Details
| Original language | English |
|---|---|
| Title of host publication | From Chemistry to Consciousness |
| Subtitle of host publication | The Legacy of Hans Primas |
| Editors | Harald Atmanspacher, Ulrich Müller-Herold |
| Publisher | Springer International Publishing AG |
| Pages | 45-70 |
| Number of pages | 26 |
| ISBN (electronic) | 9783319435732 |
| ISBN (print) | 9783319435725 |
| Publication status | Published - Sept 2016 |
Abstract
Hans Primas’ work on the conceptual and mathematical foundations of quantum mechanics is remarkable in many aspects. It is conceptually deeply rooted in rigorous and abstract mathematics developed by von Neumann, Mackey, Wigner, Weyl and others, and yet aims to explain the allegedly simple, like "molecules". But the classical world of localized objects in space and time is, as we know, extremely hard to reconcile with quantum mechanics. Mathematical rigor may be suspected to go along with conceptual clarity, though this is not automatically guaranteed. An important notion in this attempt to understand the quantum-to-classical transition is that of a superselection rule. Inmycontribution I recall some issues and developments surrounding this notion, some of which I had the pleasure to discuss with Hans Primas. I hope to show that these discussions touch upon some epistemological points of wider interest in connection with applying mathematics to the physical and sensual world.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
- Chemistry(all)
- General Chemistry
- Chemical Engineering(all)
- General Chemical Engineering
- Psychology(all)
- General Psychology
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From Chemistry to Consciousness: The Legacy of Hans Primas. ed. / Harald Atmanspacher; Ulrich Müller-Herold. Springer International Publishing AG, 2016. p. 45-70.
Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research
}
TY - CHAP
T1 - Superselection Rules
AU - Giulini, Domenico
PY - 2016/9
Y1 - 2016/9
N2 - Hans Primas’ work on the conceptual and mathematical foundations of quantum mechanics is remarkable in many aspects. It is conceptually deeply rooted in rigorous and abstract mathematics developed by von Neumann, Mackey, Wigner, Weyl and others, and yet aims to explain the allegedly simple, like "molecules". But the classical world of localized objects in space and time is, as we know, extremely hard to reconcile with quantum mechanics. Mathematical rigor may be suspected to go along with conceptual clarity, though this is not automatically guaranteed. An important notion in this attempt to understand the quantum-to-classical transition is that of a superselection rule. Inmycontribution I recall some issues and developments surrounding this notion, some of which I had the pleasure to discuss with Hans Primas. I hope to show that these discussions touch upon some epistemological points of wider interest in connection with applying mathematics to the physical and sensual world.
AB - Hans Primas’ work on the conceptual and mathematical foundations of quantum mechanics is remarkable in many aspects. It is conceptually deeply rooted in rigorous and abstract mathematics developed by von Neumann, Mackey, Wigner, Weyl and others, and yet aims to explain the allegedly simple, like "molecules". But the classical world of localized objects in space and time is, as we know, extremely hard to reconcile with quantum mechanics. Mathematical rigor may be suspected to go along with conceptual clarity, though this is not automatically guaranteed. An important notion in this attempt to understand the quantum-to-classical transition is that of a superselection rule. Inmycontribution I recall some issues and developments surrounding this notion, some of which I had the pleasure to discuss with Hans Primas. I hope to show that these discussions touch upon some epistemological points of wider interest in connection with applying mathematics to the physical and sensual world.
UR - http://www.scopus.com/inward/record.url?scp=85006512018&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-43573-2_4
DO - 10.1007/978-3-319-43573-2_4
M3 - Contribution to book/anthology
AN - SCOPUS:85006512018
SN - 9783319435725
SP - 45
EP - 70
BT - From Chemistry to Consciousness
A2 - Atmanspacher, Harald
A2 - Müller-Herold, Ulrich
PB - Springer International Publishing AG
ER -