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math-ph2019
Ground state energy of a dilute two-dimensional Bose gas from the Bogoliubov free energy functional
Søren Fournais, Marcin Napiórkowski, Robin Reuvers +1
We extend the analysis of the Bogoliubov free energy functional to two dimensions at very low temperatures. For sufficiently weak interactions, we prove two term asymptotics for th…
math-ph2018
Recent advances in the theory of Bogoliubov Hamiltonians
Marcin Napiórkowski
Bosonic quadratic Hamiltonians, often called Bogoliubov Hamiltonians, play an important role in the theory of many-boson systems where they arise in a natural way as an approximati…