# Generalized Niederer's transformation for quantum Pais-Uhlenbeck oscillator

Source: [Generalized Niederer's transformation for quantum Pais-Uhlenbeck oscillator](<https://www.sota2.com/research/paper/68fa32b11e209131ce889de7>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T19:38:13.533Z

Authors: K. Andrzejewski

Published: 2015-06-16T10:48:45.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1506.04909>)

[PDF](<https://arxiv.org/pdf/1506.04909.pdf>)