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  • Proving Indefiniteness of a Quadratic Form on a Subspace | V - gt; R
    I have a problem with this question: let q : V -> R is quadratic form and suppose T = {v|q(v) \\geq 0} is subspace of V prove that q is indefinite Thanks in advance
  • Definiteness of a nonsymmetric matrix • Physics Forums
    Asymmetry results in independent mixed terms which can be used to prove indefiniteness Can you please elaborate a bit? Wouldn't the process I mentioned above apply i e making the matrix symmetric first and then use the usual procedure?
  • Can Photons Interfere After Passing Through a Calcite Crystal?
    The discussion centers on an experiment described in Nick Herbert's "Quantum Reality," where photons passing through a calcite crystal are separated by polarization but can still exhibit wave-like interference, suggesting they do not take a specific path Participants explore the implications of this behavior, comparing it to the double slit experiment, and emphasize that the interaction with
  • What Are SL (2,C) and SO (1,3) in Lorentz Transformations?
    For the quaternionic symplectic groups you can also have indefiniteness in the form hence you may see references to Sp (p,n) which like the unitary groups are actually real in the sense I described earlier One other point The groups themselves are abstractions independent of the actual matrix representation you use
  • How Does Landau Justify the Additivity of Lagrangians in Isolated . . .
    The additive property, however, removes this indefiniteness, since it admits only the simultaneous multiplication of the Lagrangians of all the systems by the same constant " which is also unclear
  • Best books on Quantum Foundations? - Physics Forums
    The discussion centers on the search for the best books on quantum theory (QT) foundations, highlighting the challenges in finding comprehensive and up-to-date texts Participants note a significant gap between intermediate and advanced literature, with many existing books being outdated, often lacking coverage of recent developments such as the PBR theorem, contextuality, and modern
  • One thing cannot be in two places at the same time
    In the microscopic realm we observe probability amplitudes and indefiniteness of position OK, but the macroscopic equivalent doesn't have to be the same My personal suspicion is that superposition in macroscopic realm leads just to low temperature and nothing else
  • The Pros and Cons of Bohmian Mechanics - Physics Forums
    Anyway, the point is: how this consistency with the HUP comes about in Bohm's theory is rather interesting and subtle, because the "uncertainties" in general refer not to any kind of objective indefiniteness in the initial state, but simply to our ignorance about the precise state -- in this case, our ignorance of the position of the particle





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