The theory of one-dimensional Schrödinger operators with a periodic potential
- 1 April 1977
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 18 (4) , 834-848
- https://doi.org/10.1063/1.523313
Abstract
We carry out the spectral analysis of the n‐band Hill equation by examining the external problem for a class of entire functions with least derivation from zero. The spectrum is characterized in terms of hyperellyctic integrals and the geometry of admissible points (band edges).Keywords
This publication has 3 references indexed in Scilit:
- Schr dinger operators with finite-gap spectrum and N-soliton solutions of the Korteweg-de Vries equationTheoretical and Mathematical Physics, 1975
- E-compact extensions of topological spacesFunctional Analysis and Its Applications, 1974
- The soliton: A new concept in applied scienceProceedings of the IEEE, 1973