Wronskian Addition Formula and Darboux-Pöschl-Teller Potentials | Zendy

Pierre Gaillard | Zendy; V. B. Matveev | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Wronskian Addition Formula and Darboux-Pöschl-Teller Potentials

Author(s) -

Pierre Gaillard,

V. B. Matveev

Publication year - 2013

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2013/645752

Subject(s) - wronskian , mathematics , eigenfunction , representation (politics) , hierarchy , korteweg–de vries equation , action (physics) , algebra over a field , point (geometry) , key (lock) , pure mathematics , geometry , quantum mechanics , computer science , eigenvalues and eigenvectors , physics , nonlinear system , politics , political science , economics , law , market economy , computer security

For the famous Darboux-Poschl-Teller equation, we present new wronskian representation both for the potential and the related eigenfunctions. The simplest application of this new formula is the explicit description of dynamics of the DPT potentials and the action of the KdV hierarchy. The key point of the proof is some evaluation formulas for special wronskian determinant.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research