Analysis of the Bogoliubov free energy functional: a variational description of a weakly-interacting Bose gas
Publikation: Bog/antologi/afhandling/rapport › Ph.d.-afhandling › Forskning
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Analysis of the Bogoliubov free energy functional : a variational description of a weakly-interacting Bose gas. / Reuvers, Robin.
Department of Mathematical Sciences, Faculty of Science, University of Copenhagen, 2016.Publikation: Bog/antologi/afhandling/rapport › Ph.d.-afhandling › Forskning
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TY - BOOK
T1 - Analysis of the Bogoliubov free energy functional
T2 - a variational description of a weakly-interacting Bose gas
AU - Reuvers, Robin
PY - 2016
Y1 - 2016
N2 - In this thesis, we analyse a variational reformulation of the Bogoliubov approximation that is used todescribe weakly-interacting translationally-invariant Bose gases. For the resulting model, the `Bogoliubovfree energy functional', we demonstrate existence of minimizers as well as the presence of a phasetransition to Bose{Einstein condensation, and establish the phase diagram. We also give a calculation ofthe critical temperature assuming the gas is dilute, and nd that it agrees with earlier numerical studies.The thesis contains an introduction, a physical review paper outlining the main results and ideas,and two mathematical papers with detailed proofs
AB - In this thesis, we analyse a variational reformulation of the Bogoliubov approximation that is used todescribe weakly-interacting translationally-invariant Bose gases. For the resulting model, the `Bogoliubovfree energy functional', we demonstrate existence of minimizers as well as the presence of a phasetransition to Bose{Einstein condensation, and establish the phase diagram. We also give a calculation ofthe critical temperature assuming the gas is dilute, and nd that it agrees with earlier numerical studies.The thesis contains an introduction, a physical review paper outlining the main results and ideas,and two mathematical papers with detailed proofs
UR - https://soeg.kb.dk/permalink/45KBDK_KGL/1pioq0f/alma99122937583405763
M3 - Ph.D. thesis
BT - Analysis of the Bogoliubov free energy functional
PB - Department of Mathematical Sciences, Faculty of Science, University of Copenhagen
ER -
ID: 172024918