The path of Psi
Quantum Theory / Particle Physics
May 2, 2012
Since in a paper of the author to be published, the talk is on a transformation of the wave function ψ such that it is seen constant in time through taking its total time differential and its treating as a dimensionless parameter, to begin with we are going to examine a path of the differential of the wave function d ψ in the complex domain of its definition in a special way. What is different in this research we will attempt to carry out is that we are not going to be calculating the elementary length of the orbit of ψ described in the complex plane, but instead we will use the concept of estimating the absolute value of the differential of a complex function such as is ψ. What needs to be realized is that the axes this time are a count for the differential of the complex coordinates and not their measure. The usefulness of such a calculation would lie in evaluating some integral in terms of the very d ψ as it will be shown, along with other possible uses as would be finding out absolute values of differentials of different quantum mechanical quantities. The obvious question to be answered of course lies in what is the physical meaning of counting in terms of d ψ .The reader will be prompted throughout the text to refer to a book on Riemann surfaces.