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
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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
Some complexity measures in confined isotropic harmonic oscillator
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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
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
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
Non-real eigenvalues of the harmonic oscillator perturbed by an odd, two-point interaction
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DOI: 10.1063/1.5139901
Abstract: We consider the perturbations of the harmonic oscillator operator by an odd pair of point interactions, z(δx−b−δx+b). The spectrum of such operators is analyzed as a set of roots of the properly constructed entire (meromorphic)… read more here.
Keywords: real eigenvalues; harmonic oscillator; point; non real ... See more keywords
On the two-dimensional time-dependent anisotropic harmonic oscillator in a magnetic field
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0106709
Abstract: A charged harmonic oscillator in a magnetic field, Landau problems, and an oscillator in a noncommutative space share the same mathematical structure in their Hamiltonians. We have considered a two-dimensional anisotropic harmonic oscillator with arbitrarily… read more here.
Keywords: magnetic field; time; harmonic oscillator; time dependent ... See more keywords
The variational method applied to the harmonic oscillator in the presence of a delta function potential
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DOI: 10.1088/1361-6404/abf8c9
Abstract: The problem of the harmonic oscillator with a centrally located delta function potential can be exactly solved in one dimension, where the eigenfunctions are expressed as superpositions of the Hermite polynomials or as confluent hypergeometric… read more here.
Keywords: delta; function potential; harmonic oscillator; variational method ... See more keywords