Recent content by P3X-018

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    Undergrad When does Newton's Gravitation fail us?

    Then please enlighten us on how gravity interacts with massless particles. Are you sure light is assumed to be massless for that statement? "Bodies in free fall" already assumes mass.
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    Undergrad When does Newton's Gravitation fail us?

    You can't bend a trajectory without a force. The acceleration is just the result of the force between the bodies attracting each other. Gravity doesn't affect massless particles in the classical mechanics.
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    Graduate Angular momentum and hydrogens atom

    Both of these wavefunctions can't be normalized, since they still have the same functional form. I think that's what nrqed was referring to, so that they are equivalent, when you normalize them.
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    Transition Probability | Bransden & Joachain | 4.38 & 4.39 Dimension

    http://books.google.com/books?id=AEkfajgqldoC&printsec=frontcover&dq=Rodney+Loudon&hl=da#PPA54,M1" avoids this problem by taking the sum over frequencies first after squaring the amplitude, but he still mentions, after eq. (2.3.11), that the integral should be over the excitation amplitudes. How...
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    Transition Probability | Bransden & Joachain | 4.38 & 4.39 Dimension

    But it's supposed to be dimensionless like the probability, hence must have the same dimensions. EDIT: Ok to make it more clear, then (4.38) has the form c_b = \int_0^{\infty} f(\omega) \, d\omega while (4.39) has the form |c_b|^2 = \int_0^{\infty} |f(\omega)|^2 \, d\omega which...
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    Transition Probability | Bransden & Joachain | 4.38 & 4.39 Dimension

    Cyosis: Yes they are supposed to be dimensionless, but I just looked at the difference between the 2 expressions. Note that every term from (4.38) appears squared in (4.39) except for the d\omega term which has the same power in both, hence (4.39) is short by a factor of 1/sec.
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    Transition Probability | Bransden & Joachain | 4.38 & 4.39 Dimension

    At page 190 of Bransden & Joachain (see the page from http://books.google.com/books?id=i5IPWXDQlcIC&printsec=frontcover&dq=B.+H.+Bransden,+Charles+Jean+Joachain&hl=da#PPA190,M1"), there are 2 expressions for the transition probability, (4.38) and it's absolute value squared in (4.39). Is it...
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    Graduate Does Beam Interference Depend on Longitudinal Distance Post-Beamsplitter?

    I know that the coherence is one issue, but since the coherence length is so long due to the narrow linewidth of the laser, that the effects due to this can be ignored (coherence function being equated to 1), provided the optical path difference stays less than the coherence length. That's also...
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    Graduate Does Beam Interference Depend on Longitudinal Distance Post-Beamsplitter?

    By sending part of the initial beam through a resonator and filtering out a desired mode.
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    Graduate Does Beam Interference Depend on Longitudinal Distance Post-Beamsplitter?

    The beams come from the same source, and the optical path difference is much less than the coherence length of the laser. Though the 2 beams don't have exactly the same parameters (slightly different waist and waist location), and the two beams are different modes (one is TEM_00 the other...
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    Graduate Does Beam Interference Depend on Longitudinal Distance Post-Beamsplitter?

    If you have 2 laser beams, A and B, at right angle with each other, that you send towards a beamsplitter (BS), such that you get 2 output beams from the BS, one being the sum of the reflected part of A and transmitted part of B, and the other the transmitted part of A and reflected part of B...
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    Optics Books: Help Finding Good Books for Quantum Computing

    I was also looking for a book on quantum optics. I have Loudon's text, but it doesn't seem to be going into big details with the topics covered (reasonable, given the size of it), though it does seem like an excellent starting point. So I was considering a book with a more advanced treatment...
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    Which textbook is the best for learning laser physics?

    I'm looking for a textbook on laser physics. I'm considering either Lasers by Siegman or same title by Eberly & Milonni. I want a textbook more directed to a physicist and not the more engineering style, which may lack rigour (from the physics point of view). I'm not very comfortable with books...
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    Solution: Prove Sum of Fourier Coefficients of a C2π Function is Finite

    I kept looking at the wrong inner product to use CS on, that is that inner product of L_2, but I should look at the inner product of \ell_2 space. So by using that (replacing the minus sign with + in the afore mentioned equation for c_n(f)) \sum_{n\in\mathbb{Z}}|c_n(f)| \leq c_0(f) +...
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    Solution: Prove Sum of Fourier Coefficients of a C2π Function is Finite

    [SOLVED] Fourier coefficients Homework Statement For f \in C^{2\pi}\cap C^1[-\pi,\pi] , I have to show that \sum_{n\in\mathbb{Z}}|c_n(f)| < \infty where c_n(f) is the Fourier coefficient of f; c_n(f) = (f, e_n) = \frac{1}{2\pi}\int_{-\pi}^{\pi} f(t)e^{-int}\,dt f \in...