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On the exact discretization of the classical harmonic oscillator equation

✍ Scribed by Cieśliński, Jan L.

Book ID
127254894
Publisher
Taylor and Francis Group
Year
2011
Tongue
English
Weight
209 KB
Volume
17
Category
Article
ISSN
1023-6198

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Exact discretization of the Ermakov–Pinn
Exact discretization of the Ermakov–Pinney equation
✍ A.N.W. Hone 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 76 KB

Making use of the link with Schrodinger operators and the Darboux transformation, a Backlund transformation BT for ¨Ž . the continuous Ermakov-Pinney equation is constructed. By considering two applications of the BT we obtain a second order discrete equation, which is naturally interpreted as the e