An operator approach to Poisson brackets (original) (raw)

The Poisson bracket compatible with the classical reflection equation algebra

Andrey Tsiganov

Regular and Chaotic Dynamics, 2008

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On covariant Poisson brackets in classical field theory

Michael Forger

Journal of Mathematical Physics, 2015

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Quantization and Dynamisation of Trace-Poisson Brackets

Jean Avan

Communications in Mathematical Physics, 2015

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A family of the Poisson brackets compatible with the Sklyanin bracket

Andrey Tsiganov

Journal of Physics A: Mathematical and Theoretical, 2007

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A generalized Poisson bracket and an associated natural one-form

Tony Sudbery

Mathematical proceedings of the Cambridge Philosophical Society, 1977

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Poisson Brackets on Lie Algebras

Дмитрий (Dmitri) Алексеевский (Alekseevsky)

1995

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Poisson Brackets of Even Symplectic Forms on the Algebra of Differential Forms

José Antonio Vallejo

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The algebra of Poisson brackets

Paolo Caressa

2012

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A Poisson bracket on multisymplectic phase space

Michael Forger

Reports on Mathematical Physics, 2001

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Generalized n-Poisson brackets on a symplectic manifold

G. Marmo

1999

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Dynamics of generalized Poisson and Nambu–Poisson brackets

David Martín de Diego

Journal of Mathematical Physics, 1997

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Covariant Poisson Brackets in Geometric Field Theory

Michael Forger

Communications in Mathematical Physics, 2005

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The Poisson Bracket for Poisson Forms in Multisymplectic Field Theory

Michael Forger

Reviews in Mathematical Physics, 2003

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Classification of compatible Lie-Poisson brackets on the manifold e*(3)

Andrey Tsiganov

Journal of Mathematical Sciences, 2007

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A general construction of Poisson brackets on exact multisymplectic manifolds

Michael Forger

2002

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Covariant poisson brackets for classical fields

Philip S Morrison

Annals of Physics, 1986

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On Gauge Poisson Brackets with Prescribed Symmetry

Misael Avendaño Camacho

arXiv (Cornell University), 2023

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Double quasi-Poisson brackets : fusion and new examples

Maxime Fairon

Algebras and Representation Theory , 2021

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Non-equal-time Poisson brackets

Hrvoje Nikolic

1998

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On the Leibniz bracket, the Schouten bracket and the Laplacian

Bartolome Coll

Journal of Mathematical Physics, 2004

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Algebraic and geometric aspects of generalized quantum dynamics

Yong-shi Wu

Physical Review D, 1994

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Some remarks on quantization, Poisson brackets, and an exact quantum reformulation of classical dynamics

Kingsley Jones

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On a Poisson space of bilinear forms with a Poisson Lie action

Leonid Chekhov

2014

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Compatible Poisson brackets, quadratic Poisson algebras and classical r-matrices

vladimir roubtsov

Differential Equations - Geometry, Symmetries and Integrability, 2009

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Non-antisymmetric versions of Nambu-Poisson and algebroid brackets

G. Marmo

Journal of Physics A: Mathematical and General, 2001

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Poisson algebra of differential forms

Pei-ming Ho

International Journal of Modern Physics A, 1997

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Classification and Casimir invariants of Lie–Poisson brackets

Philip S Morrison

Physica D: Nonlinear Phenomena, 2000

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DYNAMICAL ASPECTS OF LIE-POISSON STRUCTURES

Giuseppe Marmo

Modern Physics Letters A, 1993

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From Poisson to quantum geometry

Nicola Ciccoli

Lecture Notes, available at http://toknotes. …, 2006

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Peierls brackets in theoretical physics

Giampiero Esposito

2002

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