Scattering monodromy and the A 1 singularity

• Autorzy: Larry Bates , Richard Cushman
• Języki publikacji: EN

Abstrakty

EN

We present the notion of scattering monodromy for a two degree of freedom hyperbolic oscillator and apply this idea to determine the Picard-Lefschetz monodromy of the isolated singular point of a quadratic function of two complex variables.

Słowa kluczowe

EN

scattering theory; Hamiltonian mechanics

Kategorie tematyczne

• 70E40: Integrable cases of motion

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2007
• Tom: 5
• Numer: 3
• Strony: 429-451

Daty

wydano

2007-09-01

online

2007-09-01

Twórcy

autor

Larry Bates

• University of Calgary

autor

Richard Cushman

• University of Utrecht

Bibliografia

• [1] R. Cushman and L. Bates: Global aspects of classical integrable systems, Birkhäuser, Basel, 1997.
• [2] J.J. Duistermaat: “On global action angle coordinates”, Commun. Pure Appl. Math., Vol. 33, (1980), pp. 687–706. http://dx.doi.org/10.1002/cpa.3160330602
• [3] H. Flaschka: “A remark on integrable Hamiltonian systems”, Phys. Lett. A., Vol. 121, (1988), pp. 505–508. http://dx.doi.org/10.1016/0375-9601(88)90678-0
• [4] E. Looijenga: Isolated singularities on complete intersections, Cambridge University Press, Cambridge, U.K., 1984.
• [5] J. Milnor: Singularities of complex hypersurfaces, Princeton University Press, Princeton, 1968.
• [6] J. Stillwell: Classical Topology and Combinatorial Group Theory, Graduate Texts in Mathematics, Vol. 72, Springer Verlag, Berlin, 1980.
• [7] J.L. Synge: “Classical Dynamics”, In: S. Flugge (Ed.): Encyclopedia of Physics, Vol. III/1 Principles of Classical Mechanics and Field Theory, Springer Verlag, Berlin, 1960, pp. 1–225.

Identyfikatory

DOI

10.2478/s11533-007-0022-4