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Dense Summary of New Developments in Quantum Mechanics

Espen Gaarder Haug

Published Jan 1, 2020• 0 citations
Publisher

Abstract

In this note, we present a table with a summary of recent developments in quantum mechanics. If you not have studied our papers carefully already [1–4], then this paper will not make much sense and the equations could easily be misunderstood, so we strongly encourage the reader to become familiar with this material first. We will possibly write a long paper on this topic later, but it may be helpful to present the essence of both old and new QM, as we understand it today. This is useful for both tracing the history of ideas related to QM in mathematical form and for creating an opportunity to compare equations and analyze their similarities and differences.

DOI
10.13140/rg.2.2.12849.61285

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In the course of lectures on quantum mechanics delivered for the undergraduate students of this university I have encountered a number of examples of more or less novelty and interest, which I want here in a series of papers to present before a wider circle. Since the familiarity with all kinds of problems leads eventually to a better understanding of quantum mechanics, just as we have been possessed with the complete master of classical mechanics only through the numerous exercises in schools, it would, I hope, be of some service for a future development of quantum theory. Some of matters I present are of older date and some of recent date.
These lectures covering topics basic to classical and modern physics were given by Pauli at the Zurich Federal Institute, where they were transcribed by his collaborators. They have now been translated and edited for English publication, and are introduced by Victor Weisskopf, who writes as follows: It is often said that scientific texts quickly become obsolete. Why are the Pauli lectures brought to the public today, when some of them were given as long as twenty years ago? The reason is simple: Pauli's way of presenting physics is never out of date. His famous article on the foundations of quantum mechanics appeared in 1933 in the German encyclopedia Handbuch der Physik. Twenty-five years later it reappeared practically unchanged in a new edition, whereas most other contributions to this encyclopedia had to be completely rewritten. The reason for this remarkable fact lies in Pauli's style, which is commensurate to the greatness of its subject in its clarity and impact. Style in scientific writing is a quality that today is on the point of vanishing. The pressure of fast publication is so great that people rush into print with hurriedly written papers and books that show little concern for careful formulation of ideas. Mathematical and instrumental techniques have become complicated and difficult today; they demand so much skill and training that most of the effort of writing and learning is devoted to the acquisition of this skill instead of insight into important concepts. Essential ideas of physics are often lost in the dense forest of mathematical reasoning. This situation need not be so. Pauli's lectures show how physical ideas can be presented clearly and in good mathematical form, without being hidden in formalistic expertise.
Abstract This chapter gives an overview of the theory of optical absorption and emission in atoms at the level appropriate to introductory quantum and atomic-physics texts. The aim is to provide an introduction to the more advanced treatment of these topics given later in the book, especially in Chapters 9 and 10. It is assumed that the reader is reasonably familiar with the concepts, and so the material is only developed in summary form. Readers who are less well acquainted with these topics may find it helpful to refer to the bibliography for further details.
This book provides the reader with an explanation of the origin and establishment of quantum mechanics together with a descriptive survey of developments up to the present day. The mathematics is presented in a digestible form yet following the original approach. This second edition presents two new chapters to supplement and extend the first edition material. "Interpretations of Quantum Mechanics" surveys a wide range of current topics, including the multiverse, 't Hooft's ideas for a deterministic local field theory, a summary of the de Broglie-Bohm pilot-wave theory and Anthony Valentini's development of it, and speculative concluding comments on the way ahead.