泥瓦匠
发表于 2025-3-23 13:03:33
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.
委屈
发表于 2025-3-23 16:26:59
http://reply.papertrans.cn/43/4207/420634/420634_12.png
荨麻
发表于 2025-3-23 19:18:38
http://reply.papertrans.cn/43/4207/420634/420634_13.png
Muffle
发表于 2025-3-24 00:51:45
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
发表于 2025-3-24 03:33:02
http://reply.papertrans.cn/43/4207/420634/420634_15.png
喧闹
发表于 2025-3-24 07:32:24
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.
endarterectomy
发表于 2025-3-24 11:09:08
,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
发表于 2025-3-24 16:58:33
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.
Lice692
发表于 2025-3-24 22:01:45
http://reply.papertrans.cn/43/4207/420634/420634_19.png
丰满中国
发表于 2025-3-25 02:59:25
Hamiltonian Group Actions and Equivariant Cohomology978-3-030-27227-2Series ISSN 2191-8198 Series E-ISSN 2191-8201