Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

A The analytical linear tetrahedron method?

  1. Oct 17, 2017 #1
    The pioneering work by G. Lehmann, M. Taut, please see the attached files or download from wiley
    On the Numerical Calculation of the Density of States and Related Properties,
    http://onlinelibrary.wiley.com/doi/10.1002/pssb.2220540211/abstract

    The question is how the middle line of Eq. (3.9) can be derived?
    i.e. why f(ε)=f0-f1

    intuitively, it is wrong.




     

    Attached Files:

  2. jcsd
  3. Oct 22, 2017 #2
    From the second condition in the function of energy the range is clear that Δε1<=ε<=Δε2

    Therefore, the order of energy becomes Δε0 <= Δε1 <= ε <= Δε2 <= Δε3

    The function of the energy must be positive and by experimental and theoretical formulations the function of energy is given by

    f(ε)=f0-f1

    U can verify it by giving some positive energy values to Δε0, Δε1, ε, Δε2, Δε3 in the order of energy
     
  4. Oct 22, 2017 #3
    @Jonath Thank you very much for your reply. I will reconsider the problem according to your suggestion
     
  5. Oct 27, 2017 #4
    Need further suggestions and hints
     
  6. Nov 4, 2017 #5
    I finally understand, I am so stupid and ridiculous.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted