Please use this identifier to cite or link to this item:
Title: The equally spaced energy levels of the quantum harmonic oscillator revisited: a back-to-front reconstruction of an n-body Hamiltonian
Authors: Robinson, Terry
First Published: 31-Aug-2017
Publisher: European Physical Society
Citation: European Journal of Physics, 2017, in press
Abstract: The "back-to-front" derivation of the properties of the quantum harmonic oscillator, starting with its equally spaced energy levels is re-examined. A new derivation that exploits the natural rotational symmetry of the quantum harmonic oscillator is proposed. The new approach allows the "back-to-front" idea to be extended further by showing that it is possible to derive the Hamiltonian of a system of particles from the starting point that the population is represented by a natural number. This involves the symmetry properties of phasors and Schwinger's theory of angular momentum. The analysis is also extended to multi-mode bosonic systems and fermionic systems. It is suggested that these results offer an alternative way to formulate physics, based on discreteness.
DOI Link: 10.1088/1361-6404/aa8966
ISSN: 0143-0807
eISSN: 1361-6404
Version: Post-print
Status: Peer-reviewed
Type: Journal Article
Rights: Copyright © European Physical Society 2017. After an embargo period this version of the paper will be an open-access article distributed under the terms of the Creative Commons Attribution-Non Commercial-No Derivatives License (, which permits use and distribution in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made.
Description: The file associated with this record is under embargo until 12 months after publication, in accordance with the publisher's self-archiving policy. The full text may be available through the publisher links provided above.
Appears in Collections:Published Articles, Dept. of Physics and Astronomy

Files in This Item:
File Description SizeFormat 
EJPQHOREVISIT201703.pdfPost-review (final submitted author manuscript)254.16 kBAdobe PDFView/Open

Items in LRA are protected by copyright, with all rights reserved, unless otherwise indicated.