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A generalized Jaynes-Cummings Hamiltonian and supersymmetric shape invariance

A N F Aleixo1,4, A B Balantekin2,5 and M A Cândido Ribeiro3

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A class of shape-invariant bound-state problems which represent two-level systems are introduced. It is shown that the coupled-channel Hamiltonians obtained correspond to the generalization of the Jaynes-Cummings Hamiltonian.


PACS

03.65.Ge Solutions of wave equations: bound states

03.65.Fd Algebraic methods

MSC

70Hxx Hamiltonian and Lagrangian mechanics (See also 37Jxx)

81Q60 Supersymmetric quantum mechanics

Subjects

Quantum information and quantum mechanics

Dates

Issue 16 (28 April 2000)

Received 13 January 2000



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