The Harmonic Oscillator on the Heisenberg Group [PDF]
Comptes Rendus. Mathématique, 2020 In this note we present a notion of harmonic oscillator on the Heisenberg group $\mathbf{H}_n$ which forms the natural analogue of the harmonic oscillator on $\mathbb{R}^n$ under a few reasonable assumptions: the harmonic oscillator on $\mathbf{H}_n ...
Rottensteiner, David, Ruzhansky, Michael
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ON RELATIVISTIC HARMONIC OSCILLATOR [PDF]
Hadronic Journal, 2022 9 LaTeX pages, no ...
Arbab, A. I.
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Algebraic solution for the classical harmonic oscillator [PDF]
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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Thermalization in a Quantum Harmonic Oscillator with Random Disorder [PDF]
Entropy, 2020 We propose a possible scheme to study the thermalization in a quantum harmonic oscillator with random disorder. Our numerical simulation shows that through the effect of random disorder, the system can undergo a transition from an initial nonequilibrium ...
Ya-Wei Hsueh +2 more
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Quantum dynamics of the damped harmonic oscillator [PDF]
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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Multi objective optimization algorithm for hybrid quantum harmonic oscillator and its application in rotor system optimization [PDF]
Scientific ReportsThe importance of support system dynamic fidelity in capturing turbine rotor performance in unbalance response and critical speed is considered. Lobal optimization methods based on multi-scale quantum harmonic oscillator algorithm and genetic algorithm ...
Jun Li +6 more
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Stochastic Electrodynamics: Lessons from Regularizing the Harmonic Oscillator
Atoms, 2019 In this paper, the harmonic oscillator problem in Stochastic Electrodynamics is revisited. Using the exact shape of the Lorentz damping term prevents run-away effects.
Theodorus Maria Nieuwenhuizen
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Flexible and stable optical parametric oscillator based laser system for coherent anti-Stokes Raman scattering microscopy [PDF]
, 2010 The characteristics of a stable and flexible laser system based on a synchronously pumped optical parametric oscillator (OPO) is presented. This OPO can offer very stable operation with both approximately 1 ps and approximately 300 fs outputs over a ...
Parsons, Maddy; id_orcid +3 more
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Fractional Fourier transforms, harmonic oscillator propagators and Strichartz estimates on Pilipovic and modulation spaces [PDF]
, 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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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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