Wave Approach to Quantum Mechanics

Ewins Ron

Real Wave Quantum Mechanics (RWQM) seeks to demonstrate that standard Quantum Mechanics (QM) can be derived from first principles based entirely on the interactions of real waves in an underlying universal medium. This paper extends previous work on 1 and 2 dimensional applications which used discrete linear/grid structures of entities known as Field Rotators (FRs). It is shown that FRs can be extended continuously in the 3rd dimension to give threadlike forms named FReds. Although continuous, it is shown that the 3rd dimension can be discretized to simplify calculations. Results are similar to those from Schr\"odinger's equation and can be viewed interactively from within the document or directly from the Zenodo site by downloading the appropriate html file. The meaning and role of phase in standard QM is made clear and intuitive by the RWQM approach.

Thomas B. Andrews

Stephen W. McKnight, Christos Zahopoulos

The behavior of classical macroscopic particles – from baseballs to planets – is governed by Newtonian mechanics as we have described in the first chapters of this book. The behavior of very small particles, on the other hand, is governed by an entirely different collection of equations and rules that go under the name of “quantum mechanics” and these particles are referred to as quantum particles. These rules have analogies to classical mechanics, but are fundamentally different and somewhat mysterious as we discussed in Chapter 8. The fundamental principles of quantum mechanics cannot be proven to be correct. They were developed based on the results of experimental observation, by analogy with classical mechanics, and through the consideration of logical implications of the formalisms used. There is no way to derive the fundamental elements of quantum mechanics, any more than one could predict from first principles that Newtonian forces should add as vectors. On the other hand, quantum mechanics is among the most rigorously tested theories in science, and the predictions of quantum mechanics have, so far, always been in agreement with experiment. In this chapter, we will present quantum mechanics as a series of postulates and examine their implications in application to simple one-dimensional systems. In the next chapter we will examine quantum effects in real systems including atoms, molecules, crystals, and artificially engineered nano-structures. Postulates of quantum mechanics QM Postulate 1: A quantum particle is described by a wave function Ψ( x , y , z , t ) which is a function of spatial coordinates and time. All physically determinable quantities can be derived from the wave function Ψ( x , y , z , t ) ; quantities which cannot be found from the wave function are not physically meaningful. Note that some things that one could ask about a quantum particle, for example the exact position and simultaneous exact momentum of a particle, are not derivable from the wave function and are therefore considered indeterminate (or uncertain ). These are things which cannot ever be known about a particle, and, as such, they are meaningless to contemplate.

Arthur Haas, L. W. Codd

Alexander G. Kyriakos

The suggested theory is the new quantum mechanics (QM) interpretation.The research proves that QM represents the electrodynamics of the curvilinear closed (non-linear) waves. It is entirely according to the modern interpretation and explains the particularities and the results of the quantum field theory.