Results 11 to 20 of about 10,495 (249)
Discrete Quantum Harmonic Oscillator [PDF]
Symmetry, 2019 In this paper, we propose a discrete model for the quantum harmonic oscillator. The eigenfunctions and eigenvalues for the corresponding Schrödinger equation are obtained through the factorization method. It is shown that this problem is also connected with the equation for Meixner polynomials.
Alina Dobrogowska +1 more
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Quantum dynamics of the damped harmonic oscillator
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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The multi-faceted inverted harmonic oscillator: Chaos and complexity
SciPost Physics Core, 2021 The harmonic oscillator is the paragon of physical models; conceptually and computationally simple, yet rich enough to teach us about physics on scales that span classical mechanics to quantum field theory.
Arpan Bhattacharyya, Wissam Chemissany, S. Shajidul Haque, Jeff Murugan, Bin Yan
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Exact Solution of a Time-Dependent Quantum Harmonic Oscillator with Two Frequency Jumps via the Lewis-Riesenfeld Dynamical Invariant Method. [PDF]
Entropy (Basel), 2022 Harmonic oscillators with multiple abrupt jumps in their frequencies have been investigated by several authors during the last decades. We investigate the dynamics of a quantum harmonic oscillator with initial frequency $\omega_0$, that undergoes a ...
Coelho SS, Queiroz L, Alves DT.
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Unveiling the Damped Quantum Harmonic Oscillator
Jurnal Kumparan FisikaThis article dis cusses the often-overlooked "damped" quantum harmonic oscillator, a vibrating system that loses energy over time. We bridge the classical-quantum divide, starting with the familiar equation of motion for a damped oscillator using Hooke's
Yahya Efendi +2 more
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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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Enhancement of quantum synchronization via continuous measurement and feedback control
New Journal of Physics, 2021 We study synchronization of a quantum van der Pol oscillator with a harmonic drive and demonstrate that quantum synchronization can be enhanced by performing continuous homodyne measurement on an additional bath linearly coupled to the oscillator and ...
Yuzuru Kato, Hiroya Nakao
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KAM for the Quantum Harmonic Oscillator [PDF]
Communications in Mathematical Physics, 2011 In this paper we prove an abstract KAM theorem for infinite dimensional Hamiltonians systems. This result extends previous works of S.B. Kuksin and J. Pöschel and uses recent techniques of H. Eliasson and S.B. Kuksin. As an application we show that some 1D nonlinear Schrödinger equations with harmonic potential admits many quasi-periodic solutions.
Grébert, Benoît, Thomann, Laurent
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Controllability of Quantum Harmonic Oscillators [PDF]
IEEE Transactions on Automatic Control, 2004 It is proven in a previous paper that any modal approximation of the one-dimensional quantum harmonic oscillator is controllable. We prove here that, contrary to such finite-dimensional approximations, the original infinite-dimensional system is not controllable: Its controllable part is of dimension 2 and corresponds to the dynamics of the average ...
Mazyar Mirrahimi, Pierre Rouchon
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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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