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math-ph2015★ 38 cited
Bogoliubov correction to the mean-field dynamics of interacting bosons
Phan Thành Nam, Marcin Napiórkowski
We consider the dynamics of a large quantum system of identical bosons in 3D interacting via a two-body potential of the form . For fixed an…
math-ph2015
Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations
Phan Thành Nam, Marcin Napiórkowski, Jan Philip Solovej
We provide general conditions for which bosonic quadratic Hamiltonians on Fock spaces can be diagonalized by Bogoliubov transformations. Our results cover the case when quantum sys…