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Algebraic Theory of the Three-Body Problem

In: Symmetries in Science VIII

Author

Listed:
  • F. Iachello

    (Sloane Physics Laboratory Yale University, Center for Theoretical Physics)

Abstract

The three-body problem appears in many branches of physics (Fig.1). Many techniques have been developed to solve the non-relativistic quantum mechanical problem for 3 particles interacting through a two-body or three-body force. These techniques are designed to solve the differential or integro-differential Schrodinger equation. In this article, an alternative formulation of the three-body is given, in terms of Lie algebras. This formulation provides a framework for detailed calculations and, most importantly, allows one to classify all solutions that can be obtained in closed form (exactly solvable problems).

Suggested Citation

  • F. Iachello, 1995. "Algebraic Theory of the Three-Body Problem," Springer Books, in: Bruno Gruber (ed.), Symmetries in Science VIII, pages 213-232, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4615-1915-7_16
    DOI: 10.1007/978-1-4615-1915-7_16
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