Spectral asymptotics on stationary space-times

Alexander Strohmaier; Steve Zelditch

doi:10.1142/S0129055X20600077

Spectral asymptotics on stationary space-times

Alexander Strohmaier, Steve Zelditch

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We review our recent relativistic generalization of the Gutzwiller-Duistermaat-Guillemin trace formula and Weyl law on globally hyperbolic stationary space-times with compact Cauchy hypersurfaces. We also discuss anticipated generalizations to non-compact Cauchy hypersurface cases.

Original language	English (US)
Article number	2060007
Journal	Reviews in Mathematical Physics
Volume	33
Issue number	1
DOIs	https://doi.org/10.1142/S0129055X20600077
State	Published - Feb 2021

Keywords

Killing vector field
Klein-Gordon
Lorentzian
Stationary
Weyl asymptotics
mass
semi-classical

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1142/S0129055X20600077

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title = "Spectral asymptotics on stationary space-times",

abstract = "We review our recent relativistic generalization of the Gutzwiller-Duistermaat-Guillemin trace formula and Weyl law on globally hyperbolic stationary space-times with compact Cauchy hypersurfaces. We also discuss anticipated generalizations to non-compact Cauchy hypersurface cases.",

keywords = "Killing vector field, Klein-Gordon, Lorentzian, Stationary, Weyl asymptotics, mass, semi-classical",

author = "Alexander Strohmaier and Steve Zelditch",

note = "Funding Information: This research was partially supported by NSF grant DMS-1810747. Publisher Copyright: {\textcopyright} 2021 World Scientific Publishing Company.",

year = "2021",

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language = "English (US)",

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AU - Zelditch, Steve

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AB - We review our recent relativistic generalization of the Gutzwiller-Duistermaat-Guillemin trace formula and Weyl law on globally hyperbolic stationary space-times with compact Cauchy hypersurfaces. We also discuss anticipated generalizations to non-compact Cauchy hypersurface cases.

KW - Killing vector field

KW - Klein-Gordon

KW - Lorentzian

KW - Stationary

KW - Weyl asymptotics

KW - mass

KW - semi-classical

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JO - Reviews in Mathematical Physics

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Spectral asymptotics on stationary space-times

Abstract

Keywords

ASJC Scopus subject areas

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