On phase segregation in nonlocal two-particle Hartree systems

Walter Aschbacher; Marco Squassina

Open Mathematics (2009)

  • Volume: 7, Issue: 2, page 230-248
  • ISSN: 2391-5455

Abstract

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We prove the phase segregation phenomenon to occur in the ground state solutions of an interacting system of two self-coupled repulsive Hartree equations for large nonlinear and nonlocal interactions. A self-consistent numerical investigation visualizes the approach to this segregated regime.

How to cite

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Walter Aschbacher, and Marco Squassina. "On phase segregation in nonlocal two-particle Hartree systems." Open Mathematics 7.2 (2009): 230-248. <http://eudml.org/doc/269648>.

@article{WalterAschbacher2009,
abstract = {We prove the phase segregation phenomenon to occur in the ground state solutions of an interacting system of two self-coupled repulsive Hartree equations for large nonlinear and nonlocal interactions. A self-consistent numerical investigation visualizes the approach to this segregated regime.},
author = {Walter Aschbacher, Marco Squassina},
journal = {Open Mathematics},
keywords = {Coupled Hartree equations; Quantum many-body problem; Hartree approximation; Ground states solutions; Phase segregation; Finite elements; Self-consistent iteration; coupled Hartree equations; quantum many-body problem; ground states solutions; phase segregation; finite elements; self-consistent iteration},
language = {eng},
number = {2},
pages = {230-248},
title = {On phase segregation in nonlocal two-particle Hartree systems},
url = {http://eudml.org/doc/269648},
volume = {7},
year = {2009},
}

TY - JOUR
AU - Walter Aschbacher
AU - Marco Squassina
TI - On phase segregation in nonlocal two-particle Hartree systems
JO - Open Mathematics
PY - 2009
VL - 7
IS - 2
SP - 230
EP - 248
AB - We prove the phase segregation phenomenon to occur in the ground state solutions of an interacting system of two self-coupled repulsive Hartree equations for large nonlinear and nonlocal interactions. A self-consistent numerical investigation visualizes the approach to this segregated regime.
LA - eng
KW - Coupled Hartree equations; Quantum many-body problem; Hartree approximation; Ground states solutions; Phase segregation; Finite elements; Self-consistent iteration; coupled Hartree equations; quantum many-body problem; ground states solutions; phase segregation; finite elements; self-consistent iteration
UR - http://eudml.org/doc/269648
ER -

References

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