Recent content by deuteron

  1. deuteron

    Undergrad 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

    Undergrad 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

    Undergrad 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

    Undergrad 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

    Undergrad 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

    Undergrad 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

    Undergrad Motivation behind the Operator-Formalism in QM

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

    Undergrad 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

    Undergrad 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

    Undergrad 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

    Undergrad 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

    Undergrad 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

    Undergrad Green's function boundary conditions

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

    Undergrad 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...