Quantizing with a higher time derivative
Sergei V. Ketov, Genta Michiaki, Tsukasa Yumibayashi

TL;DR
This paper reviews the classical and quantum aspects of the Pais-Uhlenbeck oscillator, serving as a simplified model for understanding the quantization of f(R) gravity theories.
Contribution
It provides a comprehensive review of the Pais-Uhlenbeck oscillator's classical and quantum properties in the context of f(R) gravity.
Findings
Insights into the quantization process of higher-derivative theories
Comparison between classical and quantum behaviors of the oscillator
Foundational understanding for f(R) gravity quantization
Abstract
We review the classical and quantum theory of the Pais-Uhlenbeck oscillator as the toy-model for quantizing f(R) gravity theories.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Noncommutative and Quantum Gravity Theories · Cosmology and Gravitation Theories
