Journal of Mathematical Chemistry, ISSN 0259-9791, 5/2019, Volume 57, Issue 5, pp. 1314 - 1329

In this paper, we include simultaneously additive and multiplicative noise to the Pais–Uhlenbeck oscillator (PUO). We construct an integral of motion of the...

Additive noise | Theoretical and Computational Chemistry | Pais–Uhlenbeck oscillator | Chemistry | Multiplicative noise | Runge–Kutta method | 60H10 | Physical Chemistry | 93E03 | Integral of motion | 34F05 | Math. Applications in Chemistry | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | INVARIANTS | Pais-Uhlenbeck oscillator | SYSTEMS | Runge-Kutta method | CHEMISTRY, MULTIDISCIPLINARY | Hamiltonian systems | Usage | Learning models (Stochastic processes) | Models | Numerical analysis | Noise

Additive noise | Theoretical and Computational Chemistry | Pais–Uhlenbeck oscillator | Chemistry | Multiplicative noise | Runge–Kutta method | 60H10 | Physical Chemistry | 93E03 | Integral of motion | 34F05 | Math. Applications in Chemistry | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | INVARIANTS | Pais-Uhlenbeck oscillator | SYSTEMS | Runge-Kutta method | CHEMISTRY, MULTIDISCIPLINARY | Hamiltonian systems | Usage | Learning models (Stochastic processes) | Models | Numerical analysis | Noise

Journal Article

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

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

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

LIE-ALGEBRAS | PAIS-UHLENBECK OSCILLATOR | GALILEAN SYMMETRY | INVARIANTS | PLANE | DEFORMATION QUANTIZATION | REALIZATIONS | COADJOINT ORBITS | PHYSICS, MATHEMATICAL | NONCOMMUTATIVE LANDAU PROBLEM | KINEMATICS

Journal Article

International Journal of Theoretical Physics, ISSN 0020-7748, 4/2012, Volume 51, Issue 4, pp. 1253 - 1258

In this paper we study the fractional Lagrangian of Pais–Uhlenbeck oscillator. We obtained the fractional Euler–Lagrangian equation of the system and then we...

Pais–Uhlenbeck oscillator | Theoretical, Mathematical and Computational Physics | Riemann–Liouville derivatives | Quantum Physics | Physics, general | Grünwald–Letnikov approach | Physics | Elementary Particles, Quantum Field Theory | Pais-Uhlenbeck oscillator | Grünwald-Letnikov approach | Riemann-Liouville derivatives | MECHANICS | PHYSICS, MULTIDISCIPLINARY | DECOMPOSITION METHOD | Grunwald-Letnikov approach | FORMULATION | BAGLEY-TORVIK EQUATION | DERIVATIVES | Computer science | Universities and colleges

Pais–Uhlenbeck oscillator | Theoretical, Mathematical and Computational Physics | Riemann–Liouville derivatives | Quantum Physics | Physics, general | Grünwald–Letnikov approach | Physics | Elementary Particles, Quantum Field Theory | Pais-Uhlenbeck oscillator | Grünwald-Letnikov approach | Riemann-Liouville derivatives | MECHANICS | PHYSICS, MULTIDISCIPLINARY | DECOMPOSITION METHOD | Grunwald-Letnikov approach | FORMULATION | BAGLEY-TORVIK EQUATION | DERIVATIVES | Computer science | Universities and colleges

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

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

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

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

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

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

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

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

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

The group theoretic construction is applied to construct a novel dynamical realization of the l-conformal Galilei group in terms of geodesic equations on the...

NIEDERERS TRANSFORMATION | SPACETIMES | PAIS-UHLENBECK OSCILLATOR | NEWTON-HOOKE ALGEBRAS | SUPERSYMMETRY | DYNAMICAL REALIZATIONS | LOCAL SCALE-INVARIANCE | PHYSICS, PARTICLES & FIELDS | Nuclear and particle physics. Atomic energy. Radioactivity | Mathematical Physics | Nuclear and High Energy Physics | High Energy Physics - Theory

NIEDERERS TRANSFORMATION | SPACETIMES | PAIS-UHLENBECK OSCILLATOR | NEWTON-HOOKE ALGEBRAS | SUPERSYMMETRY | DYNAMICAL REALIZATIONS | LOCAL SCALE-INVARIANCE | PHYSICS, PARTICLES & FIELDS | Nuclear and particle physics. Atomic energy. Radioactivity | Mathematical Physics | Nuclear and High Energy Physics | High Energy Physics - Theory

Journal Article

Advances in Difference Equations, ISSN 1687-1839, 12/2016, Volume 2016, Issue 1, pp. 1 - 17

This paper presents alternative representations to traditional calculus of the Euler-Lagrangian equations, in the alternative representations these equations...

Atangana-Baleanu-Caputo operator | Caputo-Fabrizio operator | two-electric pendulum | Mathematics | Crank-Nicholson scheme | Ordinary Differential Equations | Functional Analysis | Analysis | Pais-Uhlenbeck oscillator | Difference and Functional Equations | Mathematics, general | Euler-Lagrange formalism | Partial Differential Equations | MATHEMATICS | MATHEMATICS, APPLIED | FORMALISM | MODEL | DERIVATIVES | Kernels | Operators | Mathematical analysis | Mathematical models | Calculus | Representations | Formalism | Oscillators

Atangana-Baleanu-Caputo operator | Caputo-Fabrizio operator | two-electric pendulum | Mathematics | Crank-Nicholson scheme | Ordinary Differential Equations | Functional Analysis | Analysis | Pais-Uhlenbeck oscillator | Difference and Functional Equations | Mathematics, general | Euler-Lagrange formalism | Partial Differential Equations | MATHEMATICS | MATHEMATICS, APPLIED | FORMALISM | MODEL | DERIVATIVES | Kernels | Operators | Mathematical analysis | Mathematical models | Calculus | Representations | Formalism | Oscillators

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

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

Ricci-flat metrics of the ultrahyperbolic signature which enjoy the l-conformal Galilei symmetry are constructed. They involve the AdS2-metric in a way similar...

Conformal Galilei algebra | Ricci-flat metrics | NIEDERERS TRANSFORMATION | PAIS-UHLENBECK OSCILLATOR | NEWTON-HOOKE ALGEBRAS | DYNAMICAL REALIZATIONS | EXTENSIONS | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | PHYSICS, PARTICLES & FIELDS | General Relativity and Quantum Cosmology | Mathematical Physics | Nuclear and High Energy Physics | High Energy Physics - Theory | Physics

Conformal Galilei algebra | Ricci-flat metrics | NIEDERERS TRANSFORMATION | PAIS-UHLENBECK OSCILLATOR | NEWTON-HOOKE ALGEBRAS | DYNAMICAL REALIZATIONS | EXTENSIONS | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | PHYSICS, PARTICLES & FIELDS | General Relativity and Quantum Cosmology | Mathematical Physics | Nuclear and High Energy Physics | High Energy Physics - Theory | Physics

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

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

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

No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.