Generalized Niederer's transformation for quantum Pais-Uhlenbeck oscillator
K. Andrzejewski
TL;DR
This paper extends Niederer's transformation to the quantum Pais-Uhlenbeck oscillator, constructing a unitary operator that maps free higher derivatives theories to the oscillator, revealing new insights into their quantum relationship.
Contribution
It introduces a quantum version of Niederer's transformation for the Pais-Uhlenbeck oscillator, providing a novel unitary operator linking free theories and oscillators.
Findings
Constructed a unitary operator for the quantum transformation.
Discussed consequences of the quantum Niederer's transformation.
Extended classical results to the quantum domain.
Abstract
We extend, to the quantum domain, the results obtained in [Nucl. Phys. B 885 (2014) 150] and [Phys. Lett. B 738 (2014) 405] concerning the Niederer's transformation for the Pais-Uhlenbeck oscillator. Namely, the quantum counterpart (an unitary operator) of the transformation which maps the free higher derivatives theory into the Pais-Uhlenbeck oscillator is constructed. Some consequences of this transformation are discussed.
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