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arXiv · hep-th/0703052

Dual oscillators and Quantum Pendulums: spectrum and correlators

A. A. Andrianov
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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.

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BibTeXRIS

A. A. Andrianov. 2007-06-04. Dual oscillators and Quantum Pendulums: spectrum and correlators. https://doi.org/10.1103/physrevd.76.025003

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