Zobrazeno 1 - 10
of 225
pro vyhledávání: '"81S99"'
Autor:
Calaque, Damien, Carmona, Victor
By the introduction of locally constant prefactorization algebras at a fixed scale, we show a mathematical incarnation of the fact that observables at a given scale of a topological field theory propagate to every scale over euclidean spaces. The key
Externí odkaz:
http://arxiv.org/abs/2407.18192
Autor:
Reddiger, Maik
It is a common view that von Neumann laid the foundations of a "quantum probability theory" with his axiomatization of quantum mechanics (QM). As such, it is regarded a generalization of the "classical probability theory" due to Kolmogorov. Outside o
Externí odkaz:
http://arxiv.org/abs/2405.05710
Autor:
Feintzeig, Benjamin H., Steeger, Jer
Hilbert bimodules are morphisms between C*-algebraic models of quantum systems, while symplectic dual pairs are morphisms between Poisson geometric models of classical systems. Both of these morphisms preserve representation-theoretic structures of t
Externí odkaz:
http://arxiv.org/abs/2403.08060
Autor:
de Saxcé, Géry, Marle, Charles-Michel
Jean-Marie Souriau's book ''Structure des syst\`emes dynamiques'', published in 1970, republished recently by Gabay, translated in English and published under the title ''Structure of Dynamical Systems, a Symplectic View of Physic'', is a work with a
Externí odkaz:
http://arxiv.org/abs/2306.03106
Autor:
Klein, Ulf
Publikováno v:
Quantum Stud.:Math.Found.(2024)11:717-737
As was recently shown, non-relativistic quantum theory can be derived by means of a projection method from a continuum of classical solutions for (massive) particles. In this paper we show that Maxwell's equations in empty space can be derived using
Externí odkaz:
http://arxiv.org/abs/2304.11380
In this article, we study a commutative Banach algebra structure on the space $L^1(\mathbb{R}^{2n})\oplus \mathcal{T}^1$, where the $\mathcal{T}^1$ denotes the trace class operators on $L^2(\mathbb{R}^{n})$. The product of this space is given by the
Externí odkaz:
http://arxiv.org/abs/2301.09384
Autor:
Geisler, Jakob
In this paper, a key problem of the rigorous formulation of the renormalization group as a continuous flow is identified. Some essential features of the operator-theoretic renormalization group are recalled, and a family of norms associated to differ
Externí odkaz:
http://arxiv.org/abs/2211.00351
In this article we study two-dimensional Dirac Hamiltonians with non-commutativity both in coordinates and momenta from an algebraic perspective. In order to do so, we consider the graded Lie algebra $\mathfrak{sl}(2|1)$ generated by Hermitian biline
Externí odkaz:
http://arxiv.org/abs/2205.00898
Autor:
Klein, Ulf
As part of a probabilistic reconstruction of quantum theory (QT), we show that spin is not a purely quantum mechanical phenomenon, as has long been assumed. Rather, this phenomenon occurs before the transition to QT takes place, namely in the area of
Externí odkaz:
http://arxiv.org/abs/2202.13364
Autor:
Klein, Ulf
This work is based on the idea that the classical counterpart of quantum theory (QT) is not mechanics but probabilistic mechanics. We therefore choose the theory of statistical ensembles in phase space as starting point for a reconstruction of QT. Th
Externí odkaz:
http://arxiv.org/abs/2202.13356