Recent content by Sigma057

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    How Does the Darwin Term Relate to Commutators in Quantum Mechanics?

    Thank you so much for your reply! Without it I would have probably skipped to the next equality and missed a valuable learning opportunity. I'll post my solution to the problem to assist future readers. With your clarification I'll rewrite the problem statement as $$ H_D=\frac{1}{8 m^2...
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    How Does the Darwin Term Relate to Commutators in Quantum Mechanics?

    Homework Statement I am trying to fill in the steps between equations in the derivation of the coordinate representation of the Darwin term of the Dirac Hamiltonian in the Hydrogen Fine Structure section in Shankar's Principles of Quantum Mechanics. $$ H_D=\frac{1}{8 m^2...
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    Evaluating limit at infinity by Maclaurin series

    Thank you all! The fact that n is a fixed finite constant was the fundamental concept I wasn't using in my solution. I now can see that once I take the limit of the reciprocal sum it goes to zero =) You have no idea how frustrating this problem has been (for no good reason). Thank you al for...
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    Evaluating limit at infinity by Maclaurin series

    As x goes to infinity, ##\frac{1}{x^n}, \frac{1}{x^{n-1}}, \frac{1}{2 x^{n-2}},...## go to zero leaving us to evaluate the rest of the series ##\frac{1}{n!}+\frac{1}{(n+1)!}x+\frac{1}{(n+2)!}x^2+\text{...}## The only step I can see from here is to factor out an n...
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    Evaluating limit at infinity by Maclaurin series

    Homework Statement I've begun going through Boas' Math Methods in the Physical Sciences and am stuck on problem 1.15.25. The problem is to evaluate ## \lim_{x\to \infty } x^n e^{-x} ## By using the Maclaurin expansion for ##e^{x}##. Homework Equations We know the Maclaurin expansion for the...
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    Schools Physics master's program still open?

    Thank you so much! I wasn't aware of this website.
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    Schools Physics master's program still open?

    I'm desperate to continue my physics education in the fall of 2016. I applied to NIU for a physics master because of its July deadline. Does anyone know of any other physics master programs with open deadlines?
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    Physics Will it always be this hard to get an academic physics job?

    I wanted to support my claim that some of the schools I applied for were within my reach, since its validity was questioned. Or more precisely, I did not apply exclusively to the IV Leagues. My professors and I thought I had a reasonable chance of getting into at least one of these schools...
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    Physics Will it always be this hard to get an academic physics job?

    I knew my professors. They knew me. Personally. But I'll just say the LOR's could have been worse.
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    Physics Will it always be this hard to get an academic physics job?

    It was certainly better than a LOR written for student who had done no research at a large school and never talked to the professors outside of class.
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    Physics Will it always be this hard to get an academic physics job?

    Here is my application info so you can further judge my decisions. GPA: 3.56 GRE: 156 V, 151 Q, 5.0 A, 640 P Senior thesis, summer research internship, two semester research project. Great LOR's: small school, lots of 1-on-1 time with professors. Rejected from: Penn State, UCSB, UC Davis, U...
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    Physics Will it always be this hard to get an academic physics job?

    I've heard the same advice from this forum year after year: if you study physics have a backup plan because you most likely will not become a tenured physics professor. With the growing number of physics degrees being given and the dwindling faculty slots, this makes a lot of sense. In fact...
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    Physics How hard is it to become a physicist?

    There are hardships and uncertainties every step of the way. Me: getting rejected from all the grad schools.
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