Physics NotePublished
The Quantum Harmonic Oscillator on a Circle and a Deformed Quantum Field Theory
Marco Aurélio do Rego Monteiro
2001
Publication details
- Authors
- Marco Aurélio do Rego Monteiro
- Type
- Physics Note
- Status
- Published
- Publication date
- 2001
- Description
- 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.
- Year
- 2001
- Number
- CBPF-NF-034/01
- Linked to a thesis
- No
- Linked to a grant
- No