Recent content by Woozie

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    Graduate Question about number operator and density operator

    Let's say we want to find the average value of any dynamic variable, which we'll call \omega. Let's suppose we're working in some basis, which we'll call k. Then a general formula for the expectation value (average) is: \langle k| \hat{\Omega}|k\rangle=\bar{\omega} So with your formula...
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    Graduate Question about number operator and density operator

    Did you type this first one in correctly? This doesn't look right. \langle \hat{N}|n\rangle = \langle n |n\rangle = n The \hat{N} is an operator, not a vector. So it shouldn't be in a bra. Also \langle n |n\rangle is equal to 1, not n. What I think it should say is either...
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    High School Can Dark Matter and Black Holes be Associated in Earth's Rotation?

    When the solar system was formed, the matter had angular momentum. When the matter clumped together, the angular momentum from the individual pieces of matter had to be conserved, so things formed from this matter (like planets and even the sun itself) rotates.
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    Getting a B.S. in Physics was a big mistake aparently.

    I've always gotten the exact opposite response from people. I've always been told that once I get my B.S. in physics, I will NOT be able to get a job. When I graduate, I won't really be expecting to find a job in the field because of this. I plan on going directly to graduate school after...
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    Graduate Confusion about eigenstates and wavefunctions.

    I thought momentum eigenstates did represent possible states of a particle, and that after a measurement of momentum, the particle collapses to one of these states? From the looks of it, the comment you made is in direct violation of the postulates of Quantum Mechanics (or maybe I'm just...
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    Graduate Confusion about eigenstates and wavefunctions.

    This is the way I understand it. Correct me if I'm wrong. A 'particle' in a given situation will be in a state |\psi>, which is determined by the Schrödinger Equation. After measurement, the particle will then go to a state |\omega>, where |\omega> is an eigenvector of the operator...
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    Why Does the Upper Integration Limit Change in Quantum Mechanics Problems?

    Wait, in that case, shouldn't the equations be: ={\int}_0^{a}({\sqrt{\frac{1}{a}}} Sin({\frac{n{\pi}x}{2a}}))({\sqrt{\frac{2}{a}}Sin({\frac{3{\pi}x}{a})})dx ? Because the book does in fact write this integral out with 2a as the upper limit of integration.
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    Why Does the Upper Integration Limit Change in Quantum Mechanics Problems?

    Oh, thanks, I didn't forgot about that. Thank you.
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    Why Does the Upper Integration Limit Change in Quantum Mechanics Problems?

    By the way, this isn't a homework problem, it's self study. Homework Statement We're given that we have a wave function in an infinite potential well, with the well having 0 PE from 0 to a. The wave function would be described by {\Phi}_n={\sqrt{\frac{2}{a}}Sin({\frac{n{\pi}x}{a})}. It...
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    Question about significant figures.

    This isn't really a homework question. It's a question about a book I'm reading out of curiosity, but this seemed to be the most appropriate place to put it. Also, it's not exactly a physics problem, but I did come across this issue while reading a physics related book. I apologize if this...
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    Undergrad Why can't a photon exceed the speed of light?

    All massless objects have to move at exactly the speed of light to have real energy.
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    Schools Best path to a good Grad school and Career.

    This may be a dumb question, but what does "internship" mean? I hear this word a lot, but I don't really know what it refers to.
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    Schools Best path to a good Grad school and Career.

    Thanks. I had the feeling that the transition from undergrad to grad would be different than High School to Undergrad, but since I had absolutely nothing else to base it on, I just had to assume they were similar. My college is going to let me retake the classes that I failed last year. I'm...
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    Schools Best path to a good Grad school and Career.

    First, I believe I should mention that I have almost no idea how admissions to grad school works or of how grad school works in general. Basically, I want to know what I should do to get into the best Grad school in the future. When I got to college, I had wished that I had begun preparing...