scholarly journals Spatial Locality of Galaxy Correlation Function in Phase Space: Samples from the 2MASS Extended Source Catalog

2004 ◽  
Vol 610 (1) ◽  
pp. 51-60 ◽  
Author(s):  
Yicheng Guo ◽  
Yao‐Quan Chu ◽  
Li‐Zhi Fang
Keyword(s):  
Correlation Function ◽  
Phase Space ◽  
Extended Source ◽  
Spatial Locality

On the closure of the hierarchy of galaxy correlation function in phase space

1986 ◽  
Vol 310 ◽  
pp. 23 ◽  
Author(s):  
D. Hansel ◽  
R. Pellat ◽  
A. Ramani ◽  
F. R. Bouchet
Keyword(s):  
Correlation Function ◽  
Phase Space

Correlation function on quantum phase space

1988 ◽  
Vol 132 (8-9) ◽  
pp. 419-422
Author(s):  
J.L. Parish
Keyword(s):  
Correlation Function ◽  
Phase Space ◽  
Quantum Phase

scholarly journals Quantum Statistics of Light Emitted from a Pillar Microcavity

2021 ◽  
Author(s):  
Timur A. Khudaiberganov ◽  
Sergei M. Arakelian
Keyword(s):  
Correlation Function ◽  
Phase Space ◽  
Quantum States ◽  
Dissipative Effects ◽  
Exciton Polaritons ◽  
Quantum Behavior ◽  
Population Ratio ◽  
Domain Of Parameters ◽  
Quasiprobability Functions ◽  
Bistability Regime

Abstract A quantum behavior of the light emitted by exciton polaritons excited in a pillar semiconductor microcavity with embedded quantum well is investigated. Considering the bare excitons and photon modes as coupled quantum oscillators allows for an accurate accounting of the nonlinear and dissipative effects. In particular, using the method of quantum states presentation in a quantum phase space via quasiprobability functions (namely, a P-function and a Wigner function), we study the effect of the laser and the exciton-photon detuning on the second order correlation function of the emitted photons. We determine the conditions for the phenomena of bunching, giant bunching, and antibunching of the emitted light. In particular, we predict the effect of a giant bunching for the case of a large exciton to photon population ratio. Within the domain of parameters supporting a bistability regime we demonstrate the effect of bunching of photons.

scholarly journals ON THE EQUIVALENCE BETWEEN TOPOLOGICALLY AND NON-TOPOLOGICALLY MASSIVE ABELIAN GAUGE THEORIES

2000 ◽  
Vol 15 (02) ◽  
pp. 121-131 ◽  
Author(s):  
E. HARIKUMAR ◽  
M. SIVAKUMAR
Keyword(s):  
Correlation Function ◽  
Gauge Theory ◽  
Phase Space ◽  
Gauge Theories ◽  
Abelian Gauge ◽  
First Order ◽  
Space Extension ◽  
Canonical Variables ◽  
Canonical Approach ◽  
Total Divergence

We analyze the equivalence between topologically massive gauge theory (TMGT) and different formulations of non-topologically massive gauge theories (NTMGTs) in the canonical approach. The different NTMGTs studied are Stückelberg formulation of (a) a first-order formulation involving one- and two-form fields, (b) Proca theory, and (c) massive Kalb–Ramond theory. We first quantize these reducible gauge systems by using the phase space extension procedure and using it, identify the phase space variables of NTMGTs which are equivalent to the canonical variables of TMGT and show that under this the Hamiltonian also get mapped. Interestingly it is found that the different NTMGTs are equivalent to different formulations of TMGTs which differ only by a total divergence term. We also provide covariant mappings between the fields in TMGT to NTMGTs at the level of correlation function.

A one-dimensional self-gravitating stellar gas

1966 ◽  
Vol 25 ◽  
pp. 46-48 ◽  
Author(s):  
M. Lecar
Keyword(s):  
Gravitational Field ◽  
Phase Space ◽  
Motion Picture ◽  
Space Distribution ◽  
Two Dimensional ◽  
One Dimensional ◽  
Phase Space Distribution ◽  
Dimensional Phase Space ◽  
The Mean

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.

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