Recent content by harpf

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    Relativistic speed of a particle

    Thank you. I appreciate the help.
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    Relativistic speed of a particle

    Homework Statement Find the speed of a particle whose total energy is twice its rest energy. Homework Equations E2 = p2c2 +m2c4 The Attempt at a Solution 4m2c4 = p2c2 +m2c4 3m2c4 = p2c2 SQRT(3)mc2 = pc SQRT(3)mc = p SQRT(3)mc = mv SQRT(3)c = v I know I can use E = gamma*mc2 to get the...
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    Sum of the angles of a spherical triangle

    Homework Statement What is the sum of the angles of a spherical triangle formed on the surface of a sphere of radius R? The triangle is formed by the intersections of the arcs of great circles. Let A be the area of the surface of the sphere enclosed by the triangle. This question is a...
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    Derivative of the Product of Two Functions: Applying the Chain Rule

    Homework Statement take the derivative of a(t) = b(t)c(t) Homework Equations chain rule The Attempt at a Solution Apply the chain rule: a'(t) = c(t)b'(t) + b(t)c'(t) Is this correct? Thank you.
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    Feynman field transformations

    I appreciate your response. Thank you.
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    Feynman field transformations

    I have attached additional information in the hope that someone will kindly point out the error in my thinking.
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    Feynman field transformations

    I'm trying to follow Feynman's explanation on page 26-10 of Volume 2 of The Feynman Lectures on Physics. He describes the electric and magnetic fields in a FoR S' moving between the plates of a condenser. Feynman writes that we see a reduced E and an added transverse B in S'. I've attached a...
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    How Does Feynman Normalize CII in the Ammonia Molecule States?

    That’s really helpful. The fog begins to lift. Thanks again. I now realize the difference between < II | Φ >, which is CII, and < II | 1 >, which is the product of | 1 > and < II |. Also, < II | = | II >* = CII*. No, I can’t say I see what you mean about the matrix elements (although...
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    How Does Feynman Normalize CII in the Ammonia Molecule States?

    Thank you for your response, M Quack, which is clear and helpful. If CII = < II | Φ >, I’m assuming I can substitute it for both < II | 1 > and < II | 2 >. You can see I’ve taken the same approach with C1 and C2. I suspect to go further I may have to use C1 = C2 and possibly C1*, which I am...
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    How Does Feynman Normalize CII in the Ammonia Molecule States?

    I'm trying to follow Feynman's explanation on page 9-3 of Volume 3 of The Feynman Lectures on Physics. I've attached a copy of the section in question. To normalize CII he notes that < II | II > = < II | 1 >< 1 | II > + < II | 2 >< 2 | II > = 1 I am not clear how he derives the conclusion...
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