Zobrazeno 1 - 10
of 17
pro vyhledávání: '"William D. Kirwin"'
We consider the imaginary time flow of a quadratic hyperbolic Hamiltonian on the symplectic plane, apply it to the Schrodinger polarization and study the corresponding evolution of polarized sections. The flow is periodic in imaginary time and the ev
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2f42feef2ab95e1e7e187be1bbd83e82
http://arxiv.org/abs/1902.08751
http://arxiv.org/abs/1902.08751
Publikováno v:
Mathematische Annalen. 364:1-28
Let $$P$$ be a Delzant polytope. We show that the quantization of the corresponding toric manifold $$X_{P}$$ in toric Kahler polarizations and in the toric real polarization are related by analytic continuation of Hamiltonian flows evaluated at time
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d87fe3769e608bdd7908894c877177fc
https://doi.org/10.1007/s00208-015-1205-0
https://doi.org/10.1007/s00208-015-1205-0
Autor:
William D. Kirwin, Brian C. Hall
Publikováno v:
Mathematische Annalen. 350:455-474
In this paper, we give a new construction of the adapted complex structure on a neighborhood of the zero section in the tangent bundle of a compact, real-analytic Riemannian manifold. Motivated by the "complexifier" approach of T. Thiemann as well as
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::89dbd45a1213b11fd5e134b0867dd4b9
https://doi.org/10.1007/s00208-010-0564-9
https://doi.org/10.1007/s00208-010-0564-9
Autor:
William D. Kirwin
Publikováno v:
Asymptotic Analysis. 70:231-248
We present expressions for the coefficients which arise in asymptotic expansions of multiple integrals of Laplace type (the first term of which is known as Laplace's approximation) in terms of asymptotic series of the functions in the integrand. Our
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8977a113b179ec9d213d3418052d404e
https://doi.org/10.3233/asy-2010-1016
https://doi.org/10.3233/asy-2010-1016
Autor:
Alejandro Uribe, William D. Kirwin
Publikováno v:
Transactions of the American Mathematical Society. 362:897-932
The Kodaira—Thurston manifold M is a compact, 4-dimensional nilmanifold which is symplectic and complex but not Kahler. We describe a construction of ϑ-functions associated to M, which parallels the classical theory of ϑ-function associated to th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::59251949d260cc43026886e97ae3dfca
https://doi.org/10.1090/s0002-9947-09-04852-1
https://doi.org/10.1090/s0002-9947-09-04852-1
Autor:
Siye Wu, William D. Kirwin
Publikováno v:
Communications in Mathematical Physics. 266:577-594
In quantum mechanics, the momentum space and position space wave functions are related by the Fourier transform. We investigate how the Fourier transform arises in the context of geometric quantization. We consider a Hilbert space bundle \(\mathcal{H
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b32eb2eeddc223d577c9f4a491c42ada
https://doi.org/10.1007/s00220-006-0043-z
https://doi.org/10.1007/s00220-006-0043-z
Publikováno v:
J. Symplectic Geom. 11, no. 4 (2013), 603-643
We study the half-form Kähler quantization of a smooth symplectic toric manifold $(X,\omega)$, such that $[ \omega/ 2\pi]- c_{1}(X)/2 \in H^{2}(X,{\mathbb{Z}} )$ and is non-negative. We define the half-form corrected quantization of $(X,\omega)$ to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8d242c6a1e050f322a08fc88b386a95a
http://projecteuclid.org/euclid.jsg/1384783393
http://projecteuclid.org/euclid.jsg/1384783393
Publikováno v:
Journal of Mathematical Physics. 57:103505
Segal-Bargmann coherent state transforms can be viewed as unitary maps from L2 spaces of functions (or sections of an appropriate line bundle) on a manifold X to spaces of square integrable holomorphic functions (or sections) on Xℂ. It is natural t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0a23dde3896593e21ff42de0cd7612ca
https://doi.org/10.1063/1.4964448
https://doi.org/10.1063/1.4964448
For the cotangent bundle $T^{*}K$ of a compact Lie group $K$, we study the complex-time evolution of the vertical tangent bundle and the associated geometric quantization Hilbert space $L^{2}(K)$ under an infinite-dimensional family of Hamiltonian fl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5c3ee70c2f77ee49db1e3bac25b69112
http://arxiv.org/abs/1203.4767
http://arxiv.org/abs/1203.4767
Autor:
William D. Kirwin, Brian C. Hall
Let $M$ be a compact real-analytic manifold, equipped with a real-analytic Riemannian metric $g,$ and let $\beta$ be a closed real-analytic 2-form on $M$, interpreted as a magnetic field. Consider the Hamiltonian flow on $T^*M$ that describes a charg
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e7c5d2d2faf6d025e1ca4e46abf96464