ABSTRACT
We present a Lie algebraic approach to a Hamiltonian class covering driven, parametric quantum harmonic oscillators where the parameter set-mass, frequency, driving strength, and parametric pumping-is time-dependent. Our unitary-transformation-based approach provides a solution to our general quadratic time-dependent quantum harmonic model. As an example, we show an analytic solution to the periodically driven quantum harmonic oscillator without the rotating wave approximation; it works for any given detuning and coupling strength regime. For the sake of validation, we provide an analytic solution to the historical Caldirola-Kanai quantum harmonic oscillator and show that there exists a unitary transformation within our framework that takes a generalized version of it onto the Paul trap Hamiltonian. In addition, we show how our approach provides the dynamics of generalized models whose Schrödinger equation becomes numerically unstable in the laboratory frame.
Subject(s)
Education, Pharmacy, Continuing , Family Planning Services , Health Education , Humans , MexicoABSTRACT
Se expone el desarollo y elaboracion tecnica y administrativa de un curso para farmaceuticos en cooperacion con la Coordinacion Nacional de Planificacion Familiar y con asistencia economica del PathFinder Fund. El programa se condujo en farmacias de zonas aledanas al Distrito Federal, no mas lejos de dos horas en automovil e incluyo conocimientos sobre demografia, lactancia, vacunacion, enfermedades de transmision sexual, fisiologia de la reproduccion y metodologia de la anticoncepcion. Se hicieron 24 cursos y se dio instruccion a 507 personas, 379 boticarios