Details
| Original language | English |
|---|---|
| Pages (from-to) | 4931-4986 |
| Number of pages | 56 |
| Journal | Annales Henri Poincare |
| Volume | 25 |
| Issue number | 11 |
| Early online date | 14 Feb 2024 |
| Publication status | Published - Nov 2024 |
Abstract
Keywords
- math-ph, math.MP, math.OA, quant-ph
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In: Annales Henri Poincare, Vol. 25, No. 11, 11.2024, p. 4931-4986.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Convergence of Dynamics on Inductive Systems of Banach Spaces
AU - van Luijk, Lauritz
AU - Stottmeister, Alexander
AU - Werner, Reinhard F.
N1 - Comments welcome
PY - 2024/11
Y1 - 2024/11
N2 - Many features of physical systems, both qualitative and quantitative, become sharply defined or tractable only in some limiting situation. Examples are phase transitions in the thermodynamic limit, the emergence of classical mechanics from quantum theory at large action, and continuum quantum field theory arising from renormalization group fixed points. It would seem that few methods can be useful in such diverse applications. However, we here present a flexible modeling tool for the limit of theories: soft inductive limits constituting a generalization of inductive limits of Banach spaces. In this context, general criteria for the convergence of dynamics will be formulated, and these criteria will be shown to apply in the situations mentioned and more.
AB - Many features of physical systems, both qualitative and quantitative, become sharply defined or tractable only in some limiting situation. Examples are phase transitions in the thermodynamic limit, the emergence of classical mechanics from quantum theory at large action, and continuum quantum field theory arising from renormalization group fixed points. It would seem that few methods can be useful in such diverse applications. However, we here present a flexible modeling tool for the limit of theories: soft inductive limits constituting a generalization of inductive limits of Banach spaces. In this context, general criteria for the convergence of dynamics will be formulated, and these criteria will be shown to apply in the situations mentioned and more.
KW - math-ph
KW - math.MP
KW - math.OA
KW - quant-ph
UR - http://www.scopus.com/inward/record.url?scp=85185136871&partnerID=8YFLogxK
U2 - 10.1007/s00023-024-01413-6
DO - 10.1007/s00023-024-01413-6
M3 - Article
VL - 25
SP - 4931
EP - 4986
JO - Annales Henri Poincare
JF - Annales Henri Poincare
SN - 1424-0637
IS - 11
ER -