Titlebook: Hamiltonian Group Actions and Equivariant Cohomology; Shubham Dwivedi,Jonathan Herman,Theo van den Hurk Book 2019 The Author(s), under exc

泥瓦匠

https://doi.org/10.1007/978-1-4612-4646-6s that around any point of a symplectic manifold, there is a chart for which the symplectic form has a particularly nice form. In this section, we give a proof of an equivariant version of the theorem and look at some corollaries. We direct the reader to [.] or Sect. 22 of [.] for more details.

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荨麻

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The Physics Behind Semiconductor Technologyase space”, parametrizing position and momentum) is replaced by a vector space with an inner product; in other words, a Hilbert space (the “space of wave functions”). Functions on the manifold (“observables”) are replaced by endomorphisms of the vector space.

庄严

喧闹

The Symplectic Structure on Coadjoint Orbits,irillov–Kostant–Souriau form). An example of an orbit of the adjoint action is the two-sphere, which is an orbit of the action of the rotation group .(3) on its Lie algebra .. Background information on Lie groups may be found in Appendix.

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,The Duistermaat–Heckman Theorem,ich comes from the original article [.]) describes how the Liouville measure of a symplectic quotient varies. The second describes an oscillatory integral over a symplectic manifold equipped with a Hamiltonian group action and can be characterized by the slogan “Stationary phase is exact”.

记忆

Geometric Quantization,ase space”, parametrizing position and momentum) is replaced by a vector space with an inner product; in other words, a Hilbert space (the “space of wave functions”). Functions on the manifold (“observables”) are replaced by endomorphisms of the vector space.

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丰满中国

Hamiltonian Group Actions and Equivariant Cohomology978-3-030-27227-2Series ISSN 2191-8198 Series E-ISSN 2191-8201