Maslov indices and monodromy

HR Dullin; JM Robbins; H Waalkens; SC Creagh; G Tanner

Maslov indices and monodromy

HR Dullin, JM Robbins, H Waalkens, SC Creagh, G Tanner

Research output: Contribution to journal › Article (Academic Journal) › peer-review

2 Citations (Scopus)

Abstract

We prove that for a Hamiltonian system on a cotangent bundle that is Liouville-integrable and has monodromy the vector of Maslov indices is an eigenvector of the monodromy matrix with eigenvalue 1. As a corollary, the resulting restrictions on the monodromy matrix are derived.

Translated title of the contribution	Maslov indices and monodromy
Original language	English
Pages (from-to)	L443 - L447
Journal	Journal of Physics A: Mathematical and General
Volume	38 (24)
Publication status	Published - 17 Jun 2005

Bibliographical note

Publisher: IOP Publishing Ltd
Other identifier: IDS Number: 947WJ

Cite this

@article{1c93ab563c934329bb1c569f3decfc5c,

title = "Maslov indices and monodromy",

abstract = "We prove that for a Hamiltonian system on a cotangent bundle that is Liouville-integrable and has monodromy the vector of Maslov indices is an eigenvector of the monodromy matrix with eigenvalue 1. As a corollary, the resulting restrictions on the monodromy matrix are derived.",

author = "HR Dullin and JM Robbins and H Waalkens and SC Creagh and G Tanner",

note = "Publisher: IOP Publishing Ltd Other identifier: IDS Number: 947WJ ",

year = "2005",

month = jun,

day = "17",

language = "English",

volume = "38 (24)",

pages = "L443 -- L447",

journal = "Journal of Physics A: Mathematical and General",

issn = "0305-4470",

publisher = "IOP Publishing",

}

TY - JOUR

T1 - Maslov indices and monodromy

AU - Dullin, HR

AU - Robbins, JM

AU - Waalkens, H

AU - Creagh, SC

AU - Tanner, G

N1 - Publisher: IOP Publishing Ltd Other identifier: IDS Number: 947WJ

PY - 2005/6/17

Y1 - 2005/6/17

N2 - We prove that for a Hamiltonian system on a cotangent bundle that is Liouville-integrable and has monodromy the vector of Maslov indices is an eigenvector of the monodromy matrix with eigenvalue 1. As a corollary, the resulting restrictions on the monodromy matrix are derived.

AB - We prove that for a Hamiltonian system on a cotangent bundle that is Liouville-integrable and has monodromy the vector of Maslov indices is an eigenvector of the monodromy matrix with eigenvalue 1. As a corollary, the resulting restrictions on the monodromy matrix are derived.

M3 - Article (Academic Journal)

VL - 38 (24)

SP - L443 - L447

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

SN - 0305-4470

ER -

Maslov indices and monodromy

Abstract

Bibliographical note

Fingerprint

Cite this