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Quantum Geometry, Matrix Theory, and Gravity by Harold C. Steinacker is a nonfiction available to read on EtoBox.

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Quantum Geometry, Matrix Theory, and Gravity Contents Preface The trouble with spacetime Quantum geometry and Matrix theory Differentiable manifolds Differential forms Push-forward and pullback maps Lie derivative Bundles 1.1 Symplectic manifolds and Poisson structures 1.1.1 Hamiltonian vector fields 1.2 The relation with Hamiltonian mechanics Lie groups and coadjoint orbits (Co)adjoint action Poisson action 2.1 C Pn -1 as symplectic reduction of Cn 2.2 (Co)adjoint orbits as symplectic manifolds S2 as coadjoint orbit of SO(3) CPn 1 as coadjoint orbit of SU(n) Coadjoint orbits of SO(n) Equivariant bundles from coadjoint orbits Toward noncommutative geometry Quantization of symplectic manifolds Integration, trace, and inner product Quantum mechanics versus quantum geometry Quantization versus de-quantization 3.1 The Moyal-Weyl quantum plane R2n 3.1.1 Canonical Moyal-Weyl quantum plane or quantum mechanical phase space Representation and some identities 3.1.2 General Moyal-Weyl quantum plane Rn 3.1.3 Weyl quantization Application: Quantum-classical correspondence in statistical physics Mathematical refinements and Wigner map 3.1.4 Derivatives and inner derivations 3.1.5 Coherent state

Who reads Quantum Geometry, Matrix Theory, and Gravity?

Author

Harold C. Steinacker

Publisher

Cambridge University Press

Published

2024

Language

EN

ISBN

9781009440776

Category

nonfiction