Recent content by Bill_K

  1. Bill_K

    A Solution to the wave equation in Rindler coordinates

    In both cases, you haven't written the general solution, what you've written is a complete set of particular solutions, two different sets in Minkowski and Rindler coordinates. The general solution of the two-dimensional wave equation can be written f(x - t) + g(x + t) where f and g are...
  2. Bill_K

    SU_L x SU_R and SU_V x SU_A equivalence

    For what it's worth, to produce a pointer to an individual post like this, right click on the "#6" and Copy Link Location: https://www.physicsforums.com/showpost.php?p=3819325&postcount=6
  3. Bill_K

    Trying to understand the WKB approximation

    Those conditions insure that the WKB approximation will be valid locally, e.g. one cycle, but maybe not globally. The exponential growth in amplitude is a global effect, taking place gradually over many cycles. Another idea - traditional WKB is the first term in a series. You might try...
  4. Bill_K

    Exploring Orbital Angular Momentum & Magnetic Moments

    It's not just a point. An elementary particle with spin is described by a multicomponent quantity (spinor, vector, etc) at that point, and under a rotation the components go into linear combinations of each other. In QM, if an object changes under rotations, that is exactly what we mean by...
  5. Bill_K

    Trying to understand the WKB approximation

    How about this paper: http://audiophile.tam.cornell.edu/randpdf/slowpas2.pdf
  6. Bill_K

    Pauli exclusion, symmetry, and electric repulsion

    It's called the Spin-Statistics Theorem, and it's an absolutely fundamental result in QFT. Half-integer spin particles must be fermions, and integer spin particles must be bosons. QM is totally different in this respect from classical physics. The difference makes itself evident in...
  7. Bill_K

    Large Body Orbiting a Small One?

    The center of mass of the solar system is sometimes inside the sun, sometimes outside, depending mainly on whether Jupiter and Saturn are currently on the same or opposite sides.
  8. Bill_K

    Negating the need for anything actually solid

    Posting a private, speculative theory to PF, in violation of our guidelines.
  9. Bill_K

    Problem with shell model and magnetic moment of Lithium-6

    Li-6 is an odd-odd nucleus, and therefore the magnetic moments predicted by the shell model are not in complete agreement with experiment. Quoting from Preston, "Physics of the Nucleus", p323: "Turning to odd-odd nuclides, the shell model would suggest simply adding the magnetic moments due to...
  10. Bill_K

    What is intrinsic time-dependence in the Schrödinger picture?

    Here's an example. Say an atom has the Hamiltonian H = H0. It's a function of whatever internal atomic variables you want to use, H(p, q) say. Put the atom in a uniform external electric field and the Hamiltonian becomes H = H0 + Ez. Npw suppose the electric field is time varying, E = E0 cos...
  11. Bill_K

    At most explicit time-dependent operator

    Usually, but not always. https://en.wikipedia.org/wiki/Heisenberg_picture#Mathematical_details
  12. Bill_K

    At most explicit time-dependent operator

    The Heisenberg equation of motion is ##\frac{dO_H}{dt} = \frac{i}{\hbar}[H_H, O_H] + \frac{\partial O_S}{\partial t}##. I think he's saying, keep the ##\frac{\partial O_S}{\partial t}## term.
  13. Bill_K

    At most explicit time-dependent operator

    A bit more context would help.
  14. Bill_K

    The Cause of Inertia: Exploring Different Theories and Their Implications

    "Musing", i.e. speculation, is always fun, yogi, especially since it doesn't require any math and hardly any physics. But here on PF, according to the Global Rules and Guidelines, we discuss only mainstream physics. Which the ideas you express above certainly are not.
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