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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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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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On relativistic harmonic oscillator [PDF]
Hadronic Journal, 2017 A relativistic quantum harmonic oscillator in 3+1 dimensions is derived from a quaternionic non-relativistic quantum harmonic oscillator. This quaternionic equation also yields the Klein-Gordon wave equation with a covariant (space-time dependent) mass ...
Arbab, A. I., A. I. Arbab
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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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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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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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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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Quantum Harmonic Oscillator Spectrum Analyzers [PDF]
Physical Review Letters, 2021 Katherine McCormick +2 more
exaly +2 more sources
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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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 +9 more
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