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Recursive formulas for partition functionsRecursive formulas for partition functions
(2012-03-29)
A family of functions, which share many properties with the classical partition function p(n), is studied. It is explained why these functions may be called “partition functions” and, in particular, some recursive formulas ...
Recursive formulas for partition functionsRecursive formulas for partition functions
(2012-03-29)
A family of functions, which share many properties with the classical partition function p(n), is studied. It is explained why these functions may be called “partition functions” and, in particular, some recursive formulas ...
Analysis of Tsallis’ classical partition function's poles
(Elsevier Science, 2017-12)
When one integrates the q-exponential function of Tsallis’ so as to get the partition function Z, a gamma function inevitably emerges. Consequently, poles arise. We investigate here the thermodynamic significance of these ...
A new approach and generalizations to some results about mock theta functions
(Elsevier Science BvAmsterdamHolanda, 2011)
Resolving the partition function's paradox of the hydrogen atom
(Elsevier Science, 2019-08)
Our protagonist here is the electronic contribution to the canonical ensemble partition
function of the hydrogen atom. It is well known that it poses an intriguing paradox,
(Blinder, 1995). We attempt to solve it by ...
A simple way of approximating the canonical partition functions in statistical mechanics
(IOP Publishing, 2015-09)
We propose a simple pedagogical way of introducing the Euler-MacLaurin summation formula in an undergraduate course on statistical mechanics. The reason is that the students may feel more comfortable and confident if they ...
Determination of energies and electronic densities of functional groups according to partitionings in the physical space
(American Chemical Society, 2008-10)
This work formulates our previously reported partitionings of the first-order reduced density matrix and the molecular electronic energy using for both quantities an identical mathematical framework. The procedure provides ...
THE PARTITION-FUNCTION FOR AN ANYON-LIKE OSCILLATOR
(Iop Publishing Ltd, 1995-01-07)
We compute the partition function of an anyon-like harmonic oscillator. The well known results for both the bosonic and fermionic oscillators are then re-obtained as particular cases of our function. The technique we employ ...
THE PARTITION-FUNCTION FOR AN ANYON-LIKE OSCILLATOR
(Iop Publishing Ltd, 1995-01-07)
We compute the partition function of an anyon-like harmonic oscillator. The well known results for both the bosonic and fermionic oscillators are then re-obtained as particular cases of our function. The technique we employ ...