Shape-Invariance and Many-Body Physics

Abstract

Recent developments in the study of shape-invariant Hamiltonians are briefly summarized. Relations between certain exactly solvable problems in many-body physics and shape-invariance are explored. Connection between Gaudin algebras and supersymmetric quantum mechanics is pointed out.

To appear in the proceedings of "Symmetries in Nuclear Structure, Ettore Majorana Centre, Erice - Sicily, Italy, March 23-29, 2003"; 10 pages of Latex output

References in corpus (3)

• A Class of Exactly Solvable Pairing Models
• Completeness of Coherent States Associated with Self-Similar Potentials and Ramanujan's Integral Extension of the Beta Function
• Supersymmetric and Shape-Invariant Generalization for Nonresonant and Intensity-Dependent Jaynes-Cummings Systems