45 citations · 178 across the 7 of their papers we have counts for
8 papers
Nonlinear Description of Quantum Dynamics. Generalized Coherent States
Hans Cruz-Prado, Giuseppe Marmo, Dieter Schuch +1
In this work it is shown that there is an inherent nonlinear evolution in the dynamics of the so-called generalized coherent states. To show this, the immersion of a classical mani…
Time-evolution of quantum systems via a complex nonlinear Riccati equation II. Dissipative systems
Hans Cruz, Dieter Schuch, Octavio Castanos +1
In our former contribution [Ann. Phys. 360 (2015) 44], we have shown the sensitivity to the choice of initial conditions in the evolution of Gaussian wave packets via the nonlinear…
Time-evolution of quantum systems via a complex nonlinear Riccati equation. I. Conservative systems with time-independent Hamiltonian
Hans Cruz, Dieter Schuch, Octavio Castaños +1
The sensitivity of the evolution of quantum uncertainties to the choice of the initial conditions is shown via a complex nonlinear Riccati equation leading to a reformulation of qu…
New supersymmetry-generated complex potentials with real spectra
Oscar Rosas-Ortiz, Octavio Castanos, Dieter Schuch
A new form to construct complex superpotentials that produce real energy spectra in supersymmetric quantum mechanics is presented. This is based on the relation between the nonline…
Interrelations between different canonical descriptions of dissipative systems
Dieter Schuch, Julio Guerrero, Francisco F. López-Ruiz +1
There are many approaches for the description of dissipative systems coupled to some kind of environment. This environment can be described in different ways; only effective models…
Generalized coherent states for time-dependent and nonlinear Hamiltonians via complex Riccati equations
Octavio Castaños, Dieter Schuch, Oscar Rosas-Ortiz
Based on the Gaussian wave packet solution for the harmonic oscillator and the corresponding creation and annihilation operators, a generalization is presented that also applies fo…