On the superfluidity of classical liquid in nanotubes,I. Case of even number of neutrons

We show that the superfluidity effect in nanotubes arises in a classical liquid (regarded as the limit as h → 0 of the quantum liquid) and involves not only the Bogolyubov “running waves,” but also a “standing wave.” This is obtained from the variational equations in the context of ultrasecondary quantization. It is stressed that the “atomic” size of the nanotube plays a crucial role in the phenomena.