Calogero–Moser systems with periodic and doubly periodic interaction potentials and loop algebras

2001 ◽  
Vol 42 (10) ◽  
pp. 4927-4937
Author(s):  
M. Fleury
Keyword(s):  
Interaction Potentials ◽  
Loop Algebras

scholarly journals Wilson loop algebras and quantum K-theory for Grassmannians

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Hans Jockers ◽  
Peter Mayr ◽  
Urmi Ninad ◽  
Alexander Tabler
Keyword(s):  
Wilson Loop ◽  
Gauge Theories ◽  
Wilson Line ◽  
Quantum Cohomology ◽  
Three Dimensional ◽  
Loop Algebra ◽  
Loop Algebras ◽  
Verlinde Algebra ◽  
K Theory ◽  
Chern Simons

Abstract We study the algebra of Wilson line operators in three-dimensional $$ \mathcal{N} $$ N = 2 supersymmetric U(M ) gauge theories with a Higgs phase related to a complex Grassmannian Gr(M, N ), and its connection to K-theoretic Gromov-Witten invariants for Gr(M, N ). For different Chern-Simons levels, the Wilson loop algebra realizes either the quantum cohomology of Gr(M, N ), isomorphic to the Verlinde algebra for U(M ), or the quantum K-theoretic ring of Schubert structure sheaves studied by mathematicians, or closely related algebras.

A simple method to design interaction potentials able to generate a desired geometrical pattern

2021 ◽  
pp. 116387
Author(s):  
L.A. Padilla ◽  
A. Ramírez-Hernández ◽  
J. Quintana-H ◽  
A.L. Benavides ◽  
J.C. Armas-Perez
Keyword(s):  
Interaction Potentials ◽  
Simple Method ◽  
Geometrical Pattern

Constructing accurate interaction potentials to describe the microsolvation of protonated methane by helium atoms

2017 ◽  
Vol 19 (12) ◽  
pp. 8307-8321 ◽  
Author(s):  
Dennis Kuchenbecker ◽  
Felix Uhl ◽  
Harald Forbert ◽  
Georg Jansen ◽  
Dominik Marx
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Ab Initio ◽  
Path Integral ◽  
Interaction Potential ◽  
Stationary Point ◽  
Path Integral Monte Carlo ◽  
Interaction Potentials ◽  
Helium Atoms

An ab initio-derived interaction potential is derived and used in path integral Monte Carlo simulations to investigate stationary-point structures of CH5+ microsolvated by up to four helium atoms.

AB initio studies of He-Ni and He-Cu interaction potentials

1985 ◽  
Vol 156 ◽  
pp. A330
Author(s):  
H.-O. Beckmann ◽  
J.L. Whitten ◽  
Inder P. Batra
Keyword(s):  
Ab Initio ◽  
Interaction Potentials
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