The Maslov index for Lagrangian pairs on R2n Academic Article uri icon

abstract

  • 2017 Elsevier Inc. We discuss a definition of the Maslov index for Lagrangian pairs on R2n based on spectral flow, and develop many of its salient properties. We provide two applications to illustrate how our approach leads to a straightforward analysis of the relationship between the Maslov index and the Morse index for Schrdinger operators on [0,1] and R.

published proceedings

  • Journal of Mathematical Analysis and Applications

author list (cited authors)

  • Howard, P., Latushkin, Y., & Sukhtayev, A.

citation count

  • 11

complete list of authors

  • Howard, P||Latushkin, Y||Sukhtayev, A

publication date

  • July 2017