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The quantization of the Hamiltonian in curved space

✍ Scribed by J. M. Domingos; M. H. Caldeira


Publisher
Springer US
Year
1984
Tongue
English
Weight
794 KB
Volume
14
Category
Article
ISSN
0015-9018

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Hamiltonian ODEs in the Wasserstein spac
✍ Luigi Ambrosio; Wilfrid Gangbo πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 299 KB πŸ‘ 1 views

In this paper we consider a Hamiltonian H on P 2 (R 2d ), the set of probability measures with finite quadratic moments on the phase space R 2d = R d Γ— R d , which is a metric space when endowed with the Wasserstein distance W 2 . We study the initial value problem dΒ΅ t /dt +βˆ‡β€’(J d v t Β΅ t ) = 0, wh