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Exactly solvable three-body systems with internal degrees of freedom

F Cannata1 and M Ioffe2

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The approach of multi-dimensional SUSY quantum mechanics is used in an explicit construction of exactly solvable three-body (and quasi-exactly-solvable N-body) matrix problems on a line. From intertwining relations with time-dependent operators, we build exactly solvable non-stationary scalar and 2×2 matrix three-body models which are time-dependent extensions of the Calogero model. Finally, we investigate the invariant operators associated with these systems.


PACS

03.65.-w Quantum mechanics

45.50.Jf Few- and many-body systems

MSC

70F07 Three-body problems

81U15 Exactly and quasi-solvable systems

Subjects

Mathematical physics

Quantum information and quantum mechanics

Dates

Issue 6 (16 February 2001)

Received 9 November 2000



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