Algebraic Theory of the Three-Body Problem

F. Iachello
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F. Iachello: Sloane Physics Laboratory Yale University, Center for Theoretical Physics

A chapter in Symmetries in Science VIII, 1995, pp 213-232 from Springer

Abstract: 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).

Date: 1995
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DOI: 10.1007/978-1-4615-1915-7_16

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