Results 11 to 20 of about 856,893 (374)
Stein's method and approximating the quantum harmonic oscillator. [PDF]
Bernoulli (Andover), 2019 McKeague IW, Peköz EA, Swan Y.
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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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Super algebra and Harmonic Oscillator in Anti de Sitter space [PDF]
Iranian Journal of Astronomy and Astrophysics, 2019 The harmonic oscillator in anti de Sitter space(AdS) is discussed. We consider the harmonic oscillator potential and then time independent Schrodinger equation in AdS space.
Omid Jalili, Shahin Toni
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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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Algebraic solution for the classical harmonic oscillator
Revista Brasileira de Ensino de Física, 2023 The harmonic oscillator is one of the most studied systems in Physics with a myriad of applications. One of the first problems solved in a Quantum Mechanics course is calculating the energy spectrum of the simple harmonic oscillator with analytic and ...
Murilo B. Alves
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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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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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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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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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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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