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Phys. Rev. E 57, 1191–1192 (1998)

Quantum mechanics versus classical probability in biological evolution

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E. Baake
Zoologisches Institut, Luisenstrasse 14, D-80333 München, Germany

M. Baake and H. Wagner
Institut für Theoretische Physik, Universität Tübingen, Auf der Morgenstelle 14, D-72076 Tübingen, Germany

Received 18 June 1997; published in the issue dated January 1998

We reconsider the mean-field Hamiltonian of the Ising quantum chain as a mutation-selection model of biological evolution. Direct calculation of its Perron-Frobenius eigenvector reveals a fundamental difference between the quantum-mechanical and probabilistic applications, and partially corrects previous results.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.57.1191
DOI:
10.1103/PhysRevE.57.1191
PACS:
87.10.+e, 75.10.-b, 64.60.Cn, 05.50.+q