Acoustic phase lenses in superfluid helium as models of composite spacetimes in general relativity: Classical and quantum features

Дата и время публикации : 1998-02-24T11:16:08Z

Авторы публикации и институты :
Konstantin G. Zloshchastiev

Ссылка на журнал-издание: Acta Phys.Polon. B30 (1999) 897-905
Коментарии к cтатье: final version
Первичная категория: gr-qc

Все категории : gr-qc, cond-mat, hep-ph

Краткий обзор статьи: In the spirit of the well-known analogy between inviscid fluids and pseudo-Riemannian manifolds we study spherical singular hypersurfaces in the static superfluid. Such hypersurfaces turn out to be the interfaces dividing the superfluid into the pairs of spherical domains, examples of which are “superfluid A – superfluid B” or “impurity – superfluid” phases. It is shown that these shells form the acoustic lenses which are the sonic counterparts of the usual optical ones. The exact equations of motion of the lens interfaces are obtained. Also some quantum aspects of the theory are considered. We calculate energy spectra for bound states of acoustic lenses in dynamical equilibrium, taking into account the analogy to a material shell model of a black hole (we consider the cases of spatial topology of a black hole and a wormhole type).

Category: Physics