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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Random phase approximation for the mean-field electron gas （3）
平均场 电子气 随机相位近似
2023/11/29
Random phase approximation (RPA) was proposed by Bohm and Pines in four seminal papers during 1951-1953 to describe the correlation of fermions, namely the correction to the Hartree-Fock theory. While...
Asymptotic formula for the condensate wave function of a trapped Bose gas
Asymptotic formula condensate wave function trapped Bose gas
2015/10/16
An analytical property is pointed out for the universal differential equation first derived by Dalfovo, Pitaevskii, and Stringari for the condensate wave function at the boundary of a trapped Bose gas...
A study of Bose-Einstein condensation in a two-dimensional trapped gas
Bose - Einstein condensation particles bose particle condensed state thermodynamics
2014/12/22
We examine the possibility of Bose-Einstein condensation (BEC) in two-dimensional (2D) system of interacting particles in a trap. We use a self-consistent mean-field theory of Bose particles interacti...
The loop-gas approach to Bose-Einstein condensation for trapped particles
Bose - Einstein condensation particles the wave function is symmetrical cellular automata harmonic oscillator
2014/12/22
We examine Bose–Einstein condensation (BEC) for particles trapped in a harmonic potential by considering it as a transition in the length of permutation cycles that arise from wave-function symmetry. ...
Supercurrent stability in a quasi-one-dimensional weakly interacting Bose gas
Superfluid phenomena bose gas liquid and super current
2014/12/22
We discuss the possibility of observing superfluid phenomena in a quasi-one-dimensional weakly interacting Bose gas at finite temperature. The weakness of interaction in combination with generic prope...
Critical Point of a Weakly Interacting Two-Dimensional Bose Gas
Two dimensional quantum bose gas lattice model the numerical simulation of dimensionless coefficient
2014/12/22
We study the Berezinskii-Kosterlitz-Thouless transition in a weakly interacting 2D quantum Bose gas using the concept of universality and numerical simulations of the classical |ψ|4 model on a lattice...
Critical Temperature Shift in Weakly Interacting Bose Gas
High performance monte carlo quantum bose gas the scattering
2014/12/22
With a high-performance Monte Carlo algorithm we study the interaction-induced shift of the critical point in weakly interacting three-dimensional |ψ|4 theory (which includes quantum Bose gas). In ter...
Two-dimensional weakly interacting Bose gas in the fluctuation region
Two-dimensional bose gas range cross thermodynamics parameters superfluids
2014/12/22
We study the crossover between the mean-field and critical behavior of the two-dimensional Bose gas throughout the fluctuation region of the Berezinskii-Kosterlitz-Thouless phase transition point. We ...
Weakly Interacting Bose Gas in the Vicinity of the Critical Point
Three dimensional weak bose gas the thermodynamic functions superfluid density
2014/12/20
We consider a three-dimensional weakly interacting Bose gas in the fluctuation region (and its vicinity) of the normal-superfluid phase transition point. We establish relations between basic thermodyn...
Expansion of a Quantum Gas Released from an Optical Lattice
Ultracold atoms optical lattice quantum gas the diffraction optics
2014/12/19
We analyze the interference pattern produced by ultracold atoms released from an optical lattice, commonly interpreted as the momentum distributions of the trapped quantum gas. We show that for finite...
Superfluid Transition in a Bose Gas with Correlated Disorder
Three dimensional gas superfluid dielectric quantum monte carlo space simulation
2014/12/19
The superfluid transition of a three-dimensional gas of hard-sphere bosons in a disordered medium is studied using quantum Monte Carlo methods. Simulations are performed in continuous space both in th...
The criticism by W. E. Lamb, W. Schleich, M. Scully, C. Townes of a simplified quantum electrodynamics which represents the photon as a true particle is illustrated. Collisions being absent in low-pre...
Exact expressions for the intercepts of r-particle momentum correlation functions in μ-Bose gas model
deformed Bose gas model deformed oscillators intercepts of correlation functions
2012/4/16
Recently, the deformed \mu-Bose gas model based on a set of so called \mu-deformed oscillators was proposed. Within that model, the intercepts of r-particle momentum correlation functions (correlation...
Solvable K-essence Cosmologies and Modified Chaplygin Gas Unified Models of Dark Energy and Dark Matter
Solvable K-essence Cosmologies Modified Chaplygin Gas Unified Models of Dark Energy Dark Matter
2012/4/20
This paper is devoted to the investigation of modified Chaplygin gas model in the context of solvable k-essence cosmologies. For this purpose, we construct equations of state parameter of this model f...
Measurement of the gas-flow reduction factor of the KATRIN DPS2-F differential pumping section
gas flow RGA residual gas analyzer vacuum measurement free molecular flow turbo-molecular gas flow RGA residual gas analyzer vacuum measurement free molecular flow turbo-molecular
2011/8/1
Abstract: We determined the gas-flow reduction factor of the second forward Differential Pumping Section (DPS2-F) for the KATRIN experiment using a dedicated vacuum-measurement setup and by detailed m...