Abstract
Qualitative features of the Manakov top are discussed for the classical and quantum versions of the problem. Energy-momentum diagram for this integrable classical problem and quantum joint spectrum of two commuting observables for associated quantum problem are analyzed. It is demonstrated that the evolution of the specially chosen quantum cell through the joint quantum spectrum can be defined for paths which cross singular strata. The corresponding quantum monodromy transformation is introduced.
| Original language | English |
|---|---|
| Article number | 046 |
| Journal | Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) |
| Volume | 3 |
| DOIs | |
| Publication status | Published - 2007 |
| Externally published | Yes |
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Keywords
- Energy-momentum diagram
- Manakov top
- Monodromy
ASJC Scopus subject areas
- Analysis
- Geometry and Topology
- Mathematical Physics
Cite this
Qualitative analysis of the classical and quantum Manakov top. / Sinitsyn, Evguenii; Zhilinskii, Boris.
In: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), Vol. 3, 046, 2007.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Qualitative analysis of the classical and quantum Manakov top
AU - Sinitsyn, Evguenii
AU - Zhilinskii, Boris
PY - 2007
Y1 - 2007
N2 - Qualitative features of the Manakov top are discussed for the classical and quantum versions of the problem. Energy-momentum diagram for this integrable classical problem and quantum joint spectrum of two commuting observables for associated quantum problem are analyzed. It is demonstrated that the evolution of the specially chosen quantum cell through the joint quantum spectrum can be defined for paths which cross singular strata. The corresponding quantum monodromy transformation is introduced.
AB - Qualitative features of the Manakov top are discussed for the classical and quantum versions of the problem. Energy-momentum diagram for this integrable classical problem and quantum joint spectrum of two commuting observables for associated quantum problem are analyzed. It is demonstrated that the evolution of the specially chosen quantum cell through the joint quantum spectrum can be defined for paths which cross singular strata. The corresponding quantum monodromy transformation is introduced.
KW - Energy-momentum diagram
KW - Manakov top
KW - Monodromy
UR - http://www.scopus.com/inward/record.url?scp=84889234662&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84889234662&partnerID=8YFLogxK
U2 - 10.3842/SIGMA.2007.046
DO - 10.3842/SIGMA.2007.046
M3 - Article
VL - 3
JO - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
JF - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
SN - 1815-0659
M1 - 046
ER -