega## to 1000, the velocity of the wall, ##\dot{L} = \omega cos(\omega t) \ge 1##, which is not allowed in the units that I am working with ##(c=1)##. The solution to this is just to set ##L(t) = \frac{1}{\omega} (2+sin(\omega t))##...- Foracle
- Post #2
- Forum: Quantum Physics
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Undergrad Infinite Square Well with an Oscillating Wall (Klein-Gordon Equation)
I am trying to numerically solve (with Mathematica) a relativistic version of infinite square well with an oscillating wall using Klein-Gordon equation. Firstly, I transform my spatial coordinate ## x \to y = \frac{x}{L[t]} ## to make the wall look static (this transformation is used a lot in...- Foracle
- Thread
- Infinite Infinite square well Klein gordon equation Mathematica Oscillating Square Square well Wall
- Replies: 1
- Forum: Quantum Physics
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Undergrad Separation of Variables, but not equal to constant
I have another question that is kind of related. I am currently studying this research paper by O. Hamidi. What bothers me is in the equation (5), why did he choose to write ##\tau (x,t) = G(x) + K(t)## instead of the usual separation of variables ##\tau (x,t) = G(x)K(t)##? Both substitutions...- Foracle
- Post #4
- Forum: Differential Equations
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Undergrad Separation of Variables, but not equal to constant
Yes, I am doing that. When I do ##\frac{\partial u(q,t)}{\partial t}##, I am not holding anything constant. So $$\frac{\partial }{\partial t} = \frac{\partial q}{\partial t} \frac{\partial}{\partial q} + \frac{\partial}{\partial t}$$ The ##\frac{\partial}{\partial t}## on the 2nd term of the...- Foracle
- Post #3
- Forum: Differential Equations
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Undergrad Separation of Variables, but not equal to constant
Suppose I have 2 variables q and t (time), where q is some reparameterization of x (position) : ##x \to q = x f(t)##. Suppose I have a partial differential equation : $$\frac{\partial u(q,t)}{\partial t} = k \frac{\partial u(q,t)}{\partial q}$$ where k = constant Then I do a separation of...- Foracle
- Thread
- Constant Separation Separation of variables Variables
- Replies: 3
- Forum: Differential Equations
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Admissions Statement of Purpose for Physics Masters Degree Application
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...- Foracle
- Post #49
- Forum: STEM Academic Advising
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Admissions Statement of Purpose for Physics Masters Degree Application
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...- Foracle
- Post #45
- Forum: STEM Academic Advising
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Admissions Statement of Purpose for Physics Masters Degree Application
I actually did consider his advice while writing this. I compile all the useful advice I get from the web and wrote my SOP in accordance.- Foracle
- Post #44
- Forum: STEM Academic Advising
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Admissions Statement of Purpose for Physics Masters Degree Application
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...- Foracle
- Post #40
- Forum: STEM Academic Advising
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Admissions Statement of Purpose for Physics Masters Degree Application
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- Foracle
- Post #39
- Forum: STEM Academic Advising
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Admissions Statement of Purpose for Physics Masters Degree Application
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...- Foracle
- Post #36
- Forum: STEM Academic Advising
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Admissions Statement of Purpose for Physics Masters Degree Application
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...- Foracle
- Post #34
- Forum: STEM Academic Advising
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Admissions Statement of Purpose for Physics Masters Degree Application
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...- Foracle
- Post #31
- Forum: STEM Academic Advising
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Admissions Statement of Purpose for Physics Masters Degree Application
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...- Foracle
- Post #19
- Forum: STEM Academic Advising