An Axiomatic Basis for Quantum Mechanics: Volume 1 Derivation of Hilbert Space Structure
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1985
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| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 only give an extensive foundation of quantum mechanics but also a solution in principle of the measuring problem |
| Beschreibung: | 1 Online-Ressource (X, 246 p) |
| ISBN: | 9783642700293 9783642700316 |
| DOI: | 10.1007/978-3-642-70029-3 |
Internformat
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Datensatz im Suchindex
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| author | Ludwig, Günther |
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| dewey-ones | 530 - Physics |
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| discipline | Physik |
| doi_str_mv | 10.1007/978-3-642-70029-3 |
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| id | DE-604.BV042413428 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:20:52Z |
| institution | BVB |
| isbn | 9783642700293 9783642700316 |
| language | English |
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| publishDate | 1985 |
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| publisher | Springer Berlin Heidelberg |
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| spelling | Ludwig, Günther Verfasser aut An Axiomatic Basis for Quantum Mechanics Volume 1 Derivation of Hilbert Space Structure by Günther Ludwig Berlin, Heidelberg Springer Berlin Heidelberg 1985 1 Online-Ressource (X, 246 p) txt rdacontent c rdamedia cr rdacarrier 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 only give an extensive foundation of quantum mechanics but also a solution in principle of the measuring problem Physics Quantum theory Quantum Physics Quantum Information Technology, Spintronics Quantentheorie https://doi.org/10.1007/978-3-642-70029-3 Verlag Volltext |
| spellingShingle | Ludwig, Günther An Axiomatic Basis for Quantum Mechanics Volume 1 Derivation of Hilbert Space Structure Physics Quantum theory Quantum Physics Quantum Information Technology, Spintronics Quantentheorie |
| title | An Axiomatic Basis for Quantum Mechanics Volume 1 Derivation of Hilbert Space Structure |
| title_auth | An Axiomatic Basis for Quantum Mechanics Volume 1 Derivation of Hilbert Space Structure |
| title_exact_search | An Axiomatic Basis for Quantum Mechanics Volume 1 Derivation of Hilbert Space Structure |
| title_full | An Axiomatic Basis for Quantum Mechanics Volume 1 Derivation of Hilbert Space Structure by Günther Ludwig |
| title_fullStr | An Axiomatic Basis for Quantum Mechanics Volume 1 Derivation of Hilbert Space Structure by Günther Ludwig |
| title_full_unstemmed | An Axiomatic Basis for Quantum Mechanics Volume 1 Derivation of Hilbert Space Structure by Günther Ludwig |
| title_short | An Axiomatic Basis for Quantum Mechanics |
| title_sort | an axiomatic basis for quantum mechanics volume 1 derivation of hilbert space structure |
| title_sub | Volume 1 Derivation of Hilbert Space Structure |
| topic | Physics Quantum theory Quantum Physics Quantum Information Technology, Spintronics Quantentheorie |
| topic_facet | Physics Quantum theory Quantum Physics Quantum Information Technology, Spintronics Quantentheorie |
| url | https://doi.org/10.1007/978-3-642-70029-3 |
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