Quantum-fluid state in the quantized hall effect and the two-dimensional classical plasma: The Singwi-Tosi-Land-Sjölander approximation for correlation functions and ground-state energies

1990 ◽  
Vol 76 (1) ◽  
pp. 21-23 ◽  
Author(s):  
Abraham M. Cohen ◽  
Umbelino de Freitas ◽  
Nelson Studart
Keyword(s):  
Hall Effect ◽  
Ground State ◽  
Correlation Functions ◽  
Two Dimensional ◽  
Quantum Fluid ◽  
Fluid State ◽  
Classical Plasma ◽  
Ground State Energies

Calculation of ground-state energies of muonic molecules of hydrogen isotopes confined to a two-dimensional region

1990 ◽  
Vol 41 (7) ◽  
pp. 4049-4051 ◽  
Author(s):  
I. C. da Cunha Lima ◽  
M. Fabbri ◽  
A. Ferreira da Silva ◽  
A. Troper
Keyword(s):  
Ground State ◽  
Hydrogen Isotopes ◽  
Two Dimensional ◽  
Ground State Energies

Ground-state properties of two-dimensional quantum fluid helium: Variational hypernetted chain methods

1997 ◽  
Vol 107 (3-4) ◽  
pp. 283-303 ◽  
Author(s):  
Chung-In Um ◽  
Jae-Rok Kahng ◽  
Young-Seok Kim ◽  
Thomas F. George ◽  
Lakshmi N. Pandey
Keyword(s):  
Ground State ◽  
Two Dimensional ◽  
Quantum Fluid ◽  
Ground State Properties ◽  
Hypernetted Chain

scholarly journals Remarks on the boundary set of spectral equipartitions

2014 ◽  
Vol 372 (2007) ◽  
pp. 20120492 ◽  
Author(s):  
P. Bérard ◽  
B. Helffer
Keyword(s):  
Riemannian Manifold ◽  
Lower Bound ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Two Dimensional ◽  
Nodal Sets ◽  
Nodal Domains ◽  
Open Set ◽  
Ground State Energies

Given a bounded open set in (or in a Riemannian manifold), and a partition of Ω by k open sets ω j , we consider the quantity , where λ ( ω j ) is the ground state energy of the Dirichlet realization of the Laplacian in ω j . We denote by ℒ k ( Ω ) the infimum of over all k -partitions. A minimal k -partition is a partition that realizes the infimum. Although the analysis of minimal k -partitions is rather standard when k =2 (we find the nodal domains of a second eigenfunction), the analysis for higher values of k becomes non-trivial and quite interesting. Minimal partitions are in particular spectral equipartitions, i.e. the ground state energies λ ( ω j ) are all equal. The purpose of this paper is to revisit various properties of nodal sets, and to explore if they are also true for minimal partitions, or more generally for spectral equipartitions. We prove a lower bound for the length of the boundary set of a partition in the two-dimensional situation. We consider estimates involving the cardinality of the partition.

Lower bounds for the ground-state energies of the two-dimensional Hubbard andt-Jmodels

1991 ◽  
Vol 43 (16) ◽  
pp. 13743-13746 ◽  
Author(s):  
Roser Valent ◽  
Joachim Stolze ◽  
P. J. Hirschfeld
Keyword(s):  
Lower Bounds ◽  
Ground State ◽  
Two Dimensional ◽  
Ground State Energies
Sign in / Sign up

Export Citation Format

Share Document