Generalized Stäckel systems
Result description
We consider the generalized Stäckel systems, the broadest class of integrable Hamiltonian systems that admit separation of variables and possess separation relations affine in the Hamiltonians. For these systems we construct in a systematic fashion hierarchies of basic separable potentials. Moreover, we show how the equations of motion for the systems under study are related through appropriately chosen reciprocal transformations and how the respective constants of motion are related through generalizedStäckel transforms.
Keywords
generalized Stäckel systemsintegrable Hamiltonian systemsseparation of variablesreciprocal transformationsgeneralized Stäckel transforms
The result's identifiers
Result code in IS VaVaI
Result on the web
http://www.sciencedirect.com/science/article/pii/S0375960111006554
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Generalized Stäckel systems
Original language description
We consider the generalized Stäckel systems, the broadest class of integrable Hamiltonian systems that admit separation of variables and possess separation relations affine in the Hamiltonians. For these systems we construct in a systematic fashion hierarchies of basic separable potentials. Moreover, we show how the equations of motion for the systems under study are related through appropriately chosen reciprocal transformations and how the respective constants of motion are related through generalizedStäckel transforms.
Czech name
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Czech description
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Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physics Letters A
ISSN
0375-9601
e-ISSN
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Volume of the periodical
375
Issue of the periodical within the volume
27
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
7
Pages from-to
2617-2623
UT code for WoS article
000292472800006
EID of the result in the Scopus database
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Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BA - General mathematics
Year of implementation
2011