Recent content by charlesmartin14

  1. charlesmartin14

    How to compute the surface an N-sphere using delta functions

    No I was thinking more to use a relation like $$\delta[g(x)]=\dfrac{\delta(x-x_{0})}{|g'(x)|_{x=x_{0}}}$$ or maybe the simpler relation $$\delta[(x^{2}-a^{2})]=\dfrac{1}{2|a|}[\delta(x+a)+\delta(x-a)]$$ so that we can reduce...
  2. charlesmartin14

    How to compute the surface an N-sphere using delta functions

    ∫dJδ(J2-N)≈exp(N/2(1+ln2π)) The area of an N-sphere goes like 2πN/2 so I know this is close but I am haven't remembered the trick yet how to get the exact result
  3. charlesmartin14

    How to compute the surface an N-sphere using delta functions

    Problem Statement: I am trying to understand how to compute the surface an N-sphere , for large N, to leading order (and exactly) Given a vector J with norm N, with N large, how does one compute the volume integral ? That is, what representation of the delta function. And what is the exact...
  4. charlesmartin14

    A What Other Phenomena Involve Nuclear Excitations Coupling with Lattice Phonons?

    Mossbauer spectroscopy is an example of a nuclear (de)excitation coupling to a lattice phonons Are there any other examples of this phenomena ?
  5. charlesmartin14

    B In Fermi V-A theory, where does the Weak Interaction occur

    Whatever the experimentalists tell me their best estimate it. The nuclear radius can be estimated using a simple formula R\sim A^{\frac{1}{3}} where A is the Atomic mass number. I am asking how the Fermi VA theory is typically used in very detailed calculations.
  6. charlesmartin14

    B In Fermi V-A theory, where does the Weak Interaction occur

    The Lagrangian contains a 'contact potential' , which Fermi assumed is a contact coupling of two vector currents. (prior to when parity breaking was discovered. This is now part of the Standard Model, in some cryptic form. IMHO, you can not see it obviously in the Lagrangian until you specify...
  7. charlesmartin14

    B In Fermi V-A theory, where does the Weak Interaction occur

    Where is the electron-nucleon interaction? On the surface of the nucleus, or at the origin (R-0) ?
  8. charlesmartin14

    I Do Fermi and Gamow-Teller transitions only refer to isospin

    Do Fermi and Gamow-Teller transitions only refer to changes in isospin , as in beta decay and orbital electron capture
  9. charlesmartin14

    A Is beta decay a weak charge-current processes?

    Im try to understand this paper http://citeseerx.ist.psu.edu/vie... and see if I correctly understand which processes are charge-current processes, and which are charge neutral, as listed in Figure 1. Thanks
  10. charlesmartin14

    Help with derivation of two-body relativistic cross section

    Thanks ! That makes perfect sense. this is a great forum
  11. charlesmartin14

    Help with derivation of two-body relativistic cross section

    I am trying to derive the 2+2 body relativisitic cross section, as given in https://web2.ph.utexas.edu/~schwitte/PHY362L/QMnote.pdf a+b -> c+d I want the form of the cross section dσ/dΩ ~ 1/((v_i)(v_f)) I am stuck on step (13)-(14) and I don't understand why d√s/dp_f=v_f Here, s is the...
  12. charlesmartin14

    Help with derivation of two-body relativistic cross section

    Homework Statement I am trying to derive the 2 body cross section, as given in https://web2.ph.utexas.edu/~schwitte/PHY362L/QMnote.pdf dσ/dΩ Homework Equations I am stuck on d√s/dp=v where √s=(Ea+Eb)=E The Attempt at a Solution p=Ev (relativisitic energy-momentum relationship) √s=E...
  13. charlesmartin14

    What is Relativistic Theory and Why is it Important for Scientists?

    I have a PhD in Theoretical chemistry and did my postdoctoral work in the Theoretical Bio/Physics group. I am finally getting around to learning some relativisitic theory.
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