Hardy spaces for the Dunkl harmonic oscillator
Sign Up to like & getrecommendations! Published in 2020 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201900215
Abstract: Let Δ and L=Δ−∥x∥2 be the Dunkl Laplacian and the Dunkl harmonic oscillator respectively. We define the Hardy space H1 associated with the Dunkl harmonic oscillator by means of the nontangential maximal function with respect… read more here.
Keywords: hardy spaces; harmonic oscillator; spaces dunkl; dunkl harmonic ... See more keywords
The Generalized Uncertainty Principle and the Semi-relativistic Harmonic Oscillator
Sign Up to like & getrecommendations! Published in 2019 at "Few-body Systems"
DOI: 10.1007/s00601-019-1536-6
Abstract: We study the Massless Semi-Relativistic Harmonic Oscillator within the framework of quantum mechanics with a Generalized Uncertainty Principle (GUP). The latter derives from the idea of minimal observable length, a quantity whose existence is expected… read more here.
Keywords: uncertainty principle; semi relativistic; harmonic oscillator; relativistic harmonic ... See more keywords
Determination of Fisher and Shannon Information for 1D Fractional Quantum Harmonic Oscillator
Sign Up to like & getrecommendations! Published in 2024 at "International Journal of Theoretical Physics"
DOI: 10.1007/s10773-025-06016-3
Abstract: This work uses the Riesz-Feller fractional derivative to examine Fisher information and Shannon entropy in a one-dimensional fractional quantum harmonic oscillator. By computing the fractional derivative of the probability density function, we systematically assess these… read more here.
Keywords: information; harmonic oscillator; fractional quantum; quantum harmonic ... See more keywords
Some complexity measures in confined isotropic harmonic oscillator
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Chemistry"
DOI: 10.1007/s10910-019-01039-8
Abstract: Various well-known statistical measures like López-Ruiz, Mancini, Calbet (LMC) and Fisher–Shannon complexity have been explored for confined isotropic harmonic oscillator (CHO) in composite position (r) and momentum (p) spaces. To get a deeper insight about… read more here.
Keywords: complexity; confined isotropic; harmonic oscillator; complexity measures ... See more keywords
Derivation of the Keldysh Path Integral from the Master Equation of a Harmonic Oscillator in a Thermal Bath Via Supercoherent States
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Russian Laser Research"
DOI: 10.1007/s10946-018-9742-0
Abstract: We consider a harmonic oscillator coupled to a Markovian environment, i.e. a thermal reservoir. We derive the Keldysh path integral and the corresponding lesser, greater, time-ordered, antitime-ordered, retarded, advanced, and Keldysh Green’s functions for this… read more here.
Keywords: harmonic oscillator; path integral; supercoherent states; keldysh path ... See more keywords
On the numerical integration of the undamped harmonic oscillator driven by independent additive gaussian white noises
Sign Up to like & getrecommendations! Published in 2019 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2018.12.001
Abstract: Abstract The stochastic exponential method is applied to solve the undamped linear stochastic oscillator driven by a multidimensional Wiener process. The proposed additive noise model is new since the disturbances are introduced in the equivalent… read more here.
Keywords: undamped harmonic; oscillator; harmonic oscillator; oscillator driven ... See more keywords
Critical scattering in a time-dependent harmonic oscillator
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124475
Abstract: Abstract Controlled time-decaying harmonic oscillator changes the threshold of decay order of the potential functions in order to exist the physical wave operators. This threshold was first reported by Ishida and Kawamoto [6] for the… read more here.
Keywords: time; case; harmonic oscillator; critical case ... See more keywords
Harmonic Oscillator Staging Coordinates for Efficient Path Integral Simulations of Quantum Oscillators and Crystals.
Sign Up to like & getrecommendations! Published in 2024 at "Journal of chemical theory and computation"
DOI: 10.1021/acs.jctc.4c00522
Abstract: Imaginary-time path integral (PI) is a rigorous quantum mechanical tool to compute static properties at finite temperatures. However, the stiff nature of the internal PI modes poses a sampling challenge. This is commonly tackled using… read more here.
Keywords: path integral; oscillator; harmonic oscillator; oscillators crystals ... See more keywords
Quantum entanglement of a harmonic oscillator with an electromagnetic field
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DOI: 10.1038/s41598-018-26650-8
Abstract: At present, there are many methods for obtaining quantum entanglement of particles with an electromagnetic field. Most methods have a low probability of quantum entanglement and not an exact theoretical apparatus based on an approximate… read more here.
Keywords: quantum entanglement; field; harmonic oscillator; electromagnetic field ... See more keywords
Multi objective optimization algorithm for hybrid quantum harmonic oscillator and its application in rotor system optimization
Sign Up to like & getrecommendations! Published in 2025 at "Scientific Reports"
DOI: 10.1038/s41598-025-92070-0
Abstract: The importance of support system dynamic fidelity in capturing turbine rotor performance in unbalance response and critical speed is considered. Lobal optimization methods based on multi-scale quantum harmonic oscillator algorithm and genetic algorithm are used,… read more here.
Keywords: system; harmonic oscillator; rotor; quantum harmonic ... See more keywords
Lewis-Riesenfeld quantization and SU(1, 1) coherent states for 2D damped harmonic oscillator
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5045621
Abstract: In this paper we study a two-dimensional [2D] rotationally symmetric harmonic oscillator with time-dependent frictional force. At the classical level, we solve the equations of motion for a particular case of the time-dependent coefficient of… read more here.
Keywords: harmonic oscillator; lewis riesenfeld; time dependent; coherent states ... See more keywords