Adiabatic Invariants and Scalar Fields in a de Sitter Space-Time

Abstract

The method of adiabatic invariants for time dependent Hamiltonians is applied to a massive scalar field in a de Sitter space-time. The scalar field ground state, its Fock space and coherent states are constructed and related to the particle states. Diverse quantities of physical interest are illustrated, such as particle creation and the way a classical probability distribution emerges for the system at late times.

9 pages, Latex, no figures

References in corpus (3)

• Squeezed Vacua and the Quantum Statistics of Cosmological Particle Creation
• The Born-Oppenheimer Approach to the Matter-Gravity System and Unitarity
• Semiclassical collapse of a sphere of dust

Cited by in corpus (27)

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• The Vacuum State of Primordial Fluctuations in Hybrid Loop Quantum Cosmology
• Cosmic Dynamics of Bose-Einstein Condensates
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• Non-oscillating power spectra in Loop Quantum Cosmology
• Method of comparison equations for cosmological perturbations
• Dynamical Invariants for Variable Quadratic Hamiltonians
• Quantum Riemannian geometry and particle creation on the integer line
• Generalized Hamiltonian structures for Ermakov systems
• Vacuum energy and spectral function sum rules
• Evolution Operators for Linearly Polarized Two-Killing Cosmological Models
• Dynamical Properties of the Mukhanov-Sasaki Hamiltonian in the context of adiabatic vacua and the Lewis-Riesenfeld invariant
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• On the Time Dependent Oscillator and the Nonlinear Realizations of the Virasoro Group
• Quantum Scalar Field in D-dimensional de Sitter Spacetimes
• Time dependent particle production and particle number in cosmological de Sitter space
• Quantum Dynamics for de Sitter Radiation
• Integrability cases for the anharmonic oscillator equation
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• Weak invariants in dissipative systems: Action principle and Noether charge for kinetic theory
• Growing fluctuation of quantum weak invariant and dissipation
• Emergence of squeezed coherent states in Kaluza-Klein cosmology
• Quantized $p$-form Gauge Field in D-dimensional de Sitter Spacetime