scholarly journals S-matrix approach to quantum gases in the unitary limit: I. The two-dimensional case

2010 ◽  
Vol 2010 (03) ◽  
pp. P03025 ◽  
Author(s):  
Pye-Ton How ◽  
André LeClair
Keyword(s):  
Quantum Gases ◽  
Dimensional Case ◽  
Unitary Limit ◽  
Two Dimensional ◽  
Matrix Approach ◽  
S Matrix

scholarly journals Critical point of the two-dimensional Bose gas: An S-matrix approach

2010 ◽  
Vol 824 (3) ◽  
pp. 415-435 ◽  
Author(s):  
Pye-Ton How ◽  
André LeClair
Keyword(s):  
Critical Point ◽  
Bose Gas ◽  
Two Dimensional ◽  
Matrix Approach ◽  
S Matrix

The formation of gas hydrates under shock wave impact on the bubble media (two-dimensional case)

2010 ◽  
Vol 7 ◽  
pp. 90-97
Author(s):  
M.N. Galimzianov ◽  
I.A. Chiglintsev ◽  
U.O. Agisheva ◽  
V.A. Buzina
Keyword(s):  
Shock Wave ◽  
Gas Hydrates ◽  
Hydrate Formation ◽  
Dimensional Case ◽  
Two Dimensional ◽  
Wave Impact ◽  
Bubble Liquid ◽  
One Dimensional ◽  
Bubble Media ◽  
Main Factors

Formation of gas hydrates under shock wave impact on bubble media (two-dimensional case) The dynamics of plane one-dimensional shock waves applied to the available experimental data for the water–freon media is studied on the base of the theoretical model of the bubble liquid improved with taking into account possible hydrate formation. The scheme of accounting of the bubble crushing in a shock wave that is one of the main factors in the hydrate formation intensification with increasing shock wave amplitude is proposed.

Regions-based Two-dimensional Continua: The Euclidean Case

2018 ◽  
Author(s):  
Geoffrey Hellman ◽  
Stewart Shapiro
Keyword(s):  
Mathematical Induction ◽  
Dimensional Case ◽  
Two Dimensional ◽  
Entire Space ◽  
Euclidean Case ◽  
Free Basis ◽  
One Dimensional ◽  
Archimedean Property ◽  
The One

This chapter develops a Euclidean, two-dimensional, regions-based theory. As with the semi-Aristotelian account in Chapter 2, the goal here is to recover the now orthodox Dedekind–Cantor continuum on a point-free basis. The chapter derives the Archimedean property for a class of readily postulated orientations of certain special regions, what are called “generalized quadrilaterals” (intended as parallelograms), by which the entire space is covered. Then the chapter generalizes this to arbitrary orientations, and then establishes an isomorphism between the space and the usual point-based one. As in the one-dimensional case, this is done on the basis of axioms which contain no explicit “extremal clause”, and we have no axiom of induction other than ordinary numerical (mathematical) induction.

The study of the refractive scattering of 6Li and 6He on carbon target with the S-matrix approach

2021 ◽  
Vol 36 (36) ◽  
Author(s):  
Liyuan Hu ◽  
Yushou Song ◽  
Yingwei Hou ◽  
Huilan Liu ◽  
Gongming Yu
Keyword(s):  
Experimental Data ◽  
Elastic Scattering ◽  
Forward Direction ◽  
Matrix Approach ◽  
Carbon Target ◽  
Intermediate Energies ◽  
S Matrix ◽  
Bombarding Energy

In this paper, the S-matrix parametrization is adopted to analyze the refractive scattering of [Formula: see text] at intermediate energies systematically and that of [Formula: see text] at 230 MeV. For [Formula: see text], the experimental data containing the Fraunhofer oscillations and the rainbow falloff are reproduced very well by adjusting parameters. The S-matrix parameters and the rainbow angles show evident tendencies as the bombarding energy increases, which are comparable with those of [Formula: see text] elastic scattering on carbon target. For [Formula: see text], the experimental data in the forward direction are reproduced successfully by slightly adjusting the parameters used in the calculation of [Formula: see text] at 210 MeV. The calculated results show that the [Formula: see text] scattering exhibits a comparable transparency with that of [Formula: see text] at intermediate energies.

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