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Titlebook: An Axiomatic Basis for Quantum Mechanics; Volume 1 Derivation Günther Ludwig Book 1985 Springer-Verlag Berlin Heidelberg 1985 Mechanics.Sp

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期刊全称An Axiomatic Basis for Quantum Mechanics
期刊简称Volume 1 Derivation
影响因子2023Günther Ludwig
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图书封面Titlebook: An Axiomatic Basis for Quantum Mechanics; Volume 1 Derivation  Günther Ludwig Book 1985 Springer-Verlag Berlin Heidelberg 1985 Mechanics.Sp
影响因子This book is the first volume of a two-volume work, which is an improved version of a preprint [47] published in German. We seek to deduce the funda­ mental concepts of quantum mechanics solely from a description of macroscopic devices. The microscopic systems such as electrons, atoms, etc. must be detected on the basis of the macroscopic behavior of the devices. This detection resembles the detection of the dinosaurs on the basis offossils. In this first volume we develop a general description of macroscopic systems by trajectories in state spaces. This general description is a basis for the special de­ scription of devices consisting of two parts, where the first part is acting on the second. The microsystems are discovered as systems transmitting the action. Axioms which describe general empirical structures of the interactions between the two parts of each device, give rise to a derivation of the Hilbert space structure of quantum mechanics. Possibly, these axioms (and consequently the Hilbert space structure) may fail to describe other realms than the structure of atoms and mole­ cules, for instance the "elementary particles". This book supplements ref. [2]. Both together not
Pindex Book 1985
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发表于 2025-3-22 00:09:23 | 显示全部楼层
he funda­ mental concepts of quantum mechanics solely from a description of macroscopic devices. The microscopic systems such as electrons, atoms, etc. must be detected on the basis of the macroscopic behavior of the devices. This detection resembles the detection of the dinosaurs on the basis offos
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,Representation of ℬ, ℬ’ by Banach Spaces of Operators in a Hilbert Space,th the set of self-adjoint operators of the trace class and ℬ’. with the set. of all bounded, self-adjoint operators, so that . (.) = tr (.). Then Kν is the set of all operators . ∈ ℬ. with . ≧ 0, tr(.)= 1, while L. is the set of all operators . ∈ ℬ’. with . ≦.≦
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Die Methode der finiten Elemente preparator. That this is difficult is shown not only by the uncertainty if introducing the concept observable via the “correspondence principle” (see [1] XI § 1.7), but in particular by the fact that one has not yet used the concept of preparator and for this reason encountered great difficulties with the Einstein-Podolski-Rosen paradox.
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