Recent content by Jd_duarte

  1. Jd_duarte

    I Orthonormal Basis of Wavefunctions in Hilbert Space

    I think I see now what I failed to see, the discrete approach does not simplify, it is the source of the problem. I still didn't get this 100%, why is there a closure relation? What is the need to express a basis that is orthonormal for every continuous value?
  2. Jd_duarte

    I Orthonormal Basis of Wavefunctions in Hilbert Space

    Hello, I've a fundamental question that seems to keep myself confused about the mathematics of quantum mechanics. For simplicity sake I'll approach this in the discrete fashion. Consider the countable set of functions of Hilbert space, labeled by i\in \mathbb{N} . This set \left...
    • Jd_duarte
    • Thread
    • Basis Hilbert Hilbert space Orthonormal basis Space Wavefunctions
    • Replies: 2
    • Forum: Quantum Physics
  3. Jd_duarte

    I Hermitian Operator Proof - Question

    Hi, I am questioning about this specific proof -https://quantummechanics.ucsd.edu/ph130a/130_notes/node134.html. Why to do this proof is needed to compute the complex conjugate of the expectation value of a physical variable? Why can't we just start with < H\psi \mid \psi > ?
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