Recent content by scariari

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    How Are Yang-Mills Theory and Gauge Theory Related?

    what do these terms have to do with each other? yang mills gauge theory 't hooft instanton
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    Classical Tunneling: Instantons Explained

    Im learning about quantum tunneling and read something about that there are classical solutions at imaginary times, so called instantons? Can anyone help me out with this connection?
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    Theory of relativity sets limits

    einstein's theory of relativity sets limits on speed, saying it cannot be greater than c, the speed of light. What does this imply for the limits of momentum and energy?
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    What is the relationship between energy, matter, and space-time?

    what would change in everyday life if the speed of light were to decrease?
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    Why are s-orbital spherically symmetric?

    these are some review questions for an exam: 1.why are s-orbital spherically symmetric? 2.What is the probability of finding an electron at or very near to the nucleus? (1s, 2s, 2p... 3.Why does the curve for 1s go to zero for r-> 0? (the curve of the probability density associated...
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    Math Practice: Periodic Functions

    I'm doing a practice exam for a math test on thursday, wondering if anyone could help figure out how to get from one step to the next. i don't think that the background info is necessary for these two steps. the file is attached (Adobe acrobat). what i am wondering about is the answer...
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    Can You Plot the Parametrization for 3D Geometric Algebra?

    Consider 3D geometric algebra. Let all points on a line be given by the parametrization x=tu+y, in which the parameter runs from minus infinity to plus infinity. a. Show that for all points on the line we have x(wedge)u=y(wedge)u. b. Show that the vector d pointing from the...
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    Farday's law in two conducting loops

    increasing I1 for example, will have an affect on the flux of loop 2 by making it repel. This happens because the emf generated in loop 2 led to a current which was in such a direction that its field tended to cnacel this new flux. This means that the current in loop 2 is opposite to the...
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    Electrons in a Moving Wire: The Lorentz Force

    my class is really strange to be honest. I agree i should know more about special relativity to do this, but that's what I am doing this problem for. I want to learn about it through doing this problem... so i am all ears to any suggestions/ hints/ keywords. the lorentz transformation that...
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    Electromagnetic waves in a vacuum

    FIRSTLY, in the previous reply i used "CURL" instead of "del", my appologies... about the second part of the original question, the boundary conditions at the boundary of the medium: i found 4 b.c's; for reflected perpendicular, transmitted perpendicular, reflected parallel, and transmitted...
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    Electromagnetic waves in a vacuum

    about the second part, the boundary conditions at the boundary of the medium:
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    Electromagnetic waves in a vacuum

    sorry about the first post, i didnt include the whole problem: part a asks to derive the wave equation from Maxwell's equations. I did that no problem, but i guess question is (from David J. Griffiths' "Introduction to Electrodynamics, chapter 8) how does the fact that curl.E =0 and...
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    Geometric Algebra: Explaining Commutators on Tri-Vectors

    if the commutator of a bi-vector [A,B] is found by AB-BA, is the commutator of a tri-vector then ABC-BCA-CAB?
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    Geometric Algebra: Explaining Commutators on Tri-Vectors

    so using exp(ix)=cos(x)+ isin(x), multiplying it by the vector, this will result in a rotation, correct? i have found examples for bi-vectors, but how does this change with tri-vectors? for a bivector: I^2=-1 K^2=1 exp(Ix)=cos(x)+I sin(x) exp(Kx)=cos(hx)+K sin(hx) cos...
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    Electrons in a Moving Wire: The Lorentz Force

    Consider an infinate current carrying wire along the z-axis. Let I be the current in the wire and suppose that flowing electrons produce this current. The wire has no net charge density because the density of positive ions is assumed to compensate the density of flowing electrons. Let the...
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