Results 11 to 20 of about 96,212 (277)
1-D Harmonic Oscillator in Snyder Space, the Classic and the Quantum [PDF]
, 2008 The 1-D dimension harmonic oscillator in Snyder space is investigated in its classical and quantum versions. The classical trajectory is obtained and the semiclassical quantization from the phase space trajectories is discussed.
A. Kempf +13 more
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The Bicomplex Quantum Harmonic Oscillator
arXiv: Mathematical Physics, 2010 The problem of the quantum harmonic oscillator is investigated in the framework of bicomplex numbers, which are pairs of complex numbers making up a commutative ring with zero divisors. Starting with the commutator of the bicomplex position and momentum operators, and adapting the algebraic treatment of the standard quantum harmonic oscillator, we find
Raphaël Gervais Lavoie +2 more
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Quantized field with excitations of spacetime [PDF]
Scientific ReportsWe study a quantized field that can excite its underlying spacetime and has the properties of a bosonic field. A particle in this field is a harmonic oscillator in time, also known as a proper time oscillator, which is an excitation of spacetime. Time in
Hou Yau
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Quantum harmonic oscillator for dipoles
, 2012 This paper has been withdrawn by the authors due to a crucial approximation error in the first order approximation of the equation (4)
Cleverson Filgueiras +2 more
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Nonadiabaticity of quantum harmonic oscillators [PDF]
Physics Letters A, 2022 12 pages, 3 ...
Hyeong-Chan Kim, Youngone Lee
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Rogue quantum harmonic oscillations [PDF]
Physica A: Statistical Mechanics and its Applications, 2020 We show the existence and investigate the dynamics and statistics of rogue oscillations (standing waves) generated in the frame of the nonlinear quantum harmonic oscillator (NQHO). With this motivation, in this paper, we develop a split-step Fourier scheme for the computational analysis of NQHO.
Cihan Bayindir +2 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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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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