Professor Sardar Singh

General knowledge:      1. What is the world made of!  
2. At a fundamental constituent level, a particle particle which does not exhibit weak interactions, does not have rest mass
Problems - HEP(What are these problems?)  
    1. Discuss Feynman-Stuckelberg interpretation of negative energy solutions of a free particle Klein-Gorden equation
2. Obtain expression for the amplitude of transition from a  state |i> to a state |f> under the action of a perturbation V(x) 
    3. An electron is interacting with an EM field. Identify the interaction potential appearing in the transition amplitude for |i> to |f>
    4. Consider an electron-like spin 0 particle in an EM field. Identify the interation potential appearing in the transition amplitude for |i> to |f>
   5. Imagine only EM interactions in electron muon scattering. Let the electron is interactig with the EM field whose source is muon. What is the nature of this EM field?
    6. Consider electron muon scattering (e + mu  -->  e + mu). Write the transition amplitude. Draw Feynman diagram in configuration space. Identify the invariant amplitude and draw the Feynman diagram in momentum space.
    7. Consider scattering of electron-like spin 0 particle and muon-like spin 0 particle. Determine the invariant amplitude.
    8. Define differential scattering cross section and obtain its expression in terms of invariant amplitude, incident flux  and phase space factors (consider two particle scattering)
    9. For two particle scattering A + B  -->  C + D, find in CM frame the Lorentz invariant phase space factor and the incident flux factor 
   10. Consider the decay A  -->  1 + 2 + 3 + ......+ n. Express the decay rate in terms of the invariant amplitude. What is its expression for A  -->  1 + 2 .
    11. Define Mandelstam variables  s, t, u. What is s + t + u ?
    12. Consider s-channel electron positron scattering. Find s, t, u variables in the CM frame. Find bounds on s, t, u.
   13. In CM system, find differential scattering cross section for very high energy "spin-less" electron muon scattering.
    14. Establish Gordan decomposition
    15. State and verify (I) the contraction properties and (II) trace theorems for gamma matrices

Physics Lab
Nuclear Phys Lab- some questions and answers

Determination of coefficient of rigidity as a function of temperature using torsion oscillator (resonance method)

Study the temperature dependence of resistance of a semiconductor (Four probe method)

Recommended Articles: Tensors

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