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• W3100768445 abstract "The Darbroux transformation is generalized for time-dependent Hamiltonian systems which include a term linear in momentum and a time-dependent mass. The formalism for the N-fold application of the transformation is also established, and these formalisms are applied for a general quadratic system (a generalized harmonic oscillator) and a quadratic system with an inverse-square interaction up to N = 2. Among the new features found, it is shown, for the general quadratic system, that the shape of potential difference between the original system and the transformed system could oscillate according to a classical solution, which is related to the existence of coherent states in the system." @default.
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• W3100768445 date "2003-07-29" @default.
• W3100768445 modified "2023-10-16" @default.
• W3100768445 title "Generalization of the Darboux transformation and generalized harmonic oscillators" @default.
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• W3100768445 doi "https://doi.org/10.1088/0305-4470/36/32/308" @default.
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