Zobrazeno 1 - 10
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pro vyhledávání: '"Jan Naudts"'
Autor:
Jan Naudts
Publikováno v:
Frontiers in Physics, Vol 11 (2023)
The manifold under consideration consists of the faithful normal states on a sigma-finite von Neumann algebra in standard form. Tangent planes and approximate tangent planes are discussed. A relative entropy/divergence function is assumed to be given
Externí odkaz:
https://doaj.org/article/0635808533c341fb9e45d1469e2b7038
Autor:
Jan Naudts
Publikováno v:
Entropy, Vol 25, Iss 4, p 651 (2023)
A model of spacetime is presented. It has an extension to five dimensions, and in five dimensions the geometry is the dual of the Euclidean geometry w.r.t. an arbitrary positive-definite metric. Dually flat geometries are well-known in the context of
Externí odkaz:
https://doaj.org/article/504182c7cc294866b39b4ec0410d2b74
Autor:
Jan Naudts
Publikováno v:
Entropy, Vol 23, Iss 12, p 1668 (2021)
The present paper investigates the update of an empirical probability distribution with the results of a new set of observations. The update reproduces the new observations and interpolates using prior information. The optimal update is obtained by m
Externí odkaz:
https://doaj.org/article/321601bb1ee84277a4df59932ab99971
Autor:
Jan Naudts
Publikováno v:
Advances in High Energy Physics, Vol 2017 (2017)
A simple transformation of field variables eliminates Coulomb forces from the theory of quantum electrodynamics. This suggests that Coulomb forces may be an emergent phenomenon rather than being fundamental. This possibility is investigated in the co
Externí odkaz:
https://doaj.org/article/84d4516fafff48ada563e76d4f16f492
Autor:
Winny O'Kelly de Galway, Jan Naudts
Publikováno v:
Entropy, Vol 15, Iss 12, Pp 5121-5143 (2013)
We study the unitary time evolution of a simple quantum Hamiltonian describing two harmonic oscillators coupled via a three-level system. The latter acts as an engine transferring energy from one oscillator to the other and is driven in a cyclic mann
Externí odkaz:
https://doaj.org/article/b23ef1117dfb4981a5f96dfa5f150510
Autor:
Maarten Baeten, Jan Naudts
Publikováno v:
Entropy, Vol 13, Iss 6, Pp 1186-1199 (2011)
We give two arguments why the thermodynamic entropy of non-extensive systems involves R´enyi’s entropy function rather than that of Tsallis. The first argument is that the temperature of the configurational subsystem of a mono-atomic gas is equal
Externí odkaz:
https://doaj.org/article/7bb186b4d8f542c682cee081156203c2
Autor:
Jan Naudts
Publikováno v:
Entropy, Vol 20, Iss 10, p 796 (2018)
Section 4 of “Naudts J. Quantum Statistical Manifolds. Entropy 2018, 20, 472” contains errors. They have limited consequences for the remainder of the paper. A new version of this Section is found here. Some smaller shortcomings of the paper are
Externí odkaz:
https://doaj.org/article/55e309974cb343a29dddad931b43ffd6
Autor:
Jan Naudts
Publikováno v:
Entropy, Vol 20, Iss 6, p 472 (2018)
Quantum information geometry studies families of quantum states by means of differential geometry. A new approach is followed with the intention to facilitate the introduction of a more general theory in subsequent work. To this purpose, the emphasis
Externí odkaz:
https://doaj.org/article/a4138ef2f5a443dcb6c999e5408de2bb
Non-Extensivity of the Configurational Density Distribution in the Classical Microcanonical Ensemble
Autor:
Maarten Baeten, Jan Naudts
Publikováno v:
Entropy, Vol 11, Iss 2, Pp 285-294 (2009)
We show that the configurational probability distribution of a classical gas always belongs to the q-exponential family. One of the consequences of this observation is that the thermodynamics of the configurational subsystem is uniquely determined up
Externí odkaz:
https://doaj.org/article/5663d5a60b394adf942eccd43faecce1
Autor:
Jan Naudts
Publikováno v:
Entropy, Vol 10, Iss 3, Pp 131-149 (2008)
A generalised notion of exponential families is introduced. It is based on the variational principle, borrowed from statistical physics. It is shown that inequivalent generalised entropy functions lead to distinct generalised exponential families. Th
Externí odkaz:
https://doaj.org/article/41d233a5a8fe4559adcde5e4c8c462bb