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Seminar
FIELD Math:Analysis
DATE March 03 (Wed), 2021
TIME 16:00-18:00
PLACE Online
SPEAKER Nam, Phan Thanh
HOST Lee, Jinyeop
INSTITUTE LMU Munich
TITLE Bogoliubov theory of the excitation spectrum
ABSTRACT We study Bogoliubov’s correction to Hartree’s theory of an interacting Bose gas in the mean-field regime. We show that if the Bose-Einstein condensate exists and non-degenerate, then the excited particles can be effectively described by a quadratic Hamiltonian on Fock space which is exactly the quantization of the Hessian of the Hartree energy functional. This leads to a rigorous formula for the excitation spectrum of the interacting Bose gases.
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