Results 11 to 20 of about 25,652 (291)
ON RELATIVISTIC HARMONIC OSCILLATOR
Hadronic Journal, 2022 9 LaTeX pages, no ...
Arbab, A. I.
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Quantum dynamics of the damped harmonic oscillator
New Journal of Physics, 2012 The quantum theory of the damped harmonic oscillator has been a subject of continual investigation since the 1930s. The obstacle to quantization created by the dissipation of energy is usually dealt with by including a discrete set of additional harmonic
T G Philbin
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Simple Harmonic Oscillator Equation and Its Hyers-Ulam Stability [PDF]
Journal of Function Spaces and Applications, 2012 We solve the inhomogeneous simple harmonic oscillator equation and apply this result to obtain a partial solution to the Hyers-Ulam stability problem for the simple harmonic oscillator equation.
Soon-Mo Jung, Byungbae Kim
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Harmonic Oscillator SUSY Partners and Evolution Loops [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2012 Supersymmetric quantum mechanics is a powerful tool for generating exactly solvable potentials departing from a given initial one. If applied to the harmonic oscillator, a family of Hamiltonians ruled by polynomial Heisenberg algebras is obtained.
David J. Fernández
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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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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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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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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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, 2023 We show that harmonic oscillator propagators and fractional Fourier transforms are essentially the same. We deduce continuity properties and fix time estimates for such operators on modulation spaces, and apply the results to prove Strichartz estimates ...
Manna, Ramesh +6 more
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