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The Harmonic Oscillator on the Heisenberg Group
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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Quantum harmonic oscillator with superoscillating initial datum [PDF]
, 2014 In this paper, we study the evolution of superoscillating initial data for the quantum driven harmonic oscillator. Our main result shows that superoscillations are amplified by the harmonic potential and that the analytic solution develops a singularity ...
R. Buniy +3 more
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Lissajous curves and semiclassical theory: The two-dimensional harmonic oscillator [PDF]
, 2006 The semiclassical treatment of the two-dimensional harmonic oscillator provides an instructive example of the relation between classical motion and the quantum mechanical energy spectrum.
Brack M. +5 more
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The energy-critical quantum harmonic oscillator [PDF]
, 2014 We consider the energy critical nonlinear Schrödinger equation in dimensions 3 and above with a harmonic oscillator potential. In the defocusing situation, we prove global wellposedness for all initial data in the energy space Σ. This extends a result of
Casey Jao
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Realization of a Second Harmonic Antenna for Rural Communications [PDF]
ITB Journal of Engineering Science, 2006 In this research, an active antenna operated at the second harmonic frequency is investigated, and is implemented using microstrip antenna material.
Adit Kurniawan, Ahmad Hasyim, Yuyu Wahyu
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Heat transport in harmonic oscillator systems with thermal baths: application to optomechanical arrays [PDF]
, 2014 We investigate the transport of phonons between N harmonic oscillators in contact with independent thermal baths and coupled to a common oscillator, and derive an expression for the steady state heat flow between the oscillators in the weak coupling ...
A. Xuereb, A. Imparato, A. Dantan
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Quantum ReportsWe determine the evolving probability representation of entangled cat states in the potential of either the harmonic oscillator or the inverted oscillator, assuming that the states are initially prepared in the potential of the harmonic oscillator.
Matyas Mechler +3 more
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Shell-model calculations for the three-nucleon system [PDF]
, 1997 We use Faddeev's decomposition to solve the shell-model problem for three nucleons. The dependence on harmonic-oscillator excitations allowed in the model space, up to $32 \hbar\Omega$ in the present calculations, and on the harmonic-oscillator frequency
A. G. M. van Hees +21 more
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General Solution of the Quantum Damped Harmonic Oscillator
, 2008 In this paper the general solution of the quantum damped harmonic oscillator is given.Comment: Latex ; 10 pages ; no figure ; typos corrected.
Breuer H.-P. +4 more
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On some aspects of the dynamic behavior of the softening Duffing oscillator under harmonic excitation [PDF]
, 2016 The Duffing oscillator is probably the most popular example of a nonlinear oscillator in dynamics. Considering the case of softening Duffing oscillator with weak damping and harmonic excitation and performing standard methods like harmonic balance or ...
Lentz, Lukas, Wagner, Utz von
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