14 citations · 24 across the 3 of their papers we have counts for
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Generalization of the Darboux transformation and generalized harmonic oscillators
Dae-Yup Song, John R. Klauder
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 -fold…
Unitary relation for the time-dependent SU(1,1) systems
Dae-Yup Song
The system whose Hamiltonian is a linear combination of the generators of SU(1,1) group with time-dependent coefficients is studied. It is shown that there is a unitary relation be…
Harmonic Oscillator, Coherent States, and Feynman Path Integral
Dae-Yup Song
The Feynman path integral for the generalized harmonic oscillator is reviewed, and it is shown that the path integral can be used to find a complete set of wave functions for the o…
Exact coherent states in one-dimensional quantum many-body systems with inverse-square interactions
Dae-Yup Song
For the models of -body identical harmonic oscillators interacting through potentials of homogeneous degree -2, the unitary operator that transforms a system of time-dependent p…
Geometric phases in the simple harmonic and perturbative Mathieu's oscillator systems
JeongHyeong Park, Dae-Yup Song
Geometric phases of simple harmonic oscillator system are studied. Complete sets of "eigenfunctions" are constructed, which depend on the way of choosing classical solutions. For a…
Berry phase in the simple harmonic oscillator
JeongHyeong Park, Dae-Yup Song
Berry phase of simple harmonic oscillator is considered in a general representation. It is shown that, Berry phase which depends on the choice of representation can be defined unde…