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Open Quantum Systems Decoherence
Quantum Simulation
New (Ghost-Free) Formulation of the Pais-Uhlenbeck Oscillator
arXiv
Authors: Rabin Banerjee
Year
2013
Paper ID
33101
Status
Preprint
Abstract Read
~2 min
Abstract Words
87
Citations
N/A
Abstract
We provide a new formulation of the Pais-Uhlenbeck oscillator which is a prototype of a higher derivative model. Different parametrisations that reveal the model as a combination of two simple harmonic oscillators are introduced. Conventional results are reproduced in one realisation. In another, all problems related to lack of unitarity or boundedness of energy are eliminated since the hamiltonian is expressed as a sum of the hamiltonians of two decoupled harmonic oscillators. Recourse to imaginary scaling transformation or PT-symmetry, as advocated in the literature, are totally avoided.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- We provide a new formulation of the Pais-Uhlenbeck oscillator which is a prototype of a higher derivative model.
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