Exact linear invariants and quantum effects in the early Universe

DOI10.1016/j.physletb.2007.06.043zbMath1248.83040OpenAlexW2037710859MaRDI QIDQ713572

I. A. Pedrosa, Claudio Furtado, Alexandre Rosas

Publication date: 18 October 2012

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physletb.2007.06.043

zbMATH Keywords

linear invariantsdynamical invariant methodFriedman-Robertson-Walker spacetime

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Quantum field theory on curved space or space-time backgrounds (81T20) Methods of quantum field theory in general relativity and gravitational theory (83C47)

Related Items (11)

Integrable equations with Ermakov-Pinney nonlinearities and Chiellini damping ⋮ Lie algebraic approach to the time-dependent quantum general harmonic oscillator and the bi-dimensional charged particle in time-dependent electromagnetic fields ⋮ Lewis-Riesenfeld quantization and SU(1, 1) coherent states for 2D damped harmonic oscillator ⋮ On the existence and robustness of steady position-momentum correlations for time-dependent quadratic systems ⋮ Landau problem with time dependent mass in time dependent electric and harmonic background fields ⋮ Geometric phases and squeezed quantum states of relic gravitons ⋮ Berry phase of primordial scalar and tensor perturbations in single-field inflationary models ⋮ Gaussian wave packet states of scalar fields in a universe of de Sitter ⋮ Barotropic FRW cosmologies with Chiellini damping ⋮ Time evolution of two-dimensional quadratic Hamiltonians: A Lie algebraic approach ⋮ Geometric phase of linear cosmological perturbations in two-field inflation

Cites Work

• Unnamed Item
• Coherent and squeezed states for light in homogeneous conducting linear media by an invariant operator method
• Adiabatic invariants and scalar fields in a de Sitter space-time.
• SQUEEZED VACUA AND THE QUANTUM STATISTICS OF COSMOLOGICAL PARTICLE CREATION
• COMPLETE EXACT QUANTUM STATES OF THE GENERALIZED TIME-DEPENDENT HARMONIC OSCILLATOR
• One-parameter squeezed Gaussian states of a time-dependent harmonic oscillator and the selection rule for vacuum states
• Exact Quantization Conditions. II
• OPERATOR METHOD FOR A NONCONSERVATIVE HARMONIC OSCILLATOR WITH AND WITHOUT SINGULAR PERTURBATION
• QUANTUM STATES OF A GENERALIZED TIME-DEPENDENT INVERTED HARMONIC OSCILLATOR
• Quantized Fields and Particle Creation in Expanding Universes. I
• Exact quantum motion of a particle trapped by oscillating fields
• The quantum damped harmonic oscillator

This page was built for publication: Exact linear invariants and quantum effects in the early Universe