Results 21 to 30 of about 162,690 (325)
A Pleijel-type theorem for the quantum harmonic oscillator [PDF]
, 2015 We prove a Pleijel-type theorem for the asymptotic behaviour of the number of nodal domains of eigenfunctions of the quantum harmonic oscillator in any dimension.
Philippe Charron
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Amplitude and phase representation of quantum invariants for the time-dependent harmonic oscillator [PDF]
, 2003 The correspondence between classical and quantum invariants is established. The Ermakov Lewis quantum invariant of the time dependent harmonic oscillator is translated from the coordinate and momentum operators into amplitude and phase operators.
M. Fernández‐Guasti, H. M. Moya-Cessa
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Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials [PDF]
, 2013 We prove that every rational extension of the quantum harmonic oscillator that is exactly solvable by polynomials is monodromy free, and therefore can be obtained by applying a finite number of state-deleting Darboux transformations on the harmonic ...
David Gómez‐Ullate +2 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, 2012 This paper has been withdrawn by the authors due to a crucial approximation error in the first order approximation of the equation (4)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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Time-dependent quantum harmonic oscillator: a continuous route from adiabatic to sudden changes [PDF]
Journal of Physics B: Atomic, Molecular and Optical Physics, 2020 In this work, we give a quantitative answer to the question: how sudden or how adiabatic is a frequency change in a quantum harmonic oscillator (HO)? We do that by studying the time evolution of a HO which is initially in its fundamental state and whose ...
D. Martínez-Tibaduiza +2 more
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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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