Ground-State Energy of a Hard-Sphere Gas
From MaRDI portal
Publication:3242086
DOI10.1103/PhysRev.106.20zbMath0077.23503OpenAlexW1965731088MaRDI QIDQ3242086
Publication date: 1957
Published in: Physical Review (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1103/physrev.106.20
Related Items (59)
Dilute Bose gas with three-body interaction: Recent results and open questions ⋮ Ground state energy of a Bose gas in the Gross–Pitaevskii regime ⋮ Bose–Einstein condensation on hyperbolic spaces ⋮ A second order upper bound on the ground state energy of a Bose gas beyond the Gross–Pitaevskii regime ⋮ Ground state energy of the low density Bose gas with three-body interactions ⋮ Fermionic behavior of ideal anyons ⋮ Ground state energy of the low density Hubbard model: An upper bound ⋮ The second order upper bound for the ground energy of a Bose gas ⋮ Strongly correlated phases in rapidly rotating Bose gases ⋮ The thermodynamic pressure of a dilute Fermi gas ⋮ Hot topics in cold gases ⋮ Pair excitations and the mean field approximation of interacting Bosons. I ⋮ Bosons in disc-shaped traps: from 3D to 2D ⋮ A simple 2nd order lower bound to the energy of dilute Bose gases ⋮ Bose-Einstein condensation in a dilute, trapped gas at positive temperature ⋮ Free energies of dilute Bose gases: upper bound ⋮ Bogoliubov excitation spectrum of Bose gases ⋮ GROUND-STATE ENERGY DENSITY OF A DILUTE BOSE GAS IN THE CANONICAL TRANSFORMATION ⋮ Mini-workshop: A geometric fairytale full of spectral gaps and random fruit. Abstracts from the mini-workshop held November 27 -- December 3, 2022 ⋮ Bogoliubov excitation spectrum of trapped Bose gases in the Gross-Pitaevskii regime ⋮ The ground state energy of a two-dimensional Bose gas ⋮ Ground state energy of the dilute spin-polarized Fermi gas: upper bound via cluster expansion ⋮ Preface to the Special Collection in Honor of Freeman Dyson ⋮ Second-order corrections to mean field evolution of weakly interacting bosons. I ⋮ THE FREE ENERGY OF THE TWO-DIMENSIONAL DILUTE BOSE GAS. I. LOWER BOUND ⋮ An optimal upper bound for the dilute Fermi gas in three dimensions ⋮ On the energy of dilute Bose gases ⋮ Emergence of Haldane pseudo-potentials in systems with short-range interactions ⋮ Exclusion bounds for extended anyons ⋮ A second order upper bound for the ground state energy of a hard-sphere gas in the Gross-Pitaevskii regime ⋮ The energy of dilute Bose gases. II: The general case ⋮ The energy of dilute Bose gases ⋮ Free energy of a dilute Bose gas: lower bound ⋮ Role of scaling limits in the rigorous analysis of Bose-Einstein condensation ⋮ The TF limit for rapidly rotating Bose gases in anharmonic traps ⋮ Ground state energy of the low density Hubbard model ⋮ Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature ⋮ ON THE LOW-TEMPERATURE BEHAVIOR OF THE INFINITE-VOLUME IDEAL BOSE GAS ⋮ Analysis of a Simple Equation for the Ground State of the Bose Gas II: Monotonicity, Convexity, and Condensate Fraction ⋮ The Bogoliubov model of weakly imperfect Bose gas ⋮ The ground state energy of dilute Bose gas in potentials with positive scattering length ⋮ Analysis of a simple equation for the ground state energy of the Bose gas ⋮ Derivation of the Gross-Pitaevskii equation for rotating Bose gases ⋮ Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate ⋮ A PRIORI ESTIMATES FOR MANY-BODY HAMILTONIAN EVOLUTION OF INTERACTING BOSON SYSTEM ⋮ Scaling limits of bosonic ground states, from many-body to non-linear Schrödinger ⋮ Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons ⋮ The second-order correction to the ground state energy of the dilute Bose gas ⋮ BOSONS IN RAPID ROTATION ⋮ Ground state energy of dilute Bose gas in small negative potential case ⋮ Length scales for BEC in the dilute Bose gas ⋮ Ground state energy of mixture of Bose gases ⋮ Ground state energy of a dilute two-dimensional Bose gas from the Bogoliubov free energy functional ⋮ Evolution of the Boson gas at zero temperature: Mean-field limit and second-order correction ⋮ Another proof of BEC in the GP-limit ⋮ A lower bound on the ground state energy of dilute Bose gas ⋮ Lieb-Thirring bounds for interacting Bose gases ⋮ A new second-order upper bound for the ground state energy of dilute Bose gases ⋮ Bose gases, Bose–Einstein condensation, and the Bogoliubov approximation
This page was built for publication: Ground-State Energy of a Hard-Sphere Gas