Results 21 to 30 of about 378,672 (285)
Nuclear Physics B, 2022 We show the emergence of Berry phase in a forced harmonic oscillator system placed in the quantum space-time of Moyal type, where the time ‘t’ is also an operator.
Anwesha Chakraborty +2 more
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Relativistic harmonic oscillator [PDF]
Journal 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
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Spiked harmonic oscillators [PDF]
Journal of Mathematical Physics, 2002 A complete variational treatment is provided for a family of spiked-harmonic oscillator Hamiltonians H=−d2/dx2+Bx2+λ/xα(B>0,λ>0), for arbitrary α>0. A compact topological proof is presented that the set S={ψn} of known exact solutions for α=2 constitutes an orthonormal basis of the Hilbert space L2(0,∞). Closed-form expressions are
Hall, Richard L. +2 more
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On the Inverse to the Harmonic Oscillator [PDF]
Communications in Partial Differential Equations, 2015 Let $b_d$ be the Weyl symbol of the inverse to the harmonic oscillator on $\R^d$. We prove that $b_d$ and its derivatives satisfy convenient bounds of Gevrey and Gelfand-Shilov type, and obtain explicit expressions for $b_d$. In the even-dimensional case we characterize $b_d$ in terms of elementary functions. In the analysis we use properties of radial
CAPPIELLO, Marco +2 more
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Approximate Solution of Schrodinger Equation to Diatomic Molecule for Harmonic Oscillator
UMYU Scientifica Journal, 2023 This study has described the approximate solution of Schrodinger equation to diatomic molecule for harmonic oscillator. The solution procedure is developed by the Power series method and Newton’s second law.
Alhaji Tahir, Bukar Hassan
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Spectrum of a perturbed harmonic oscillator [PDF]
, 2023 In this article the spectrum of a perturbed harmonic oscillator is calculated. New correctly solvable boundary value problems are used for the corresponding harmonic oscillator.
Dosmagulova, Karlygash +2 more
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Journal 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
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Creating electronic oscillator-based Ising machines without external injection locking
Scientific 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
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Topological Effects of a Spiral Dislocation on Quantum Revivals
Universe, 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
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Photonic microwave harmonic generator driven by an optoelectronic ring oscillator [PDF]
, 2007 We describe a new architecture to generate microwave signals by optical means. Our system combines the advantages of two techniques: frequency multipliers and loop oscillators.
Margarita Varon Duran +5 more
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