Journal article
Hierarchical structure in the Trace Formula
- Abstract:
- Guztwiller’s Trace Formula is central to the semiclassical theory of quantum energy levels and spectral statistics in classically chaotic systems. Motivated by recent developments in Random Matrix Theory and Number Theory, we elucidate a hierarchical structure in the way periodic orbits contribute to the Trace Formula that has implications for the value distribution of spectral determinants in quantum chaotic systems.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Version of record, pdf, 954.6KB, Terms of use)
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- Publisher copy:
- 10.1088/1751-8121/ac82d6
Authors
- Publisher:
- IOP Publishing
- Journal:
- Journal of Physics A: Mathematical and Theoretical More from this journal
- Volume:
- 55
- Article number:
- 364001
- Publication date:
- 2022-08-11
- Acceptance date:
- 2022-07-20
- DOI:
- EISSN:
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1751-8121
- ISSN:
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1751-8113
- Language:
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English
- Keywords:
- Pubs id:
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1268804
- Local pid:
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pubs:1268804
- Deposit date:
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2022-07-20
- ARK identifier:
Terms of use
- Copyright holder:
- Jon Keating
- Copyright date:
- 2022
- Rights statement:
- © 2022 The Author(s). Published by IOP Publishing Ltd. Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
- Licence:
- CC Attribution (CC BY)
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