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Conditionally exactly solvable potentials and supersymmetric transformations

✍ Scribed by Géza Lévai; Pinaki Roy

Book ID
104337939
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
68 KB
Volume
264
Category
Article
ISSN
0375-9601

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✦ Synopsis

A general procedure is presented to construct conditionally exactly solvable CES potentials using the techniques of supersymmetric quantum mechanics. The method is illustrated with potentials related to the harmonic oscillator problem. Besides recovering known results, new CES potentials are also obtained within the framework of this general approach. The conditions under which this method leads to CES potentials are also discussed.

📜 SIMILAR VOLUMES

Conditionally Exactly Solvable Potential
Conditionally Exactly Solvable Potentials: A Supersymmetric Construction Method
✍ Georg Junker; Pinaki Roy 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 967 KB

We present in this paper a rather general method for the construction of so-called conditionally exactly solvable potentials. This method is based on algebraic tools known from supersymmetric quantum mechanics. Various families of one-dimensional potentials are constructed whose corresponding Schro