373 research outputs found
Cole-Hopf Like Transformation for Schr\"odinger Equations Containing Complex Nonlinearities
We consider systems, which conserve the particle number and are described by
Schr\"odinger equations containing complex nonlinearities. In the case of
canonical systems, we study their main symmetries and conservation laws. We
introduce a Cole-Hopf like transformation both for canonical and noncanonical
systems, which changes the evolution equation into another one containing
purely real nonlinearities, and reduces the continuity equation to the standard
form of the linear theory. This approach allows us to treat, in a unifying
scheme, a wide variety of canonical and noncanonical nonlinear systems, some of
them already known in the literature. pacs{PACS number(s): 02.30.Jr, 03.50.-z,
03.65.-w, 05.45.-a, 11.30.Na, 11.40.DwComment: 26 pages, no figures, to be appear in J. Phys. A: Math. Gen. (2002
Kalb-Ramond interaction for a closed p-brane
The Kalb-Ramond action for an interacting string is generalized to the case
of a high-dimensional object (p-brane). The interaction is found to be mediated
by a gauge boson of a completely antisymmetric tensor of rank .Comment: 7 page
Covariant Duality Symmetric Actions
A manifestly Lorentz and diffeomorphism invariant form for the abelian gauge
field action with local duality symmetry of Schwarz and Sen is given. Some of
the underlying symmetries of the covariant action are further considered. The
Noether conserved charge under continuous local duality rotations is found. The
covariant couplings with gravity and the axidilaton field are discussed.Comment: 9 pages, revtex, no figures; (To appear in Physical Review D
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