Dual oscillators and Quantum Pendulums: spectrum and correlators
High Energy Physics - Theory
2008-11-26 v3 Mathematical Physics
math.MP
Nuclear Theory
Atomic Physics
Quantum Physics
Abstract
We outline the nonlinear transformation in the path integral representation for partition function of O(N) symmetric oscillator systems bringing their duality to certain one-dimensional oscillators with unstable potential shapes. This duality transformation realizes the equivalence between spectra of a Hermitian and a non-Hermitian Hamiltonians. It is exploited to calculate exactly the spectra of quantum rotators . The zero-temperature limit is considered and the dual representation of n-point correlators of coordinate operators is obtained.
Keywords
Cite
@article{arxiv.hep-th/0703052,
title = {Dual oscillators and Quantum Pendulums: spectrum and correlators},
author = {A. A. Andrianov},
journal= {arXiv preprint arXiv:hep-th/0703052},
year = {2008}
}
Comments
12 pages, substantial changes: calculation of correlators added