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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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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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A discrete quantum model of the harmonic oscillator [PDF]
Journal of Physics A: Mathematical and Theoretical, 2008 We construct a new model of the quantum oscillator, whose energy spectrum is equally-spaced and lower-bounded, whereas the spectra of position and momentum are a denumerable non-degenerate set of points in [-1,1] that depends on the deformation parameter q from (0,1). We provide its explicit wavefunctions, both in position and momentum representations,
Natig M. Atakishiyev +2 more
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Finite quantum kinematics of the harmonic oscillator [PDF]
Journal of Mathematical Physics, 2006 Arbitrarily small changes in the commutation relations suffice to transform the usual singular quantum theories into regular quantum theories. This process is an extension of canonical quantization that we call general quantization. Here we apply general quantization to the time-independent linear harmonic oscillator.
Mohsen Shiri-Garakani, David Finkelstein
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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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Quantum Computation with Harmonic Oscillators
, 2000 4 pages, version as it appears in conference ...
Stephen D. Bartlett +3 more
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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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