Results 11 to 20 of about 20,968 (306)

Relativistic harmonic oscillator [PDF]

open access: yesJournal of Mathematical Physics, 2005
We study the semirelativistic Hamiltonian operator composed of the relativistic kinetic energy and a static harmonic-oscillator potential in three spatial dimensions and construct, for bound states with vanishing orbital angular momentum, its eigenfunctions in “compact form,” i.e., as power series, with expansion coefficients determined by an ...
Li, Zhi Feng   +4 more
openaire   +4 more sources

Topological Effects of a Spiral Dislocation on Quantum Revivals

open access: yesUniverse, 2022
We analyse the influence of spiral dislocation topology on the revival time for the harmonic oscillator, for a particle confined to one-dimensional quantum ring, and a two-dimensional quantum ring. We first investigate the effects of a cut-off point that
Anderson V. D. M. Maia, Knut Bakke
doaj   +1 more source

Global residue harmonic balance method for strongly nonlinear oscillator with cubic and harmonic restoring force

open access: yesJournal of Low Frequency Noise, Vibration and Active Control, 2022
This paper focuses on the numerical investigation of a strongly nonlinear oscillator with cubic and harmonic restoring force. We transform this oscillator as a free damped cubic-quintic Duffing oscillator equation by Taylor approximation.
Junfeng Lu
doaj   +1 more source

Creating electronic oscillator-based Ising machines without external injection locking

open access: yesScientific Reports, 2022
Coupled electronic oscillators have recently been explored as a compact, integrated circuit- and room temperature operation-compatible hardware platform to design Ising machines.
Jaykumar Vaidya   +2 more
doaj   +1 more source

ADELIC HARMONIC OSCILLATOR [PDF]

open access: yesInternational Journal of Modern Physics A, 1995
Using the Weyl quantization we formulate one-dimensional adelic quantum mechanics, which unifies and treats ordinary and p-adic quantum mechanics on an equal footing. As an illustration the corresponding harmonic oscillator is considered. It is a simple, exact and instructive adelic model. Eigenstates are Schwartz-Bruhat functions.
openaire   +3 more sources

Study of charge density distributions, elastic charge form factors and root-mean square radii for 4He, 12C and 16O nuclei using Woods- Saxon and harmonic-oscillator potentials

open access: yesIraqi Journal of Physics, 2019
The nuclear charge density distributions, form factors and corresponding proton, charge, neutron, and matter root mean square radii for stable 4He, 12C, and 16O nuclei have been calculated using single-particle radial wave functions of Woods-Saxon ...
Arkan R. Ridha
doaj   +1 more source

Enhancement of quantum synchronization via continuous measurement and feedback control

open access: yesNew Journal of Physics, 2021
We study synchronization of a quantum van der Pol oscillator with a harmonic drive and demonstrate that quantum synchronization can be enhanced by performing continuous homodyne measurement on an additional bath linearly coupled to the oscillator and ...
Yuzuru Kato, Hiroya Nakao
doaj   +1 more source

Comparison of Harmonic Oscillator Model in Classical and Quantum Theories of Light-Matter Interaction

open access: yesFoundations, 2023
A brief review of the classical and quantum description of the interaction of electromagnetic radiation with matter based on the model of a harmonic oscillator is presented.
Valery Astapenko, Timur Bergaliyev
doaj   +1 more source

Multipartite Entanglement Generation in a Structured Environment

open access: yesEntropy, 2020
In this paper, we investigate the entanglement generation of n-qubit states in a model consisting of n independent qubits, each coupled to a harmonic oscillator which is in turn coupled to a bath of N additional harmonic oscillators with nearest-neighbor
Shijiao Wang   +2 more
doaj   +1 more source

Non-classical correlations beyond Bell’s inequality violation in qubit-pairs with an intrinsic noise

open access: yesResults in Physics, 2019
In this paper, we analytically explore two qubits interacting with a coherent harmonic oscillator field under intrinsic noise. The interaction of the uncorrelated two qubits with a harmonic oscillator initially in the superposition of coherent states ...
A.-B. A. Mohamed, H. Eleuch
doaj   +1 more source

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