The Maslov index for Lagrangian pairs on R2n

@article{Howard2017TheMI,
  title={The Maslov index for Lagrangian pairs on R2n},
  author={Peter Howard and Yuri Latushkin and Alim Sukhtayev},
  journal={Journal of Mathematical Analysis and Applications},
  year={2017},
  volume={451},
  pages={794-821}
}
Abstract We discuss a definition of the Maslov index for Lagrangian pairs on R 2 n 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 Schrodinger operators on [ 0 , 1 ] and R . 

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