# 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

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topWalter 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 -

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