4.6 Article

A Family of Semitoric Systems with Four Focus-Focus Singularities and Two Double Pinched Tori

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Mathematics

Symplectic invariants of semitoric systems and the inverse problem for quantum systems

Alvaro Pelayo

Summary: The article introduces the classification and construction of invariants for simple semitoric systems, as well as their applications in quantum integrable systems and inverse problems. It also discusses the method of computing invariants in the spectrum and addresses an unsolved question related to semitoric systems in this direction.

INDAGATIONES MATHEMATICAE-NEW SERIES (2021)

Article Mathematics, Applied

Symplectic classification of coupled angular momenta

Jaume Alonso et al.

NONLINEARITY (2020)

Article Mathematics, Applied

Taylor series and twisting-index invariants of coupled spin-oscillators

Jaume Alonso et al.

JOURNAL OF GEOMETRY AND PHYSICS (2019)

Article Mathematics, Applied

Minimal models of compact symplectic semitoric manifolds

D. M. Kane et al.

JOURNAL OF GEOMETRY AND PHYSICS (2018)

Article Mathematics, Applied

A FAMILY OF COMPACT SEMITORIC SYSTEMS WITH TWO FOCUS-FOCUS SINGULARITIES

Sonja Hohloch et al.

JOURNAL OF GEOMETRIC MECHANICS (2018)

Article Mathematics, Applied

FROM COMPACT SEMI-TORIC SYSTEMS TO HAMILTONIAN S-1-SPACES

Sonja Hohloch et al.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2015)

Article Mathematics

NORMALISATION OF THE SMOOTH FOCUS-FOCUS: A SIMPLE PROOF

Marc Chaperon

ACTA MATHEMATICA VIETNAMICA (2013)

Article Mathematics

SMOOTH NORMAL FORMS FOR INTEGRABLE HAMILTONIAN SYSTEMS NEAR A FOCUS-FOCUS SINGULARITY

San Vu Ngoc et al.

ACTA MATHEMATICA VIETNAMICA (2013)

Article Mathematics

Constructing integrable systems of semitoric type

Alvaro Pelayo et al.

ACTA MATHEMATICA (2011)

Article Mathematics

Semitoric integrable systems on symplectic 4-manifolds

Alvaro Pelayo et al.

INVENTIONES MATHEMATICAE (2009)

Article Mathematics

Moment polytopes for symplectic manifolds with monodromy

Vu Ngoc San

ADVANCES IN MATHEMATICS (2007)

Article Mathematics

Equivariant normal form for nondegenerate singular orbits of integrable Hamiltonian systems

E Miranda et al.

ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE (2004)

Article Physics, Multidisciplinary

L-p norms of eigenfunctions in the completely integrable case

JA Toth et al.

ANNALES HENRI POINCARE (2003)