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Modern Physics Letters A, ISSN 0217-7323, 11/2013, Volume 28, Issue 36, p. 1350165
It is shown that the interacting Pais–Uhlenbeck (PU) oscillator necessarily leads to a description with a Hamiltonian that contains positive and negative... 
Higher derivative theories | ghosts | quantum gravity | Pais-Uhlenbeck oscillator | stability | PHYSICS, NUCLEAR | DERIVATIVE THEORIES | QUANTIZATION | PHYSICS, MATHEMATICAL | GRAVITY | PHYSICS, PARTICLES & FIELDS | Physics - General Relativity and Quantum Cosmology
Journal Article
International Journal of Geometric Methods in Modern Physics, ISSN 0219-8878, 10/2016, Volume 13, Issue 9
We review the occurrence of negative energies in Pais-Uhlenbeck oscillator. We point out that in the absence of interactions, negative energies are not... 
ghosts | negative energies | Pais-Uhlenbeck oscillator | higher derivative theories | indefinite Hamiltonian | Vacuum delay | STABILITY | HAMILTONIAN-FORMULATION | QUANTIZATION | PHYSICS, MATHEMATICAL
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 03/2018, Volume 59, Issue 3, p. 32901
It is demonstrated that, in the framework of the orbit method, a simple and damped harmonic oscillator is indistinguishable at the level of an abstract Lie... 
LIE-ALGEBRAS | PAIS-UHLENBECK OSCILLATOR | GALILEAN SYMMETRY | INVARIANTS | PLANE | DEFORMATION QUANTIZATION | REALIZATIONS | COADJOINT ORBITS | PHYSICS, MATHEMATICAL | NONCOMMUTATIVE LANDAU PROBLEM | KINEMATICS
Journal Article
Journal Article
Modern Physics Letters A, ISSN 0217-7323, 07/2015, Volume 30, Issue 21
We construct an N = 2 supersymmetric extension of the Pais-Uhlenbeck oscillator for distinct frequencies of oscillation. A link to a set of decoupled N = 2... 
Newton-Hooke algebra | supersymmetry | Pais-Uhlenbeck oscillator | PHYSICS, NUCLEAR | NONRELATIVISTIC CONFORMAL GROUPS | PHYSICS, MATHEMATICAL | GRAVITY | PHYSICS, PARTICLES & FIELDS
Journal Article
Modern Physics Letters A, ISSN 0217-7323, 05/2013, Volume 28, Issue 14, p. 1375001
We explore the Jacobi last multiplier (JLM) as a means for deriving the Lagrangian of a fourth-order differential equation. In particular, we consider the... 
Ostrogradski's method | Jacobi's last multiplier | Pais-Uhlenbeck oscillator | JACOBI LAST MULTIPLIER | INVERSE PROBLEM | CALCULUS | PHYSICS, NUCLEAR | POINT PARTICLE | MODEL | PHYSICS, MATHEMATICAL | RELATIVISTIC PARTICLE | ASTRONOMY & ASTROPHYSICS | SYSTEMS | PHYSICS, PARTICLES & FIELDS
Journal Article
Modern Physics Letters A, ISSN 0217-7323, 04/2013, Volume 28, Issue 12, p. 1350038
We have constructed coherent states for the higher derivative Pais–Uhlenbeck Oscillator (PUO). In the process, we have suggested a novel way to construct... 
Pais-Uhlenbeck Oscillator | higher derivative theory | coherent states | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | PHYSICS, MATHEMATICAL | PHYSICS, PARTICLES & FIELDS
Journal Article
Russian Physics Journal, ISSN 1064-8887, 03/2015, Volume 57, Issue 11, pp. 1561 - 1565
The stability of a Pais-Uhlenbeck nonlinear oscillator with higher derivatives is examined. The stability of the linear theory is demonstrated and a... 
Pais–Uhlenbeck oscillator | Ostrogradsky ghost field | theories with higher derivatives | ENERGY | PHYSICS, MULTIDISCIPLINARY | Pais-Uhlenbeck oscillator
Journal Article
Annals of Physics, ISSN 0003-4916, 12/2019, Volume 411, p. 167956
In 2017, G. P. de Brito and co-workers suggested a covariant generalization of the Kempf–Mangano algebra in a (D+1)-dimensional Minkowski space–time (Kempf and... 
Higher derivatives | Characteristic length scale | Pais–Uhlenbeck oscillator | Relativistic wave equations | Classical field theories | PHYSICS, MULTIDISCIPLINARY | Pais-Uhlenbeck oscillator | MINIMAL LENGTH
Journal Article
Physics Letters B, ISSN 0370-2693, 06/2013, Volume 723, Issue 1-3, pp. 190 - 195
The method of nonlinear realizations and the technique previously developed in [A. Galajinsky, I. Masterov, Nucl. Phys. B 866 (2013) 212, arXiv:1208.1403] are... 
Pais–Uhlenbeck oscillator | Conformal Newton–Hooke algebra | Dynamical realizations | Conformal Newton-Hooke algebra | Pais-Uhlenbeck oscillator | MECHANICS | SYMMETRY | PHENOMENOLOGICAL LAGRANGIANS | PHYSICS, MULTIDISCIPLINARY | ALGEBRA | Deceleration | Elementary particles | Evolution | Mathematical models | Derivatives | Dynamical systems | Invariants | Oscillators
Journal Article
Modern Physics Letters A, ISSN 0217-7323, 04/2015, Volume 30, Issue 13
Journal Article
Acta Physica Polonica B, ISSN 0587-4254, 11/2014, Volume 45, Issue 11, pp. 2057 - 2065
A simple nonlocal theory is put into Hamiltonian form and quantized by using the modern version of Ostrogradski approach. 
LAGRANGIANS | PAIS-UHLENBECK OSCILLATOR | FORMALISM | PHYSICS, MULTIDISCIPLINARY | FIELD-THEORY
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 09/2016, Volume 57, Issue 9, p. 92901
Based on the results in [A. Galajinsky and I. Masterov, Nucl. Phys. B 866, 212 (2013)], we consider a way to construct a higher-derivative mechanical model... 
NIEDERERS TRANSFORMATION | PAIS-UHLENBECK OSCILLATOR | NEWTON-HOOKE ALGEBRAS | DYNAMICAL REALIZATIONS | LOCAL SCALE-INVARIANCE | STABILITY | PHYSICS, MATHEMATICAL | Symmetry
Journal Article
Nuclear Physics, Section B, ISSN 0550-3213, 10/2016, Volume 911, Issue C, pp. 471 - 479
Journal Article
Foundations of Physics, ISSN 0015-9018, 5/2007, Volume 37, Issue 4, pp. 532 - 571
We present a solution to the ghost problem in fourth order derivative theories. In particular we study the Pais–Uhlenbeck fourth order oscillator model, a... 
Biophysics/Biomedical Physics | Pais–Uhlenbeck oscillator | ghosts | Relativity and Cosmology | Mechanics | Condensed Matter | Quantum Physics | Physics, general | Physics | higher derivative theories | Higher derivative theories | Ghosts | Pais-Uhlenbeck oscillator | PHYSICS, MULTIDISCIPLINARY | GRAVITY | Physics - High Energy Physics - Theory
Journal Article
Physics Letters B, ISSN 0370-2693, 03/2016, Volume 754, Issue C, pp. 249 - 253
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 08/2017, Volume 58, Issue 8, p. 82903
Higher-derivative analogs of multidimensional conformal particle and many-body conformal mechanics are constructed. Their Newton-Hooke counterparts are derived... 
NIEDERERS TRANSFORMATION | PAIS-UHLENBECK OSCILLATOR | NEWTON-HOOKE ALGEBRAS | CALOGERO MODELS | SYMMETRY | DYNAMICAL REALIZATIONS | PHENOMENOLOGICAL LAGRANGIANS | KINEMATICAL INVARIANCE GROUP | QUANTUM-MECHANICS | PHYSICS, MATHEMATICAL | Mechanics (physics) | Coordinate transformations
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 03/2016, Volume 49, Issue 15, p. 155201
For a qualitative analysis of spectra of certain two-dimensional rectangular-well quantum systems several rigorous methods of number theory are shown... 
square-well model | PaisUhlenbeck model | renormalizable quantum theories with ghosts | metamaterials | number theory analysis | physical applications | singular spectra | PHYSICS, MULTIDISCIPLINARY | STABILITY | SPECTRA | PHYSICS, MATHEMATICAL | OSCILLATOR | Pais-Uhlenbeck model
Journal Article
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