Time-dependent Pais–Uhlenbeck Oscillator and Its Decomposition

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article , Preprint , Other literature type 01 Jan 2016Embargo end date: 01 Jan 2015Publisher:Springer International Publishing

Authors: Kuwabara, H.; Yumibayashi, T.; Harada, H.;

doi: 10.1007/978-3-319-31756-4_20 , 10.48550/arxiv.1503.03657

arXiv: 1503.03657

Time-dependent Pais–Uhlenbeck Oscillator and Its Decomposition

- Summary
- Subjects
- Related research
  (6)
- Metrics

Abstract

The Pais-Uhlenbeck(PU) oscillator is the simplest model with higher time derivatives. Its properties were studied for a long time. In this paper, we extend the 4th order free PU oscillator to a more non-trivial case, dubbed the 4th order time dependent PU oscillator, which has time dependent frequencies. We show that this model cannot be decomposed into two harmonic oscillators in contrast to the original PU oscillator. An interaction is added by the coordinate transformation of Smilga.

Related Organizations

Tokyo Metropolitan University
Japan

Keywords

High Energy Physics - Theory, High Energy Physics - Theory (hep-th), FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), General Relativity and Quantum Cosmology

6 Research products, page 1 of 1

The Unruh effect for higher derivative field theory
2017IsAmongTopNSimilarDocuments
N=2 supersymmetric odd-order Pais–Uhlenbeck oscillator
2016IsAmongTopNSimilarDocuments
Generalized Niederer's transformation for quantum Pais–Uhlenbeck oscillator
2015IsAmongTopNSimilarDocuments
Hamiltonian formalisms and symmetries of the Pais–Uhlenbeck oscillator
2014IsAmongTopNSimilarDocuments
Conformal Newton–Hooke symmetry of Pais–Uhlenbeck oscillator
2014IsAmongTopNSimilarDocuments
An alternative Hamiltonian formulation for the Pais–Uhlenbeck oscillator
2016IsAmongTopNSimilarDocuments

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average