A new theory of superfluidity

The understanding of superfluidity represents one of the most challenging problems in modern physics. From the observations of [1-3], in various respects the Bogoliubov theory [4—8] is not appropriate as the model of superfluidity for Helium 4. His outstanding achievement, i.e., the derivation of the Landau-type excitation spectrum [9, 10] from the full interacting Hamiltonian, is based on a series of recipes or approximations, which were shown to be wrong, even from their starting point [11—14]. We therefore present some very promising new results performed in [15]. In particular, we explain a new theory of superfluidity at all temperatures. At this point we then touch one of the most fascinating problems of contemporary mathematical physics the proof of the existence of superfluidity in interacting (non-dilute) systems