×

On a complete description of the principal discrete series of spectral invariants of the Hill operator. (English) Zbl 0728.34090

Order, disorder and chaos in quantum systems, Proc. Conf., Dubna/USSR 1989, Oper. Theory, Adv. Appl. 46, 115-117 (1990).
[For the entire collection see Zbl 0708.00010.]
The author establishes a connection between the principal discrete series of spectral invariants of the Hill operator and first integrals of the Korteweg-de Vries equation.
Reviewer: D.Robert (Nantes)

MSC:

34L10 Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators
47E05 General theory of ordinary differential operators
34B30 Special ordinary differential equations (Mathieu, Hill, Bessel, etc.)
34L40 Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.)

Citations:

Zbl 0708.00010
PDFBibTeX XMLCite