1.
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Demystifying the constancy of the Ermakov–Lewis invariant for a time-dependent oscillator

Modern physics letters A, ISSN 1793-6632, 2018, Volume 33, Issue 7n08, p. 1830005

It is well known that the time-dependent harmonic oscillator (TDHO) possesses a conserved quantity, usually called Ermakov–Lewis invariant. I provide a simple...

Schwinger effect | Bogoliubov coefficients | Ermakov-Lewis invariant | time-dependent harmonic oscillator | HARMONIC-OSCILLATOR | SYSTEMS | PHYSICS, NUCLEAR | PHYSICS, MATHEMATICAL | PHYSICS, PARTICLES & FIELDS

Schwinger effect | Bogoliubov coefficients | Ermakov-Lewis invariant | time-dependent harmonic oscillator | HARMONIC-OSCILLATOR | SYSTEMS | PHYSICS, NUCLEAR | PHYSICS, MATHEMATICAL | PHYSICS, PARTICLES & FIELDS

Journal Article

International Journal of Modern Physics B, ISSN 0217-9792, 11/2019, Volume 33, Issue 28, p. 1950331

In this paper we calculate the basic thermodynamical quantities for a system of bosonic simple harmonic oscillators (BSHOs) and the corresponding system of...

fermionic simple harmonic oscillators | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | dispersion relationships | negative pressure | optical modes | PHYSICS, MATHEMATICAL | Bosonic simple harmonic oscillators | negative temperature

fermionic simple harmonic oscillators | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | dispersion relationships | negative pressure | optical modes | PHYSICS, MATHEMATICAL | Bosonic simple harmonic oscillators | negative temperature

Journal Article

Physical review letters, ISSN 1079-7114, 2019, Volume 123, Issue 21, p. 214101

A quantum scar-an enhancement of a quantum probability density in the vicinity of a classical periodic orbit-is a fundamental phenomenon connecting quantum and...

CHAOS | HARMONIC-OSCILLATOR | BILLIARD | PHYSICS, MULTIDISCIPLINARY | CONDUCTANCE FLUCTUATIONS | FIELD | DOTS | EIGENFUNCTIONS | SPECTRUM | SCATTERING | ATOM | Orbital mechanics | Scars | Anisotropy | Classical mechanics | Orbits | Eigenvectors | Perturbation | Harmonic oscillators

CHAOS | HARMONIC-OSCILLATOR | BILLIARD | PHYSICS, MULTIDISCIPLINARY | CONDUCTANCE FLUCTUATIONS | FIELD | DOTS | EIGENFUNCTIONS | SPECTRUM | SCATTERING | ATOM | Orbital mechanics | Scars | Anisotropy | Classical mechanics | Orbits | Eigenvectors | Perturbation | Harmonic oscillators

Journal Article

4.
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Fast ground-state cooling of mechanical resonators with time-dependent optical cavities

Physical review. A, Atomic, molecular, and optical physics, ISSN 1094-1622, 2011, Volume 83, Issue 4

We propose a feasible scheme to cool down a mechanical resonator (MR) in a three-mirror cavity optomechanical system with controllable external optical driving...

BOX | OPTICS | HARMONIC-OSCILLATOR | PARTICLE | QUANTUM-THEORY | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | BORN-OPPENHEIMER APPROXIMATION | CAVITIES | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | RESONATORS | APPROXIMATIONS | CALCULATION METHODS | ELECTRONIC EQUIPMENT | ENERGY LEVELS | EQUIPMENT | COOLING | AMPLITUDES | HARMONIC OSCILLATORS | TIME DEPENDENCE | GROUND STATES

BOX | OPTICS | HARMONIC-OSCILLATOR | PARTICLE | QUANTUM-THEORY | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | BORN-OPPENHEIMER APPROXIMATION | CAVITIES | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | RESONATORS | APPROXIMATIONS | CALCULATION METHODS | ELECTRONIC EQUIPMENT | ENERGY LEVELS | EQUIPMENT | COOLING | AMPLITUDES | HARMONIC OSCILLATORS | TIME DEPENDENCE | GROUND STATES

Journal Article

Computer physics communications, ISSN 0010-4655, 2014, Volume 185, Issue 6, pp. 1808 - 1821

The DIRHB package consists of three Fortran computer codes for the calculation of the ground-state properties of even–even atomic nuclei using the framework of...

Constrained calculation | Nuclear energy density functional | Quadrupole deformation | Dirac–Hartree–Bogoliubov | Relativistic self-consistent mean-field | Harmonic oscillator | Dirac-Hartree-Bogoliubov | MATTER | HARMONIC-OSCILLATOR BASIS | EQUATIONS | TRANSFORMATION BRACKETS | PHYSICS, MATHEMATICAL | DENSITY | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MODELS | GROUND-STATE PROPERTIES | PROGRAM | Nuclear energy | Analysis | Deformation | Computer simulation | Operating systems | Summaries | Mathematical models | Nuclei | Quadrupoles | Symmetry | Physics - Nuclear Theory

Constrained calculation | Nuclear energy density functional | Quadrupole deformation | Dirac–Hartree–Bogoliubov | Relativistic self-consistent mean-field | Harmonic oscillator | Dirac-Hartree-Bogoliubov | MATTER | HARMONIC-OSCILLATOR BASIS | EQUATIONS | TRANSFORMATION BRACKETS | PHYSICS, MATHEMATICAL | DENSITY | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MODELS | GROUND-STATE PROPERTIES | PROGRAM | Nuclear energy | Analysis | Deformation | Computer simulation | Operating systems | Summaries | Mathematical models | Nuclei | Quadrupoles | Symmetry | Physics - Nuclear Theory

Journal Article

Journal of statistical physics, ISSN 1572-9613, 2019, Volume 180, Issue 1-6, pp. 263 - 296

J. Stat. Phys. 180, 263-296 (2020) We continue the investigation, started in [J. Stat. Phys. 166, 926-1015 (2017)], of a network of harmonic oscillators driven...

Reservoirs | Mathematical Physics | Physics

Reservoirs | Mathematical Physics | Physics

Journal Article

New journal of physics, ISSN 1367-2630, 2018, Volume 20, Issue 11, p. 113024

The study of open quantum systems often relies on approximate master equations derived under the assumptions of weak coupling to the environment. However when...

quantum thermodynamics | master equations | open quantum systems | quantum harmonic oscillators | HEAT ENGINE | PHYSICS, MULTIDISCIPLINARY | TIME | MODEL | Thermodynamics | Mathematical models | Heat engines | Collisions | Subsystems | Harmonic oscillators | Quantum Gases | Condensed Matter | Atomic Physics | Optics | Quantum Physics | Atomic and Molecular Clusters | Physics

quantum thermodynamics | master equations | open quantum systems | quantum harmonic oscillators | HEAT ENGINE | PHYSICS, MULTIDISCIPLINARY | TIME | MODEL | Thermodynamics | Mathematical models | Heat engines | Collisions | Subsystems | Harmonic oscillators | Quantum Gases | Condensed Matter | Atomic Physics | Optics | Quantum Physics | Atomic and Molecular Clusters | Physics

Journal Article

The Journal of chemical physics, ISSN 1089-7690, 2014, Volume 140, Issue 12, p. 124107

The Density Functional Theory (DFT)/van der Waals-Quantum Harmonic Oscillator-Wannier function (vdW-QHO-WF) method, recently developed to include the vdW...

HYDROGEN | BASIS-SET LIMIT | 1ST | BENZENE | CARBON-MONOXIDE | AB-INITIO | COMPLEXES | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | NONCOVALENT INTERACTIONS | ADSORPTION | GENERALIZED GRADIENT APPROXIMATION | Screening | Approximation | Graphene | Mathematical analysis | Benzene | Hydrocarbons | Density functional theory | Augmented reality | Quantum theory | Harmonic oscillators | DENSITY | DENSITY FUNCTIONAL METHOD | VAN DER WAALS FORCES | INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY | GRAPHENE | HARMONIC OSCILLATORS | INTERACTIONS | HARMONIC OSCILLATOR MODELS

HYDROGEN | BASIS-SET LIMIT | 1ST | BENZENE | CARBON-MONOXIDE | AB-INITIO | COMPLEXES | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | NONCOVALENT INTERACTIONS | ADSORPTION | GENERALIZED GRADIENT APPROXIMATION | Screening | Approximation | Graphene | Mathematical analysis | Benzene | Hydrocarbons | Density functional theory | Augmented reality | Quantum theory | Harmonic oscillators | DENSITY | DENSITY FUNCTIONAL METHOD | VAN DER WAALS FORCES | INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY | GRAPHENE | HARMONIC OSCILLATORS | INTERACTIONS | HARMONIC OSCILLATOR MODELS

Journal Article

Physical review. X, ISSN 2160-3308, 2014, Volume 4, Issue 2, p. 021013

A shortcut to adiabaticity is a driving protocol that reproduces in a short time the same final state that would result from an adiabatic, infinitely slow...

Interdisciplinary physics | Quantum physics | WAVES | PARTICLE | PHYSICS, MULTIDISCIPLINARY | GAS | DEPENDENT HARMONIC-OSCILLATOR | SYSTEMS | BOSONS

Interdisciplinary physics | Quantum physics | WAVES | PARTICLE | PHYSICS, MULTIDISCIPLINARY | GAS | DEPENDENT HARMONIC-OSCILLATOR | SYSTEMS | BOSONS

Journal Article

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Measurement noise 100 times lower than the quantum-projection limit using entangled atoms

Nature (London), ISSN 1476-4687, 2016, Volume 529, Issue 7587, pp. 505 - 508

Quantum metrology uses quantum entanglement-correlations in the properties of microscopic systems-to improve the statistical precision of physical...

INTERFEROMETRY | STATES | MULTIDISCIPLINARY SCIENCES | Measurement | Noise control | Analysis | Harmonic oscillators | Atoms & subatomic particles | Noise | Quantum physics

INTERFEROMETRY | STATES | MULTIDISCIPLINARY SCIENCES | Measurement | Noise control | Analysis | Harmonic oscillators | Atoms & subatomic particles | Noise | Quantum physics

Journal Article

Canadian Journal of Physics, ISSN 0008-4204, 2018, Volume 96, Issue 1, pp. 25 - 29

In this article, we introduce a two-dimensional Dirac oscillator in the presence of an external magnetic field in terms of q-deformed creation and annihilation...

Dirac oscillator | creation and annihilation operators | oscillateur harmonique q déformé | quantités statistiques | q-deformed harmonic oscillator | oscillateur de Dirac | statistical quantities | opérateurs de création et d’annihilation | external magnetic field | champ magnétique extérieur | Creation and annihilation operators | External magnetic field | Statistical quantities | q -deformed harmonic oscillator | HARMONIC-OSCILLATOR | PHYSICS, MULTIDISCIPLINARY | ALGEBRA | GENERALIZED UNCERTAINTY PRINCIPLE | JAYNES-CUMMINGS MODEL | Magnetic fields | Analysis | Quantum theory

Dirac oscillator | creation and annihilation operators | oscillateur harmonique q déformé | quantités statistiques | q-deformed harmonic oscillator | oscillateur de Dirac | statistical quantities | opérateurs de création et d’annihilation | external magnetic field | champ magnétique extérieur | Creation and annihilation operators | External magnetic field | Statistical quantities | q -deformed harmonic oscillator | HARMONIC-OSCILLATOR | PHYSICS, MULTIDISCIPLINARY | ALGEBRA | GENERALIZED UNCERTAINTY PRINCIPLE | JAYNES-CUMMINGS MODEL | Magnetic fields | Analysis | Quantum theory

Journal Article

Modern physics letters A, ISSN 1793-6632, 2015, Volume 30, Issue 21, p. 1550107

We construct an [Formula: see text] supersymmetric extension of the Pais–Uhlenbeck oscillator for distinct frequencies of oscillation. A link to a set of...

Journal Article

International Journal of Modern Physics A, ISSN 0217-751X, 08/2019, Volume 34, Issue 24, p. 1950131

We exploit the power and potential of the (anti-)chiral superfield approach (ACSA) to Becchi–Rouet–Stora–Tyutin (BRST) formalism to derive the nilpotent...

Journal Article

Brazilian journal of physics, ISSN 1678-4448, 2019, Volume 49, Issue 3, pp. 458 - 470

Harmonic oscillator in noncommutative two-dimensional lattice is investigated. Using the properties of non-differential calculus and its applications to...

Perturbation theory | Harmonic oscillator in noncommutative | Lattice theory | Physics, general | Physics | HARMONIC-OSCILLATOR | PARTICLES | PHYSICS, MULTIDISCIPLINARY | LANDAU PROBLEM | QUANTUM-FIELD THEORY | PHASE | MECHANICS | THERMODYNAMICS | SYMMETRY | PLANE | PADE APPROXIMANTS | Physics - High Energy Physics - Theory

Perturbation theory | Harmonic oscillator in noncommutative | Lattice theory | Physics, general | Physics | HARMONIC-OSCILLATOR | PARTICLES | PHYSICS, MULTIDISCIPLINARY | LANDAU PROBLEM | QUANTUM-FIELD THEORY | PHASE | MECHANICS | THERMODYNAMICS | SYMMETRY | PLANE | PADE APPROXIMANTS | Physics - High Energy Physics - Theory

Journal Article

Physica A, ISSN 0378-4371, 2018, Volume 505, pp. 744 - 762

New questions in fundamental physics and in other fields, which cannot be formulated adequately using traditional integral and differential calculus emerged...

Driven damped Harmonic Oscillator | Mittag-Leffler functions | Exact closed-form solution | Laplace transforms | Fractional calculus | Driven damped oscillator | Caputo derivatives | Mittag-Leffier functions | HARMONIC-OSCILLATOR | PHYSICS, MULTIDISCIPLINARY | CALCULUS | DYNAMICS

Driven damped Harmonic Oscillator | Mittag-Leffler functions | Exact closed-form solution | Laplace transforms | Fractional calculus | Driven damped oscillator | Caputo derivatives | Mittag-Leffier functions | HARMONIC-OSCILLATOR | PHYSICS, MULTIDISCIPLINARY | CALCULUS | DYNAMICS

Journal Article

2015, 2nd edition., ISBN 9789814578585, xv, 722 pages

Book

Nonlinear dynamics, ISSN 1573-269X, 2019, Volume 96, Issue 3, pp. 1735 - 1745

This paper studies the resonance behavior in two coupled harmonic oscillators with fluctuating mass. Firstly, the statistic synchronization between the two...

Statistic synchronization | Fluctuating mass | MECHANICS | Coupled harmonic oscillators | Stochastic resonance | Dichotomous noise | NOISE | ENGINEERING, MECHANICAL | Analysis | Numerical analysis

Statistic synchronization | Fluctuating mass | MECHANICS | Coupled harmonic oscillators | Stochastic resonance | Dichotomous noise | NOISE | ENGINEERING, MECHANICAL | Analysis | Numerical analysis

Journal Article

International Journal of Modern Physics A, ISSN 0217-751X, 11/2019, Volume 34, Issue 31, p. 1950196

In this paper, we consider Klein–Gordon particle near Reissner–Nordström black hole. The symmetry of such a background led us to compare the corresponding...

generalized sl algebra | three-dimensional harmonic oscillator | RN black hole | QUANTUM | PHYSICS, NUCLEAR | Heun equation | RADIATION | EQUATION | PHYSICS, PARTICLES & FIELDS

generalized sl algebra | three-dimensional harmonic oscillator | RN black hole | QUANTUM | PHYSICS, NUCLEAR | Heun equation | RADIATION | EQUATION | PHYSICS, PARTICLES & FIELDS

Journal Article