Calculation of the partition function using quantum genetic algorithms

I Grigorenko and M.e Garcia

Physica A: Statistical Mechanics and its Applications, 2002, vol. 313, issue 3, 463-470

Abstract: We present a new method based on genetic algorithms which permits to determine efficiently the partition function and the excitation spectrum of few-body quantum systems. In our approach, we use a variational formulation for the partition function Z of the system as a functional of its eigenfunctions. Z is obtained by applying the procedure of survival of the fittest, starting from initial random population. During the evolution the best representative converges to a set of eigenfunctions for a given Hamiltonian, while the partition function attains its global extremum (maximum) for a given temperature. We calculate the spectrum and the partition function in the case of few interacting particles in one-dimensional infinite potential well. We investigate formation of the Wigner crystal and study its melting induced by termal and quantum fluctuations.

Keywords: Genetic algorithms; Partition function; Wigner molecule (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:313:y:2002:i:3:p:463-470

DOI: 10.1016/S0378-4371(02)00988-3

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