Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Within the second half of the last century, quantum cosmology concretely became one of the main research lines within gravitational theory and cosmology. Substantial progress has been made. Furthermore, quantum cosmology can become a domain that will gradually develop further over the next handful of decades, perhaps assisted by technological developments. Indications for new physics (i.e., beyond the standard model of particle physics or general relativity) could emerge and then the observable universe would surely be seen from quite a new perspective. This motivates bringing quantum cosmology to more research groups and individuals.This Special Issue (SI) aims to provide a wide set of reviews, ranging from foundational issues to (very) recent advancing discussions. Concretely, we want to inspire new work proposing observational tests, providing an aggregated set of contributions, covering several lines, some of which are thoroughly explored, some allowing progress, and others much unexplored. The aim of this SI is motivate new researchers to employ and further develop quantum cosmology over the forthcoming decades. Textbooks and reviews exist on the present subject, and this SI will complementarily assist in offering open access to a set of wide-ranging reviews. Hopefully, this will assist new interested researchers, in having a single open access online volume, with reviews that can help. In particular, this will help in selecting what to explore, what to read in more detail, where to proceed, and what to investigate further within quantum cosmology.

Research & information: general --- Physics --- string cosmology --- quantum cosmology --- Wheeler-DeWitt equation --- loop quantum cosmology --- observations --- classical and quantum cosmology --- time --- quantum fields in curved spacetime --- Brans–Dicke theory --- bounce models --- de Broglie–Bohm interpretation --- quantum geometrodynamics --- extended theories of gravity --- dark energy singularities --- quantum gravity --- Hawking radiation --- entanglement entropy --- uniqueness of the quantization --- polymer quantum mechanics --- bounce --- no-boundary proposal --- instantons --- multiverse --- superspace --- third quantisation --- universe–antiuniverse pair --- weyl curvature hypothesis --- early universe cosmology --- singularity and bounce --- cyclic universe --- quantum fields --- backreaction effects --- supersymmetry --- noncommutativity --- generalized uncertainty principles --- canonical quantum gravity --- clocks --- noether symmetries --- ADM formalism --- exact solutions --- supersymmetric quantum mechanics --- shape invariant potentials --- supersymmetric quantum cosmology --- n/a --- Brans-Dicke theory --- de Broglie-Bohm interpretation --- universe-antiuniverse pair

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The book is devoted to the fundamental aspects of the non-equilibrium statistical mechanics of many-particle systems. The concept of Zubarev’s approach, which generalizes the notion of Gibbs’ ensembles, and introduces a nonequilibrium statistical operator, providing an adequate basis for dealing with strongly correlated systems that are governed by nonperturbative phenomena, such as the formation of bound states, quantum condensates and the instability of the vacuum. Besides a general introduction to the formalism, this book contains contributions devoted to the applications of Zubarev’s method to the solution of modern problems in different fields of physics: transport theory, hydrodynamics, high-energy physics, quark-gluon plasma and hadron production in heavy-ion collisions. The book provides valuable information for researchers and students in these fields, requiring powerful concepts to solve fundamental problems of non-equilibrium phenomena in strongly

Research & information: general --- relativistic fluid dynamics --- statistical operator --- non-equilibrium states --- transport coefficients --- correlation functions --- open quantum system --- master equation --- non-equilibrium statistical operator --- relevant statistical operator --- quasi-temperature --- dynamic correlations --- QCD matter --- phase transition --- critical point --- nonequilibrium thermo-field dynamics --- kinetics --- hydrodynamics --- kinetic equations --- bound states --- quark-gluon plasma --- out-of-equilibrium quantum field theory --- dimensional renormalization --- finite-time-path formalism --- Boltzmann equation --- gluon saturation --- pion enhancement --- ALICE --- LHC --- thermalization --- hadronization --- Gibbs equilibrium statistical mechanics --- Bogoliubov’s quasi-averages --- pressure fluctuations --- relativistic ideal gas --- kinetic theory --- particle production --- Schwinger effect --- Zitterbewegung --- low density approximation --- quantum statistical mechanics --- relativistic hydrodynamics --- Kubo formulae --- graphene --- dynamic critical phenomena --- high-field and nonlinear effects --- QCD --- gluons --- Bose-Einstein condensate --- Fokker-Planck equation --- relaxation time approximation --- linear response theory --- permittivity, dynamical conductivity, absorption coefficient, dynamical collision frequency --- ordered lattice, disordered lattice --- Umklapp process --- interband transitions --- finite temperature field theory --- path integrals --- quantum fields in curved spacetime --- symmetries --- quantum anomalies --- irreversibility --- entropy --- electrical conductivity --- Zubarev operator --- Unruh effect --- acceleration --- Zubarev formalism --- pion chemical potential --- relativistic fluid dynamics --- statistical operator --- non-equilibrium states --- transport coefficients --- correlation functions --- open quantum system --- master equation --- non-equilibrium statistical operator --- relevant statistical operator --- quasi-temperature --- dynamic correlations --- QCD matter --- phase transition --- critical point --- nonequilibrium thermo-field dynamics --- kinetics --- hydrodynamics --- kinetic equations --- bound states --- quark-gluon plasma --- out-of-equilibrium quantum field theory --- dimensional renormalization --- finite-time-path formalism --- Boltzmann equation --- gluon saturation --- pion enhancement --- ALICE --- LHC --- thermalization --- hadronization --- Gibbs equilibrium statistical mechanics --- Bogoliubov’s quasi-averages --- pressure fluctuations --- relativistic ideal gas --- kinetic theory --- particle production --- Schwinger effect --- Zitterbewegung --- low density approximation --- quantum statistical mechanics --- relativistic hydrodynamics --- Kubo formulae --- graphene --- dynamic critical phenomena --- high-field and nonlinear effects --- QCD --- gluons --- Bose-Einstein condensate --- Fokker-Planck equation --- relaxation time approximation --- linear response theory --- permittivity, dynamical conductivity, absorption coefficient, dynamical collision frequency --- ordered lattice, disordered lattice --- Umklapp process --- interband transitions --- finite temperature field theory --- path integrals --- quantum fields in curved spacetime --- symmetries --- quantum anomalies --- irreversibility --- entropy --- electrical conductivity --- Zubarev operator --- Unruh effect --- acceleration --- Zubarev formalism --- pion chemical potential

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The book is devoted to the fundamental aspects of the non-equilibrium statistical mechanics of many-particle systems. The concept of Zubarev’s approach, which generalizes the notion of Gibbs’ ensembles, and introduces a nonequilibrium statistical operator, providing an adequate basis for dealing with strongly correlated systems that are governed by nonperturbative phenomena, such as the formation of bound states, quantum condensates and the instability of the vacuum. Besides a general introduction to the formalism, this book contains contributions devoted to the applications of Zubarev’s method to the solution of modern problems in different fields of physics: transport theory, hydrodynamics, high-energy physics, quark-gluon plasma and hadron production in heavy-ion collisions. The book provides valuable information for researchers and students in these fields, requiring powerful concepts to solve fundamental problems of non-equilibrium phenomena in strongly

relativistic fluid dynamics --- statistical operator --- non-equilibrium states --- transport coefficients --- correlation functions --- open quantum system --- master equation --- non-equilibrium statistical operator --- relevant statistical operator --- quasi-temperature --- dynamic correlations --- QCD matter --- phase transition --- critical point --- nonequilibrium thermo-field dynamics --- kinetics --- hydrodynamics --- kinetic equations --- bound states --- quark-gluon plasma --- out-of-equilibrium quantum field theory --- dimensional renormalization --- finite-time-path formalism --- Boltzmann equation --- gluon saturation --- pion enhancement --- ALICE --- LHC --- thermalization --- hadronization --- Gibbs equilibrium statistical mechanics --- Bogoliubov’s quasi-averages --- pressure fluctuations --- relativistic ideal gas --- kinetic theory --- particle production --- Schwinger effect --- Zitterbewegung --- low density approximation --- quantum statistical mechanics --- relativistic hydrodynamics --- Kubo formulae --- graphene --- dynamic critical phenomena --- high-field and nonlinear effects --- QCD --- gluons --- Bose-Einstein condensate --- Fokker-Planck equation --- relaxation time approximation --- linear response theory --- permittivity, dynamical conductivity, absorption coefficient, dynamical collision frequency --- ordered lattice, disordered lattice --- Umklapp process --- interband transitions --- finite temperature field theory --- path integrals --- quantum fields in curved spacetime --- symmetries --- quantum anomalies --- irreversibility --- entropy --- electrical conductivity --- Zubarev operator --- Unruh effect --- acceleration --- Zubarev formalism --- pion chemical potential