The Moutard transformation: an algebraic formalism via pseudodifferential operators and applications

Details The Moutard transformation: an algebraic formalism via pseudodifferential operators and applications The Moutard transformation: an algebraic formalism via pseudodifferential operators and applications

2009-06-28

arxiv.org/abs/0906.5141v1

OCAMI (Osaka City University Advanced Mathematical Institute) Study Series, V. 3, 2010, pp. 171-185

Physics

Mathematical Physics

15 pages, 2 figures

Scientific paper

We consider the Moutard transformation which is a two-dimensional version of the well-known Darboux transformation. We give an algebraic interpretation of the Moutard transformation as a conjugation in an appropriate ring and the corresponding version of the algebro-geometric formalism for two-dimensional Schroedinger operators. An application to some problems of the spectral theory of two-dimensional Schroedinger operators and to the $(2+1)$-dimensional Novikov--Veselov equation is sketched.

Affiliated with

Also associated with

No associations

Rating

The Moutard transformation: an algebraic formalism via pseudodifferential operators and applications does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Moutard transformation: an algebraic formalism via pseudodifferential operators and applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Moutard transformation: an algebraic formalism via pseudodifferential operators and applications will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-180646