The important concepts of particle and wave have been extremely significant in science, technology and the society as a whole. There are several questions on each of these and their united nature. The duality and dilemma questions are still there for us to successfully tackle. Paradoxes and enigmas abound while dealing with the fundamental character of matter and radiation.
Defining the macrovariable in a macroscopic system by the average of a large number \(N\) of microscopic degrees, the author describes a number of issues emerging as this \(N\) tends to infinity. The main purpose of the paper is to explain the simultaneous existence of two apparently incompatible dynamical degrees and rules governing them, in a macroscopic system, within the framework of ordinary quantum mechanics. Starting with clearly mentioning about the role of macrovariables in ordinary life, the author discusses stationary case and separable and non-separable cases. Theory of measurement is developed followed by the field theory, both Hermitian as well as non-Hermitian. This is accompanied by treating the \(N\)-particle system with theorems and proofs and ending with a discussion of the problem of dissipation in a new context. Next comes the consideration of time average and time evolution, adding thus to the value of this monograph with a good deal of models set up. The final section contains ten useful appendices, including one on Feynman rules.
The theory of stationary phase is applied to the quantum mechanical measuring process. For reduction mechanism, a fresh model is proposed where any object can have a deterministic trajectory in a time scale which is much smaller than the ordinary one.
The author has taken much care to provide detailed descriptions of ideas, derivations and conclusions. There are 604 equations, 9 figures and 136 valuable references including the author’s own.