Complex structures for Klein–Gordon theory on globally hyperbolic spacetimes
DOI10.1088/1361-6382/ac3fbdOpenAlexW2902001531WikidataQ115548135 ScholiaQ115548135MaRDI QIDQ5868033
Publication date: 19 September 2022
Published in: Classical and Quantum Gravity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.00926
complex structureglobally hyperbolic spacetimegeometric quantizationself-adjoint operatorsoperator differential equationsKlein-Gordon theoryGelfand-Dikki equation
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Linear symmetric and selfadjoint operators (unbounded) (47B25) Quantization of the gravitational field (83C45) Deformations of complex structures (32G05) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Hyperbolic 3-manifolds (57K32)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Holomorphic quantization of linear field theory in the general boundary formulation
- Self-adjointness in Klein-Gordon theory on globally hyperbolic spacetimes
- Analysis of the Laplacian on a complete Riemannian manifold
- On the square root of a positive selfadjoint operator
- Schrödinger and Fock representation for a field theory on curved spacetime
- Essential self-adjointness of powers of generators of hyperbolic equations
- On smooth Cauchy hypersurfaces and Geroch's splitting theorem
- Smoothness of time functions and the metric splitting of globally hyperbolic spacetimes
- Quantum field theory on curved spacetimes: Axiomatic framework and examples
- The Schrödinger representation and its relation to the holomorphic representation in linear and affine field theory
- ASYMPTOTIC BEHAVIOUR OF THE RESOLVENT OF STURM-LIOUVILLE EQUATIONS AND THE ALGEBRA OF THE KORTEWEG-DE VRIES EQUATIONS
- Spaces of positive and negative frequency solutions of field equations in curved space–times. I. The Klein–Gordon equation in stationary space–times
- Quantum fields in curved space-times
- Functional evolution of free quantum fields
- Ultrastatic space-times
- ‘Vacuum-like’ Hadamard states for quantum fields on curved spacetimes
- States of low energy on Robertson–Walker spacetimes
- Linear Symmetries of Free Boson Fields
- Domain of Dependence
- States of low energy in homogeneous and inhomogeneous expanding spacetimes
- General Relativity
- Quantum Fields in Curved Space
- Essential self-adjointness for semi-bounded magnetic Schrödinger operators on non-compact manifolds
