Home News About Us Contact Contributors Disclaimer Privacy Policy Help FAQ

Home
Search
Quick Search
Advanced
Fulltext
Browse
Collections
Persons
My eDoc
Session History
Login
Name:
Password:
Documentation
Help
Support Wiki
Direct access to
document ID:


          Display Documents



  history
ID: 372116.0, MPI für Gravitationsphysik / Quantum Gravity and Unified Theories
Exceptional points in quantum and classical dynamics
Authors:Smilga, Andrei V.
Date of Publication (YYYY-MM-DD):2009
Title of Journal:Journal of Physics A: Mathematical and Theoreticaljournal of Physics A: Mathematical and Theoretical
Volume:42
Issue / Number:9
Sequence Number of Article:095301
Review Status:not specified
Audience:Not Specified
Abstract / Description:We notice that, when a quantum system involves exceptional points, i.e. the special values of parameters where the Hamiltonian loses its self-adjointness and acquires the Jordan block structure, the corresponding classical system also exhibits a singular behaviour associated with restructuring of classical trajectories. The system with the crypto-Hermitian Hamiltonian H = (p2+z2)/2 -igz5 and hyper-ellictic classical dynamics is studied in details. Analogies with supersymmetric Yang-Mills dynamics are elucidated.
External Publication Status:published
Document Type:Article
Communicated by:Hermann Nicolai
Affiliations:MPI für Gravitationsphysik/Quantum Gravity and Unified Theories
Identifiers:LOCALID:arXiv:0808.0575
URL:http://lanl.arxiv.org/abs/0808.0575
ISSN:1751-8113
DOI:10.1088/1751-8113/42/9/095301
Full Text:
You have privileges to view the following file(s):
0808.0575v1.pdf  [149,00 Kb] [Comment:arXiv:0808.0575v1 [math-ph]]  
 
a9_9_095301.pdf  [137,00 Kb] [Comment:Online Journal]  
 
The scope and number of records on eDoc is subject to the collection policies defined by each institute - see "info" button in the collection browse view.