---
title: "The Quantum Harmonic Oscillator on a Circle and a Deformed Quantum Field Theory • CBPF Index"
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**Physics Note****Published**

# **The Quantum Harmonic Oscillator on a Circle and a Deformed Quantum Field Theory**

**Marco Aurélio do Rego Monteiro**

2001

[**Download PDF **0.2 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb413/pdf) [**Contact owner**](mailto:apub@cbpf.br?subject=The%20Quantum%20Harmonic%20Oscillator%20on%20a%20Circle%20and%20a%20Deformed%20Quantum%20Field%20Theory)

## **Publication details**

<dl>

<dt>Authors</dt>
<dd>Marco Aurélio do Rego Monteiro</dd>

<dt>Type</dt>
<dd>Physics Note</dd>

<dt>Status</dt>
<dd>Published</dd>

<dt>Publication date</dt>
<dd>2001</dd>

<dt>Description</dt>
<dd>We construct a deformed free quantum field theory with an standard Hilbert space based on a deformed Heisenberg algebra. This deformed algebra is a Heisenberg-type algebra describing the first levels of the quantum harmonic oscillator on a circle of large length ''L''. The successive energy levels of this quantum harmonic oscillator on a circle of large length ''L'' are interpreted, similarly to the standard quantum one-dimensional harmonic oscillator on an infinite line, as being obtained by the creation of a quantum particle of frequency ''w'' at very high energies.</dd>

<dt>Year</dt>
<dd>2001</dd>

<dt>Number</dt>
<dd>CBPF-NF-034/01</dd>

<dt>Linked to a thesis</dt>
<dd>No</dd>

<dt>Linked to a grant</dt>
<dd>No</dd>

</dl>

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