MAURO SPERA

Professore ordinario

Facoltà di SCIENZE MATEMATICHE, FISICHE E NATURALI

Sede di  Brescia

Dipartimento di Matematica e fisica - Niccolò Tartaglia

Orario di ricevimento:

Nei giorni di lezione e su appuntamento

CONTATTI:

Telefono 030 2406 721
e-mail: mauro.spera@unicatt.it

Principali Pubblicazioni

Articoli su riviste scientifiche

On some hydrodynamical aspects of quantum mechanics

AUTORE

Spera, Mauro

ANNO DI PUBBLICAZIONE

2010

TITOLO PERIODICO

CENTRAL EUROPEAN JOURNAL OF PHYSICS

PAGINE PERIODICO

42 - 48

EDITORE

Versita

In this note we first set up an analogy between spin and vorticity of a perfect 2d-fluid flow, based on the complex polynomial (i.e. Borel-Weil) realization of the irreducible unitary representations of SU(2), and looking at the Madelung-Bohm velocity attached to the ensuing spin wave functions. We also show that, in the framework of finite dimensional geometric quantum mechanics, the Schrödinger velocity field on projective
Hilbert space is divergence-free (being Killing with respect to the Fubini-Study metric) and fulfils the
stationary Euler equation, with pressure proportional to the Hamiltonian uncertainty (squared). We explicitly determine the critical points of the pressure of this “Schrödinger fluid”, together with its vorticity, which turns out to depend on the spacings of the energy levels. These results follow from hydrodynamical properties of Killing vector fields valid in any (finite dimensional) Riemannian manifold, of possible independent
interest.

Link

10.2478/s11534-009-0070-4
Scheda publicatt
Copyright ©2008-2009 Università Cattolica del Sacro Cuore. Tutti i diritti riservati.
PPD v2.4.5