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The Universal Arrow of Time II: Quantum mechanics case
Quantum mechanics The Universal Arrow of Time chaotic macroscopic systems classical Hamilton mechanics
2011/7/7
The given paper is natural continuation of our previous paper arXiv:1011.4173 We have illustrated earlier, that in the classical Hamilton mechanics for an overwhelming majority of real chaotic macrosc...
Many-particle mechanics with D(2,1;alpha) superconformal symmetry
Many-particle mechanics superconformal symmetry
2011/3/3
We overcome the barrier of constructing N=4 superconformal models in one space dimension for
more than three particles. The D(2, 1; ) superalgebra of our systems is realized on the coordinates and m...
Isoradial graphs are a natural generalization of regular graphs which give,for many models of statistical mechanics, the right framework for studying models at criticality.
While real Hamiltonian mechanics and Hermitian quantum mechanics can both be cast in the framework of complex canonical equations, their complex generalisations have hitherto remained tangential.
Kahler-Einstein metrics emerging from free fermions and statistical mechanics
Kahler-Einstein metrics free fermions statistical mechanics
2010/12/15
We propose a statistical mechanical derivation of Kähler-Einstein1 metrics, i.e. solutions to Einstein’s vacuum field equations in Euclidean sig-nature (with a cosmological constant) on a compact...
Entropic Fluctuations in Statistical Mechanics I. Classical Dynamical Systems
Entropic Fluctuations Statistical Mechanics I. Classical Dynamical Systems
2010/12/8
Within the abstract framework of dynamical system theory we describe a general approach to the
Transient (or Evans-Searles) and Steady State (or Gallavotti-Cohen) Fluctuation Theorems of non-equilibr...
Quantum Statistical Mechanics, L-series and Anabelian Geometry
Arithmetic equivalence quantum statistical mechanics Bost-Connes system anabelian geometry
2010/11/29
It is known that two number fields with the same Dedekind zeta function are not necessarily
isomorphic. The zeta function of a number field can be interpreted as the partition function of
an associa...