11. Basics of the modern theory of many-particle systems

D. C. Cabra, A. Honecker, Pierre Pujol

Nitin Ramchandra Gadre

The basic particle electron obeys various theories like electrodynamics, quantum mechanics and special relativity. Particle under different experimental conditions behaves differently, allowing us to observe different characteristics which become basis for these theories. In this paper, we have made an attempt to suggest a classical picture by studying the requirements of these three modern theories. The basic presumption is: There must be certain structural characteristics in a particle like electron which make it obey postulates of modern theories. As it is ‘difficult’ to find structure of electron experimentally, we make a mathematical attempt. For a classical approach, we require well defined systems and we have studied a system with two charged particles, proton and electron in a hydrogen atom. An attempt has been made to give a model to describe electron as seen by the proton. We then discuss how the model can satisfy the requirements of the three modern theories in a classical manner. The paper discusses basic aspects of relativity and electrodynamics. However the focus of the paper is on quantum mechanics.

Paul C. Martin, Julian Schwinger

Chang Lin

The paper has analysed the origin of wave-particle dualism of quantum mechanics with historical viewpoint,and the process which was determined.It has pointed out the structure contradiction of quanyum theory in initial stages,and considered that we should properly understand the physical meaning of wave-particle dualism in the system of modern quantum mechanics.It cannot come into existence as the core basic condition of quantum theory and longer,merely is a sort of classic analogy of localization meaning.However,it is anything but a sort of constitute principle of universality.

Stephen J. Gustafson, Israel Michael Sigal