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dc.contributor.author
Öttinger, Hans Christian
dc.date.accessioned
2019-01-04T11:52:47Z
dc.date.available
2018-12-21T18:25:35Z
dc.date.available
2019-01-04T11:52:47Z
dc.date.issued
2018-12-19
dc.identifier.issn
2399-6528
dc.identifier.other
10.1088/2399-6528/aaf6f2
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/313159
dc.identifier.doi
10.3929/ethz-b-000313159
dc.description.abstract
We consider a class of Lagrangians that depend not only on some configurational variables and their first time derivatives, but also on second time derivatives, thereby leading to fourth-order evolution equations. The proposed higher-order Lagrangians are obtained by expressing the variables of standard Lagrangians in terms of more basic variables and their time derivatives. The Hamiltonian formulation of the proposed class of models is obtained by means of the Ostrogradsky formalism. The structure of the Hamiltonians for this particular class of models is such that constraints can be introduced in a natural way for eliminating expected instabilities of the fourth-order evolution equations. Moreover, canonical quantization of the constrained equations can be achieved by means of Dirac's approach to generalized Hamiltonian dynamics.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
Institute of Physics (IOP)
en_US
dc.rights.uri
http://creativecommons.org/licenses/by/3.0/
dc.subject
Classical mechanics
en_US
dc.subject
Classical field theory
en_US
dc.subject
Hamiltonian formulation of fourth-order equations
en_US
dc.subject
Stability
en_US
dc.subject
Constraints
en_US
dc.subject
Ostrogradsky formalism
en_US
dc.subject
Higher derivative theories
en_US
dc.title
Hamiltonian formulation of a class of constrained fourth-order differential equations in the Ostrogradsky framework
en_US
dc.type
Journal Article
dc.rights.license
Creative Commons Attribution 3.0 Unported
ethz.journal.title
Journal of Physics Communications
ethz.journal.volume
2
en_US
ethz.journal.issue
12
en_US
ethz.journal.abbreviated
J. Phys. Commun.
ethz.pages.start
125006
en_US
ethz.size
11 p.
en_US
ethz.version.deposit
publishedVersion
en_US
ethz.publication.place
Bristol
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02160 - Dep. Materialwissenschaft / Dep. of Materials::02646 - Institut für Polymere / Institute of Polymers::03359 - Oettinger, Christian / Oettinger, Christian
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02160 - Dep. Materialwissenschaft / Dep. of Materials::02646 - Institut für Polymere / Institute of Polymers::03359 - Oettinger, Christian / Oettinger, Christian
en_US
ethz.date.deposited
2018-12-21T18:25:38Z
ethz.source
FORM
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2019-01-04T11:52:55Z
ethz.rosetta.lastUpdated
2021-02-15T03:12:56Z
ethz.rosetta.versionExported
true
ethz.COinS
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