Dual oscillators and Quantum Pendulums: spectrum and correlators

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dc.creatorAndrianov, A. A.
dc.date2007-03-06
dc.date2007-06-04
dc.date.accessioned2026-07-07T11:59:43Z
dc.date.available2026-07-07T11:59:43Z
dc.descriptionWe 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.
dc.description12 pages, substantial changes: calculation of correlators added
dc.identifierhttps://arxiv.org/abs/hep-th/0703052
dc.identifierhttp://arxiv.org/abs/hep-th/0703052
dc.identifierPhys.Rev.D76:025003,2007
dc.identifierdoi:10.1103/PhysRevD.76.025003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/206666
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectNuclear Theory
dc.subjectAtomic Physics
dc.subjectQuantum Physics
dc.titleDual oscillators and Quantum Pendulums: spectrum and correlators
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