The hard core quantum gas at high temperatures

1968 ◽  
Vol 27 (6) ◽  
pp. 377-378 ◽  
Author(s):  
P.C. Hemmer
Keyword(s):  
High Temperatures ◽  
Hard Core ◽  
Quantum Gas

scholarly journals The Feynman–Kac Representation and Dobrushin–Lanford–Ruelle States of a Quantum Bose-Gas

Mathematics ◽  
2020 ◽  
Vol 8 (10) ◽  
pp. 1683
Author(s):  
Yuri Suhov ◽  
Mark Kelbert ◽  
Izabella Stuhl
Keyword(s):  
Boundary Condition ◽  
Particle System ◽  
Quantum Particle ◽  
Hard Core ◽  
Infinite Volume ◽  
Quantum Gas ◽  
Finite Range ◽  
System A ◽  
Energy Part ◽  
Quantum Analog

This paper focuses on infinite-volume bosonic states for a quantum particle system (a quantum gas) in Rd. The kinetic energy part of the Hamiltonian is the standard Laplacian (with a boundary condition at the border of a ‘box’). The particles interact with each other through a two-body finite-range potential depending on the distance between them and featuring a hard core of diameter a>0. We introduce a class of so-called FK-DLR functionals containing all limiting Gibbs states of the system. As a justification of this concept, we prove that for d=2, any FK-DLR functional is shift-invariant, regardless of whether it is unique or not. This yields a quantum analog of results previously achieved by Richthammer.

scholarly journals Exact entanglement growth of a one-dimensional hard-core quantum gas during a free expansion

2021 ◽  
Vol 54 (40) ◽  
pp. 404002 ◽  
Author(s):  
Stefano Scopa ◽  
Alexandre Krajenbrink ◽  
Pasquale Calabrese ◽  
Jérôme Dubail
Keyword(s):  
Hard Core ◽  
Quantum Gas ◽  
Free Expansion ◽  
One Dimensional

Hard-Core Effects in Solids at High Temperatures

1975 ◽  
Vol 34 (25) ◽  
pp. 1565-1568 ◽  
Author(s):  
Lynna B. Kanney ◽  
George K. Horton
Keyword(s):  
High Temperatures ◽  
Hard Core

In situ REM imaging of surface processes on ceramic bulk crystals from 300 to 1670 K in a conventional TEM

1991 ◽  
Vol 49 ◽  
pp. 660-661
Author(s):  
Z. L. Wang ◽  
J. Bentley
Keyword(s):  
High Temperatures ◽  
Image Resolution ◽  
Atomic Processes ◽  
Crystal Surfaces ◽  
Beam Radiation ◽  
Surface Areas ◽  
Transmission Electron ◽  
Reflection Electron Microscopy ◽  
Gas Reactions

Studying the behavior of surfaces at high temperatures is of great importance for understanding the properties of ceramics and associated surface-gas reactions. Atomic processes occurring on bulk crystal surfaces at high temperatures can be recorded by reflection electron microscopy (REM) in a conventional transmission electron microscope (TEM) with relatively high resolution, because REM is especially sensitive to atomic-height steps.Improved REM image resolution with a FEG: Cleaved surfaces of a-alumina (012) exhibit atomic flatness with steps of height about 5 Å, determined by reference to a screw (or near screw) dislocation with a presumed Burgers vector of b = (1/3)<012> (see Fig. 1). Steps of heights less than about 0.8 Å can be clearly resolved only with a field emission gun (FEG) (Fig. 2). The small steps are formed by the surface oscillating between the closely packed O and Al stacking layers. The bands of dark contrast (Fig. 2b) are the result of beam radiation damage to surface areas initially terminated with O ions.

Sign in / Sign up

Export Citation Format

Share Document