Relevant bibliographies by topics / Poisson brackets / Books
To see the other types of publications on this topic, follow the link: Poisson brackets.

Books on the topic 'Poisson brackets'

Author: Grafiati
Published: 4 June 2021
Last updated: 14 March 2023

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 15 books for your research on the topic 'Poisson brackets.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse books on a wide variety of disciplines and organise your bibliography correctly.

1

Voronov, Theodore, ed. Quantization, Poisson Brackets and Beyond. Providence, Rhode Island: American Mathematical Society, 2002. http://dx.doi.org/10.1090/conm/315.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Karasev, M. V. Nonlinear Poisson brackets: Geometry and quantization. Providence, R.I: American Mathematical Society, 1993.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
3

J, Grabowski, Urbański Paweł, and Zakrzewski Stanisław 1951-1998, eds. Poisson geometry: Stanisław Zakrzewski in memoriam. Warszawa: Institute of Mathematics, Polish Academy of Sciences, 2000.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
4

1963-, Voronov Theodore, ed. Quantization, Poisson brackets, and beyond: London Mathematical Society Regional Meeting and workshop on quantization, deformantions, and new homological and categorical methods in mathematical physics : July 6-13, 2001, University of Manchester Institute of Science and Technology, Manchester, United Kingdom. Providence, R.I: American Mathematical Society, 2002.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
5

Beris, Antony N. Thermodynamics of flowing systems: With internal microstructure. New York: Oxford University Press, 1994.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
6

Mann, Peter. Poisson Brackets & Angular Momentum. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0017.

Full text
Abstract:
This chapter discusses canonical transformations and gauge transformations and is divided into three sections. In the first section, canonical coordinate transformations are introduced to the reader through generating functions as the extension of point transformations used in Lagrangian mechanics, with the harmonic oscillator being used as an example of a canonical transformation. In the second section, gauge theory is discussed in the canonical framework and compared to the Lagrangian case. Action-angle variables, direct conditions, symplectomorphisms, holomorphic variables, integrable systems and first integrals are examined. The third section looks at infinitesimal canonical transformations resulting from functions on phase space. Ostrogradsky equations in the canonical setting are also detailed.
APA, Harvard, Vancouver, ISO, and other styles
7

Baulieu, Laurent, John Iliopoulos, and Roland Sénéor. Quantum Field Theories with a Large Number of Fields. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198788393.003.0023.

Full text
Abstract:
The large N limit of field theories is studied for fields belonging to the vector representation of O(N) and the adjoint representation of SU(N). The first case gives a solvable model while in the second case a classical field theory may emerge with the commutators replaced by Poisson brackets.
APA, Harvard, Vancouver, ISO, and other styles
8

Lectures on Poisson Geometry. American Mathematical Society, 2021.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
9

Lectures on Poisson Geometry. American Mathematical Society, 2021.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
10

Mann, Peter. Linear Algebra. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0037.

Full text
Abstract:
This chapter is key to the understanding of classical mechanics as a geometrical theory. It builds upon earlier chapters on calculus and linear algebra and frames theoretical physics in a new and useful language. Although some degree of mathematical knowledge is required (from the previous chapters), the focus of this chapter is to explain exactly what is going on, rather than give a full working knowledge of the subject. Such an approach is rare in this field, yet is ever so welcome to newcomers who are exposed to this material for the first time! The chapter discusses topology, manifolds, forms, interior products, pullback and pushforward, as well as tangent bundles, cotangent bundles, jet bundles and principle bundles. It also discusses vector fields, integral curves, flow, exterior derivatives and fibre derivatives. In addition, Lie derivatives, Lie brackets, Lie algebra, Lie–Poisson brackets, vertical space, horizontal space, groups and algebroids are explained.
APA, Harvard, Vancouver, ISO, and other styles
11

Mann, Peter. Differential Geometry. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0038.

Full text
Abstract:
This chapter is key to the understanding of classical mechanics as a geometrical theory. It builds upon earlier chapters on calculus and linear algebra and frames theoretical physics in a new and useful language. Although some degree ofmathematical knowledge is required (from the previous chapters), the focus of this chapter is to explain exactlywhat is going on, rather than give a full working knowledge of the subject. Such an approach is rare in this field, yet is ever so welcome to newcomers who are exposed to this material for the first time! The chapter discusses topology, manifolds, forms, interior products, pullback and pushforward, as well as tangent bundles, cotangent bundles, jet bundles and principle bundles. It also discusses vector fields, integral curves, flow, exterior derivatives and fibre derivatives. In addition, Lie derivatives, Lie brackets, Lie algebra, Lie–Poisson brackets, vertical space, horizontal space, groups and algebroids are explained.
APA, Harvard, Vancouver, ISO, and other styles
12

Deruelle, Nathalie, and Jean-Philippe Uzan. Kinetic theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0010.

Full text
Abstract:
This chapter covers the equations governing the evolution of particle distribution and relates the macroscopic thermodynamical quantities to the distribution function. The motion of N particles is governed by 6N equations of motion of first order in time, written in either Hamiltonian form or in terms of Poisson brackets. Thus, as this chapter shows, as the number of particles grows it becomes necessary to resort to a statistical description. The chapter first introduces the Liouville equation, which states the conservation of the probability density, before turning to the Boltzmann–Vlasov equation. Finally, it discusses the Jeans equations, which are the equations obtained by taking various averages over velocities.
APA, Harvard, Vancouver, ISO, and other styles
13

Mann, Peter. Hamilton’s Equations & Routhian Reduction. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0016.

Full text
Abstract:
In this chapter, the Poisson bracket and angular momentum are investigated and first integrals are used to develop conservation laws as a canonical Noether’s theorem. The Poisson bracket was developed by the French mathematician Poisson in the late nineteenth century and it is a reformulation, or at least a tidying up, of Hamilton’s equations into one neat package. The Poisson bracket of a quantity with the Hamiltonian describes the time evolution of that quantity as one moves along a curve in phase space. The Lie algebra structure of symmetries in mechanics is highlighted using this formulation. The classical propagator is derived using the Poisson bracket.
APA, Harvard, Vancouver, ISO, and other styles
14

Mann, Peter. Constrained Hamiltonian Dynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0021.

Full text
Abstract:
This chapter focuses on autonomous geometrical mechanics, using the language of symplectic geometry. It discusses manifolds (including Kähler manifolds, Riemannian manifolds and Poisson manifolds), tangent bundles, cotangent bundles, vector fields, the Poincaré–Cartan 1-form and Darboux’s theorem. It covers symplectic transforms, the Marsden–Weinstein symplectic quotient, presymplectic and symplectic 2-forms, almost symplectic structures, symplectic leaves and foliation. It also discusses contact structures, musical isomorphisms and Arnold’s theorem, as well as integral invariants, Nambu structures, the Nambu bracket and the Lagrange bracket. It describes Poisson bi-vector fields, Poisson structures, the Lie–Poisson bracket and the Lie–Poisson reduction, as well as Lie algebra, the Lie bracket and Lie algebra homomorphisms. Other topics include Casimir functions, momentum maps, the Euler–Poincaré equation, fibre derivatives and the geodesic equation. The chapter concludes by looking at deformation quantisation of the Poisson algebra, using the Moyal bracket and C*-algebras to develop a quantum physics.
APA, Harvard, Vancouver, ISO, and other styles
15

Mann, Peter. Lagrangian Field Theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0025.

Full text
Abstract:
In this chapter, Hamiltonian field theory is derived classically via a Hamiltonian density, using the zeroth component of a 4-momentum density. In field theory, space and time are considered to be on equal footing but, in the canonical formalism, time is treated as being special and therefore, by definition, it is not covariant. Consequently, most field theoretic models are built on Lagrangian formulations. A covariant canonical formalism is the subject of the de Donder–Weyl formalism, which is briefly discussed as a covariant Hamiltonian field theory. In addition, the chapter examines the case of a generalised Poisson bracket in the continuous form for two local smooth functionals of phase space.
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the bibliographies on the topic 'Poisson brackets' for other source types:
Journal articles Dissertations / Theses
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography