Recent content by Achmed

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    Special relativity - time dilation

    Consider two events that take place at the origin of the frame of an inertial observer O' . At times t_1 ' = 0 and t_2 ' = T . O' moves with a constant speed v w.r.t. another inertial observer O . 1. Use the Lorentz-transformations to show that these events occur at x=vt in the frame...
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    Galilean transformations - What am I messing up here?

    Shouldn't it be c't'/2 = (c-v)t/2?
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    Galilean transformations - What am I messing up here?

    This question is a sort of intro question for a special relativity course, in the next question you have to assume c' = c. But in this question you have to assume that everything is Newtonian, i.e. you want to obtain that t=t'. But, as I say in the OP, I can't seem to figure out what I've done...
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    Galilean transformations - What am I messing up here?

    If you draw a triangle with ABC where AB is vt', then wouldn't AC + BC be equal to simply c't'?
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    Galilean transformations - What am I messing up here?

    This is a follow-up to a question I asked earlier. We have the following exercise: We have two parallel mirrors, which are located at y=0 and y=l in the (x,y) plane. A photon is traveling between the mirrors, up and down along the y-axis. Consider an observer O at rest w.r.t. the mirrors...
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    Light clock - Galilean transformations

    We have two parallel mirrors, which are located at y=0 and y=l in the (x,y) plane. A photon is traveling between the mirrors, up and down along the y-axis. Consider an observer O at rest w.r.t. the mirrors. What's the time (Δt) measure by O for the photon to make a full period. Consider an...
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    Trouble replicating a calculation in Silicon Nanoelectronics

    q = 1.60217657 × 10^-19 ϕ = 100 x 10^6 (qϕ)^1/2 ≈ 4 x 10^-6 2m* = 0.4 * 9.10938291×10^ −31 ≈ 3.64 x 10^-31 ħ^2 = (1.05457173 × 10^-34)^2 ≈ 1,1 x 10^-68 (2m*/ħ^2 )^1/2 ≈ 5.75 x 10^18 -2 * 5.75 x 10^18 * 4 x 10^-6 ≈ -4.6 x 10^(13) 10^-3 = exp[-4.6 x 10^(13)d] ln(10^-3) = -4.6 x 10^(13)d d ≈...
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    Trouble replicating a calculation in Silicon Nanoelectronics

    That's what I tought, too: It must be a sloppy mistake by the author (it is written this way by the author). I don't know what I'm doing wrong, but I can't really show you anything insightful. I just plugged in the numbers into the formula, and my calculator keeps giving me 0 as the answer.
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    Trouble replicating a calculation in Silicon Nanoelectronics

    Trouble replicating a calculation in "Silicon Nanoelectronics" I'm reading the textbook "Silicon Nanoelectronics" and I've encountered an equation for the transmission probability, which you can see among the attachments. In this equation, T is the transmission probability for a...
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