42 citations · 106 across the 4 of their papers we have counts for
4 papers
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…
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…
Wigner Distribution Functions and the Representation of Canonical Transformations in Time-Dependent Quantum Mechanics
Dieter Schuch, Marcos Moshinsky
For classical canonical transformations, one can, using the Wigner transformation, pass from their representation in Hilbert space to a kernel in phase space. In this paper it will…
Riccati and Ermakov Equations in Time-Dependent and Time-Independent Quantum Systems
Dieter Schuch
The time-evolution of the maximum and the width of exact analytic wave packet (WP) solutions of the time-dependent Schrödinger equation (SE) represents the particle and wave aspect…