Saturday, April 4, 2009

Another approach for Quantum statistics

I am not really aware of the existance of this view.
I will try my best to put in words:
(i) As temperature does not appear directly into either of the quantum views formally put by Heisenberg, Schrodinger, Dirac, (Though the discovery of the Quanta by planck was driven by the Black Body Radiation), to obatin the mathematical forms of  the eigenfunctions, wavefunctions, and quantum indices.
(ii) What changes with the temeprature is the occupancy nature of the obtained quantum indices for fermions and bosons.
(iii) Now lets think of a quantum system with many body system (in the sense it really requires a traditional quantum analysis way using either Bose or Fermi statistics to descirbe it). And we want to describe the dynamical observables and consequently their functions and consequences. We do not opt for statistical way, rather we solve it numerically(atleast 4 computational cores required) by one of the formal ways mentioned in the (i) point, to obatin the total eigenfunctions and states of the system. Once we are done, we evaluate the different energy configurations (0-to Inf) and count, for the distinguishable states, the set of bodies' distribution for corresponding config. With this analysis a parameter  would be extracted, which we will call it later on The Temperature.  

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