Dae-Yup Song and John R Klauder 2003 J. Phys. A: Math. Gen. 36 8673 doi:10.1088/0305-4470/36/32/308
Dae-Yup Song1,2 and John R Klauder3
Show affiliationsThe 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.
81R30 Coherent states (See also 22E45); squeezed states (See also 81V80)
Issue 32 (15 August 2003)
Received 29 May 2003
Published 29 July 2003
Dae-Yup Song and John R Klauder 2003 J. Phys. A: Math. Gen. 36 8673
Martin Oheim and Florian Schapper 2005 J. Phys. D: Appl. Phys. 38 R185
Branimir Sesar et al. 2010 ApJ 708 717
Sreeja Rajesh et al 2005 Smart Mater. Struct. 14 413
S Torven et al 1985 Plasma Phys. Control. Fusion 27 143
Ferdinand Peper et al 2003 Nanotechnology 14 469
A Moroz 1994 J. Phys.: Condens. Matter 6 171
Julien Laurat et al 2007 New J. Phys. 9 207
S E Venegas-Andraca et al 2005 New J. Phys. 7 221
J G Titus et al 2009 Environ. Res. Lett. 4 044008