Geometry of torus bundles in integrable Hamiltonian systems

Olga Lukina

Geometry of torus bundles in integrable Hamiltonian systems

Olga Lukina

Research output: Thesis › Thesis fully internal (DIV)

792 Downloads (Pure)

Abstract

Thesis is concerned with global properties of Lagrangian bundles, i.e. symplectic n-torus bundles, as these occur in integrable Hamiltonian systems. It treats obstructions to triviality and concerns with classification of such bundles, as well as with manifestations of global invariants in real-world examples of classical and quantum systems.

Original language	English
Qualification	Doctor of Philosophy
Supervisors/Advisors	Broer, H.W., Supervisor, External person
Award date	3-Jan-0001
Place of Publication	Groningen
Publisher	s.n.
Print ISBNs	9789036735445
Publication status	Published - 2008

Keywords

Proefschriften (vorm)
Hamilton-vergelijkingen, Integreerbaarheid,
Deeltjesbundels, Vezels (wiskunde), Invarianten, Lagrange fu
meetkunde: algemeen

Access to Document

00-titlecon.pdfFinal publisher's version, 45.1 KB
01-acknowl.pdfFinal publisher's version, 41.1 KB
02-introd.pdfFinal publisher's version, 328 KB
03-contents.pdfFinal publisher's version, 63.2 KB
04-c1.pdfFinal publisher's version, 314 KB
05-c2.pdfFinal publisher's version, 2.12 MB
06-append.pdfFinal publisher's version, 250 KB
07-summary.pdfFinal publisher's version, 63.9 KB
08_samenvat.pdfFinal publisher's version, 63.8 KB
09-bibliogr.pdfFinal publisher's version, 123 KB
thesis.pdfFinal publisher's version, 2.53 MB

Cite this

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title = "Geometry of torus bundles in integrable Hamiltonian systems",

abstract = "Thesis is concerned with global properties of Lagrangian bundles, i.e. symplectic n-torus bundles, as these occur in integrable Hamiltonian systems. It treats obstructions to triviality and concerns with classification of such bundles, as well as with manifestations of global invariants in real-world examples of classical and quantum systems.",

keywords = "Proefschriften (vorm), Hamilton-vergelijkingen, Integreerbaarheid,, Deeltjesbundels, Vezels (wiskunde), Invarianten, Lagrange fu, meetkunde: algemeen",

author = "Olga Lukina",

note = "Relation: http://www.rug.nl/ date_submitted:2008 Rights: University of Groningen",

year = "2008",

language = "English",

isbn = "9789036735445",

publisher = "s.n.",

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TY - THES

T1 - Geometry of torus bundles in integrable Hamiltonian systems

AU - Lukina, Olga

N1 - Relation: http://www.rug.nl/ date_submitted:2008 Rights: University of Groningen

PY - 2008

Y1 - 2008

N2 - Thesis is concerned with global properties of Lagrangian bundles, i.e. symplectic n-torus bundles, as these occur in integrable Hamiltonian systems. It treats obstructions to triviality and concerns with classification of such bundles, as well as with manifestations of global invariants in real-world examples of classical and quantum systems.

AB - Thesis is concerned with global properties of Lagrangian bundles, i.e. symplectic n-torus bundles, as these occur in integrable Hamiltonian systems. It treats obstructions to triviality and concerns with classification of such bundles, as well as with manifestations of global invariants in real-world examples of classical and quantum systems.

KW - Proefschriften (vorm)

KW - Hamilton-vergelijkingen, Integreerbaarheid,

KW - Deeltjesbundels, Vezels (wiskunde), Invarianten, Lagrange fu

KW - meetkunde: algemeen

M3 - Thesis fully internal (DIV)

SN - 9789036735445

PB - s.n.

CY - Groningen

ER -