Aufsatz in einer Fachzeitschrift
An evolutionary algorithm to calculate the ground state of a quantum system



Details zur Publikation
Autor(inn)en:
Grigorenko, I.; Garcia, M.
Verlag:
ELSEVIER SCIENCE BV
Publikationsjahr:
2000
Zeitschrift:
Physica A: Statistical Mechanics and its Applications
Seitenbereich:
131-139
Jahrgang/Band:
284
Erste Seite:
131
Letzte Seite:
139
Seitenumfang:
9
ISSN:
0378-4371

Zusammenfassung, Abstract
We present a new method based on evolutionary algorithms which permits to determine efficiently the ground state of the time-independent Schrodinger equation for arbitrary external potentials. The approach relies on the variational principle. The ground-state wave function of a given Hamiltonian is found by using the procedure of survival of the fittest, starting from a population of wave functions. To perform the search for the fittest wave function we have extended a genetic algorithm to treat quantum mechanical problems. We present results for different one dimensional external potentials and compare them with analytical solutions and with other numerical methods. Our approach yields very good convergence in all cases, Potential applications of the quantum genetic algorithm presented here to more dimensions and many-body problems are discussed. (C) 2000 Elsevier Science B.V. All rights reserved.


Schlagwörter
genetic algorithms, quantum mechanics


Autor(inn)en / Herausgeber(innen)

Zuletzt aktualisiert 2019-25-07 um 15:59