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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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A quadratic time-dependent quantum harmonic oscillator [PDF]
Scientific Reports, 2023 We present a Lie algebraic approach to a Hamiltonian class covering driven, parametric quantum harmonic oscillators where the parameter set—mass, frequency, driving strength, and parametric pumping—is time-dependent.
F. E. Onah +5 more
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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 probability applied to the damped harmonic oscillator [PDF]
arXiv, 2004 In this introductory course we sketch the framework of quantum probability in order to discuss open quantum systems, in particular the damped harmonic oscillator.
Hans Maassen
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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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Non-KAM classical chaos topology for electrons in superlattice minibands determines the inter-well quantum transition rates [PDF]
Scientific ReportsWe investigate the quantum-classical correspondence for a particle tunnelling through a periodic superlattice structure with an applied bias voltage and an additional tilted harmonic oscillator potential.
F. Wang +3 more
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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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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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Foundations, 2023 A brief review of the classical and quantum description of the interaction of electromagnetic radiation with matter based on the model of a harmonic oscillator is presented.
Valery Astapenko, Timur Bergaliyev
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Quantum dynamics of A damped harmonic oscillator with velocity-dependent coupling [PDF]
Iranian Journal of Physics Research, 2022 The quantum theory of a damped harmonic oscillator has been continuously studied since 1939. For quantization, an oscillation oscillator usually uses a reservoir that includes a number of finite and discrete oscillators.
Mohsen Daeimohammad +1 more
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