Zobrazeno 1 - 10
of 114
pro vyhledávání: '"Aste, Andreas"'
Autor:
Aste, Andreas
A simple proof of Euler's formula which states that the sum of the reciprocals of all natural numbers squared equals $\pi^2/6$ is presented based on the distribution theory introduced by Laurent Schwartz. Additional identities are obtained as a bypro
Externí odkaz:
http://arxiv.org/abs/2102.10542
Autor:
Aste, Andreas
The concept of spontaneous symmetry breaking (SSB) generally lacks a simple and intuitive introduction in the literature. This gap is filled by defining SSB in a universal context beyond its usual applications in physics and by discussing some very s
Externí odkaz:
http://arxiv.org/abs/2010.12475
Autor:
Aste, Andreas
This paper addresses the question why quantum mechanics is formulated in a unitary Hilbert space, i.e. in a manifestly complex setting. Investigating the linear dynamics of real quantum theory in a finite-dimensional Euclidean Hilbert space hints at
Externí odkaz:
http://arxiv.org/abs/1905.12894
Autor:
Aste, Andreas
Publikováno v:
LHEP 2 (2019) no.2, 4
For decades, a lot of work has been devoted to the problem of constructing a non-trivial quantum field theory in four-dimensional space time. This letter addresses the attempts to construct an algebraic quantum field theory in the framework of non-st
Externí odkaz:
http://arxiv.org/abs/1901.10601
Autor:
Aste, Andreas
A concise point kinetic model of the explosion of a prompt supercritical sphere driven by a nuclear fission chain reaction is presented. The findings are in good agreement with the data available for Trinity, the first detonation of a nuclear weapon
Externí odkaz:
http://arxiv.org/abs/1606.01670
Autor:
Aste, Andreas
Publikováno v:
Symmetry 2016, 8(9), 87
A self-contained derivation of the formalism describing Weyl, Majorana and Dirac fields from a unified perspective is given based on a concise description of the representation theory of the proper orthochronous Lorentz group. Lagrangian methods play
Externí odkaz:
http://arxiv.org/abs/1605.00146
Autor:
Aste, Andreas, Frensel, Maik
Localization properties of scalar single particle states are analyzed by explicit calculational examples with a focus on the massless case. Problems arising from the non-existence of relativistic particle position operators respecting the causal stru
Externí odkaz:
http://arxiv.org/abs/1510.05106
Autor:
Aste, Andreas
The Gelfand pattern of the reduction of the N-fold tensor product of the fundamental representation of the special unitary group SU(2) by itself is studied in the framework of a finite Heisenberg model with infinite range, where N spins couple to eac
Externí odkaz:
http://arxiv.org/abs/1502.00844
Autor:
Aste, Andreas
Publikováno v:
Symmetry 2014, 6(4), 1037-1057
Fundamental problems of quantum field theory related to the representation problem of canonical commutation relations are discussed within a gauge field version of a van Hove-type model. The Coulomb field generated by a static charge distribution is
Externí odkaz:
http://arxiv.org/abs/1407.1509
Autor:
Aste, Andreas
Publikováno v:
Mitt. Naturforsch. Ges. beider Basel 15 (2014) 35-50
Symmetries are playing a very prominent role in natural sciences. In mathematics as the language of physics, symmetries are treated within the framework of group theory, which provides the tools to classify natural laws and physical objects like elem
Externí odkaz:
http://arxiv.org/abs/1407.0478