On a Class of Non Self-Adjoint Quantum Nonlinear Oscillators with Real Spectrum

DOI

10.2991/jnmp.2005.12.s1.12How to use a DOI?

Abstract

We prove reality of the spectrum for a class of PT - symmetric, non self-adjoint quantum nonlinear oscillators of the form H = p2 + P(q) + igQ(q). Here P(q) is an even polynomial of degree 2p positive at infinity, Q(q) an odd polynomial of degree 2r - 1, and the conditions p > 2r, |g| < R for some R > 0 hold.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Emanuela Caliceti
AU  - Sandro Graffi
PY  - 2005
DA  - 2005/01/01
TI  - On a Class of Non Self-Adjoint Quantum Nonlinear Oscillators with Real Spectrum
JO  - Journal of Nonlinear Mathematical Physics
SP  - 138
EP  - 145
VL  - 12
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2005.12.s1.12
DO  - 10.2991/jnmp.2005.12.s1.12
ID  - Caliceti2005
ER  -