Scientists / Open questions

Roy J. Glauber

Quantum optics; optical coherence

2005 Nobel Prize in Physics

25 questions

Spin effects on the high-energy deuteron cross-section defect: determining the spin-dependent nucleon amplitudes and testing the spin-dependent Glauber predictions at multi-GeV energies
Rigorous definition of the effective phase-space dimension of a quantum state and the existence of a universal relation $g^{(2)}(0)=f(D)$ for singular $P$ -distributions
Controlled validity of asymptotic passage-time statistics for the decay of unstable equilibrium states: recrossings, cutoffs, and nonlinear field dynamics beyond the Haake-Haus-Glauber asymptotics
Spin-dependent extension, near-forward uniformization, and quantitative validity criteria for the asymptotic stationary-phase theory of diffractive hadron-nucleus scattering
Experimental verification of the predicted statistical properties of superfluorescent pulses
Realistic-imperfection analysis of the two-atom quantum eraser and of the two-photon correlation imaging protocols of Glauber, Kleber, Patnaik, Scully and Walther (2005)
Completing the multiple diffraction theory of high-energy elastic $p\bar{p}$ and $pp$ scattering: the averaged parton-parton amplitude beyond the forward cone, its $t$ -dependent phase, and the energy-dependent transverse interaction radius
Foundations of the cooperative-mode theory of coherent resonant scattering by an atomic sphere: eigenmode completeness and microscopic relaxation
Completing Glauber's exponential-coupling nucleon–meson model: relativistic two-nucleon bound states, angular distributions of multiple-meson production, and the weak-coupling expansion at the physical mass ratio
Finite-size, boundary-condition, and detector-model corrections to fermion and spin counting statistics in the one-dimensional XY family
Titulaer–Glauber density-operator theorems for coherent fields in the continuum-mode and infrared (divergent photon number) regimes, and the off-diagonal freedom of fully coherent states
Coherent pion emission in high-energy heavy-ion collisions: quantifying the coherent fraction, its effect on Bose-Einstein (HBT) correlations, and its separation from competing mechanisms
Explicit quantum mass formulas for solitons beyond one loop and two spacetime dimensions (Cahill–Comtet–Glauber extension program)
Spontaneous coherent optical beats between two inverted atomic groups: fate of the locking-versus-beating threshold under depletion, dispersive shift, and unequal coupling
Completing the Polarium model: cooperative reflection and transmission by a resonant atomic slab beyond the ideal coherent limit
Superfluorescence of a large inverted sphere beyond the linear initiation regime: nonlinear coupling of vector multipole modes, delay-time statistics, and the deferred approximations of the Prasad–Glauber theory
Survival and experimental observability of the coherent collective-mode phenomena of the polarium model of resonant media
Existence, breakdown, and singularity structure of the Glauber-Sudarshan P representation for the two-mode parametric amplifier
Counting statistics of the strongly correlated fermionic XY system under realistic detection: post-release expansion, finite detector time scales, quasiparticle reservoirs, and the XX limit
Statistics of superfluorescent pulses in three-dimensional, relaxing samples: completing the quantitative theory and its experimental validation beyond one dimension and leading order in $1/N$
Explicit $1/N$ corrections to the Haake–Glauber asymptotic quantum statistics of superradiant pulses in the single-mode collective-emission master equation
Particle counting with detector back-action: exact and certified solutions of the nonunitary absorptive propagation beyond the one-dimensional point-absorber case
Rigorous s-ordered phase-space representations: unbounded operators, ultradistributional weight functions, and the singularity boundary x(F) of the Cahill–Glauber ordering continuum
Quantitative extraction of two-nucleon correlation information from low-energy pion double charge exchange

Back to open problems

Spin effects on the high-energy deuteron cross-section defect: determining the spin-dependent nucleon amplitudes and testing the spin-dependent Glauber predictions at multi-GeV energies

Rigorous definition of the effective phase-space dimension of a quantum state and the existence of a universal relation g(2)(0)=f(D)g^{(2)}(0)=f(D)g(2)(0)=f(D) for singular PPP-distributions

Controlled validity of asymptotic passage-time statistics for the decay of unstable equilibrium states: recrossings, cutoffs, and nonlinear field dynamics beyond the Haake-Haus-Glauber asymptotics

Spin-dependent extension, near-forward uniformization, and quantitative validity criteria for the asymptotic stationary-phase theory of diffractive hadron-nucleus scattering

Experimental verification of the predicted statistical properties of superfluorescent pulses

Realistic-imperfection analysis of the two-atom quantum eraser and of the two-photon correlation imaging protocols of Glauber, Kleber, Patnaik, Scully and Walther (2005)

Completing the multiple diffraction theory of high-energy elastic ppˉp\bar{p}ppˉ​ and pppppp scattering: the averaged parton-parton amplitude beyond the forward cone, its ttt-dependent phase, and the energy-dependent transverse interaction radius

Foundations of the cooperative-mode theory of coherent resonant scattering by an atomic sphere: eigenmode completeness and microscopic relaxation

Completing Glauber's exponential-coupling nucleon–meson model: relativistic two-nucleon bound states, angular distributions of multiple-meson production, and the weak-coupling expansion at the physical mass ratio

Finite-size, boundary-condition, and detector-model corrections to fermion and spin counting statistics in the one-dimensional XY family

Titulaer–Glauber density-operator theorems for coherent fields in the continuum-mode and infrared (divergent photon number) regimes, and the off-diagonal freedom of fully coherent states

Coherent pion emission in high-energy heavy-ion collisions: quantifying the coherent fraction, its effect on Bose-Einstein (HBT) correlations, and its separation from competing mechanisms

Explicit quantum mass formulas for solitons beyond one loop and two spacetime dimensions (Cahill–Comtet–Glauber extension program)

Spontaneous coherent optical beats between two inverted atomic groups: fate of the locking-versus-beating threshold under depletion, dispersive shift, and unequal coupling

Completing the Polarium model: cooperative reflection and transmission by a resonant atomic slab beyond the ideal coherent limit

Superfluorescence of a large inverted sphere beyond the linear initiation regime: nonlinear coupling of vector multipole modes, delay-time statistics, and the deferred approximations of the Prasad–Glauber theory

Survival and experimental observability of the coherent collective-mode phenomena of the polarium model of resonant media

Existence, breakdown, and singularity structure of the Glauber-Sudarshan P representation for the two-mode parametric amplifier

Counting statistics of the strongly correlated fermionic XY system under realistic detection: post-release expansion, finite detector time scales, quasiparticle reservoirs, and the XX limit

Statistics of superfluorescent pulses in three-dimensional, relaxing samples: completing the quantitative theory and its experimental validation beyond one dimension and leading order in 1/N1/N1/N

Explicit 1/N1/N1/N corrections to the Haake–Glauber asymptotic quantum statistics of superradiant pulses in the single-mode collective-emission master equation

Particle counting with detector back-action: exact and certified solutions of the nonunitary absorptive propagation beyond the one-dimensional point-absorber case

Rigorous s-ordered phase-space representations: unbounded operators, ultradistributional weight functions, and the singularity boundary x(F) of the Cahill–Glauber ordering continuum

Quantitative extraction of two-nucleon correlation information from low-energy pion double charge exchange

Rigorous definition of the effective phase-space dimension of a quantum state and the existence of a universal relation $g^{(2)}(0)=f(D)$ for singular $P$ -distributions

Completing the multiple diffraction theory of high-energy elastic $p\bar{p}$ and $pp$ scattering: the averaged parton-parton amplitude beyond the forward cone, its $t$ -dependent phase, and the energy-dependent transverse interaction radius

Statistics of superfluorescent pulses in three-dimensional, relaxing samples: completing the quantitative theory and its experimental validation beyond one dimension and leading order in $1/N$

Explicit $1/N$ corrections to the Haake–Glauber asymptotic quantum statistics of superradiant pulses in the single-mode collective-emission master equation