Results 1 to 10 of about 708,136 (308)
On then-dimensional harmonic oscillator [PDF]
Annali di Matematica Pura ed Applicata, 1979 In this paper, various oscillatory properties of solutions of the scalar equation x″+q(t)x=0 are extended to the vector equation u″+Q(t)u=0.
Sui-Sun Cheng
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Chemical Reviews, 2016 Molecular mechanics force fields that explicitly account for induced polarization represent the next generation of physical models for molecular dynamics simulations.
Justin A Lemkul, Jing Huang, Benoit Roux
exaly +2 more sources
Exponential growth of out-of-time-order correlator without chaos: inverted harmonic oscillator [PDF]
Journal of High Energy Physics, 2020 We provide a detailed examination of a thermal out-of-time-order correlator (OTOC) growing exponentially in time in systems without chaos. The system is a one-dimensional quantum mechanics with a potential whose part is an inverted harmonic oscillator ...
K. Hashimoto +3 more
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The multi-faceted inverted harmonic oscillator: Chaos and complexity [PDF]
SciPost Physics Core, 2020 The harmonic oscillator is the paragon of physical models; conceptually and computationally simple, yet rich enough to teach us about physics on scales that span classical mechanics to quantum field theory.
Arpan Bhattacharyya +4 more
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Spin Heat Engine Coupled to a Harmonic-Oscillator Flywheel. [PDF]
Physical Review Letters, 2018 We realize a heat engine using a single-electron spin as a working medium. The spin pertains to the valence electron of a trapped ^{40}Ca^{+} ion, and heat reservoirs are emulated by controlling the spin polarization via optical pumping.
D. Lindenfels +6 more
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Multiple Nonlinear Harmonic Oscillator-Based Frequency Estimation for Distorted Grid Voltage
IEEE Transactions on Instrumentation and Measurement, 2020 In the presence of nonlinear loads and various disturbances, harmonics and dc bias may corrupt the grid voltage signal leading to distorted grid. Frequency estimation of distorted grid signal is a challenging issue. In this paper, multiresonant nonlinear
H. Ahmed, M. Bierhoff, M. Benbouzid
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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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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
Richard L. Hall +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 ...
Zhi-Feng Li +4 more
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Reducibility of the Quantum Harmonic Oscillator in $d$-dimensions with Polynomial Time Dependent Perturbation [PDF]
, 2017 We prove a reducibility result for a quantum harmonic oscillator in arbitrary dimensions with arbitrary frequencies perturbed by a linear operator which is a polynomial of degree two in $x_j$, $-i \partial_j$ with coefficients which depend ...
D. Bambusi +3 more
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