Recent content by deuteron

  1. deuteron

    I Weak Interaction Hamiltonian V-A Structure Derivation

    Hi! I am trying to come to the V-A structure of the weak interaction Hamiltonian, but I am having some issues with it. In Feynman & Gell-Mann 1958 paper, they argue that each particle field must be projected onto its left chiral component, which means: $$H=\displaystyle\sum_{i=S,V,T,A,P} C_i...
  2. deuteron

    Books on Weak Interaction

    Hi, I am interested in a mathematically relatively rigorous book on weak interaction. I am doing my thesis on neutron beta decay, and have a lot of questions about the CKM matrix, the historical development of the Lagrangian for the weak interaction preferably starting from the Fermi theory with...
  3. deuteron

    I Quasi-Elastic Scattering Peak-Shift

    We were told in my particle physics lectures that in a quasi-elastic scattering, in a diagram of scattered electron energy ##E'##-counts corresponding to an electron-nucleus scattering experiment at a fixed detector angle ##\theta##, we would have a peak corresponding to the electrons that have...
  4. deuteron

    I Using 4-derivative

    Hi! I am trying to understand the object ##\partial^\mu##, and wanted to check if the result I am getting below is true. The definition of ##\partial_\mu## is: $$\partial_\mu = ( \frac \partial {\partial x^0} , \frac \partial {\partial x^1}, \frac \partial {\partial x^2},\frac \partial...
  5. deuteron

    I Physical Difference Between Co- and Contravariant Vectors

    Hi, today I have asked a very similar question on the topic, however now my question is more specific and focused, therefore I wanted to ask this again. From the following thread, Nugatory's answer, I understood that some physical quantities need to be described by contravariant vectors, such...
  6. deuteron

    I Co- and Contravariance

    In case you write that Insight, can you please also explain what makes the d'Alembert operator "relativistic" and different from the classical ##\frac 1 c \frac {\partial^2}{\partial t^2}-\Delta## that we have in the "classical" wave equation?..
  7. deuteron

    I Co- and Contravariance

    Hi, I am very confused about the mathematics related to special relativity. I have understood, that a four-vector with an upper index has the form: $$A^\mu = (A^0 , A^1, A^2, A^3)$$ where lowering the index would make the indices other than the ##0##th negative: $$A_\mu = (A_0, -A^1, -A^2...
  8. deuteron

    I Motivation behind the Operator-Formalism in QM

    thank you! this was exactly what I was trying to understand!
  9. deuteron

    I Motivation behind the Operator-Formalism in QM

    I have a problem understanding the motivation behind why all observables are represented via a hermitian operator. I understand that from the eigenvalue equation $$ \hat A\ket{\psi} = A_i\ket{\psi}$$ after requiring that the eigenvalues be real, the operator ##\hat A## needs to be hermitian...
  10. deuteron

    I Material Waves and Wave Functions

    So let me rephrase what I have understood so far: The Dirac / Schrödinger equations describe a wave function, ##\psi## which corresponds to a wave of the electron field. The excitations of the electron field "are" (?) the electrons, and when the electrons are measured, the wave collapses to a...
  11. deuteron

    I Material Waves and Wave Functions

    Thank you! Is the differential equation you mentioned the Schrödinger equation? Otherwise I don't understand what SCH eqn. has to do with the experiment.
  12. deuteron

    I Material Waves and Wave Functions

    But it still is the interference of the probability density function, not the particle itself, isn't it? I understand from the phrase "wave-like nature of the electron" that the electron itself behaves like a wave, just like photons or water waves; but the experiment doesn't show that, it...
  13. deuteron

    I Material Waves and Wave Functions

    In Griffith's page 7, the following is mentioned: What confuses me here the most is the first sentence: "Particles have a wave nature, encoded in ##\psi##" As far as I have understood, the square of the amplitude of the wave function gives us the probability of finding a function at a...
  14. deuteron

    I Green's function boundary conditions

    I have found the answer in Jackson, section 1.10 page 18
  15. deuteron

    I Expansion of 1/|x-x'| into Legendre Polynomials

    we know that we can expand the following function in Legendre polynomials in the following way in the script given yo us by my professor, ##\frac 1 {|\vec x -\vec x'|}## is expanded using geometric series in the following way: However, I don't understand how ##\frac 1 {|\vec x -\vec...
Back
Top