Descripción del producto
In the present book the classical and quantum dynamics are studied for the three-dimensional isotropic harmonic oscillator, when noncanonical symplectic structures are used, in a classical level we found different couples of hamiltonians and symplectic structures for the usual set of equations of motion, the quantizations were made with Darboux maps and with the help of creation and annhilation operators. The book presents a new method to find complete observables, the method begins with a partial observable and one clock or a set of clocks and we finish with a complete observable. The present work studied the self adjointness for the quantum operators of gauge invariant systems, too.
I appreciate some comments by Gerardo F. Torres del Castillo and Merced Montesinos Velásquez, I would like to dedicate this book to Ammie, Jean and their mother.