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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
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
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
Journal Article
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
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
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
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
Journal Article
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
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
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
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
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
Journal Article