Results 41 to 50 of about 96,212 (277)
A linear chaotic quantum harmonic oscillator [PDF]
Applied Mathematics Letters, 1999 This very brief article examines the chaoticity in the sense of Li and Yorke of two linear operators on \(L^2(\mathbb R)\). The first, which is known to be topologically transitive, is shown to support a chaotic set in the sense of Li and Yorke. This (a little unclearly) shows Li-Yorke-chaoticity of a quantum oscillator. The second (related), parameter
Pei-De Liu +4 more
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, 2019 Quantum harmonic oscillator (QHO) involves square law potential (x2) in the Schrodinger equation and is a fundamental problem in quantum mechanics. It can be solved by various conventional methods such as (i) analytical methods where Hermite polynomials are involved, (ii) algebraic methods where ladder operators are involved, and (iii) approximation ...
Piotr Kielanowski +2 more
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Thermal and Quantum Fluctuations of Harmonic Oscillator
JOURNAL OF PHYSICS AND CHEMISTRY RESEARCH, 2022 4 pages, no ...
Tanaka, Shigenori, Komeiji, Yuto
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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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Quantum Harmonic Oscillator Systems with Disorder [PDF]
Journal of Statistical Physics, 2012 We study many-body properties of quantum harmonic oscillator lattices with disorder. A sufficient condition for dynamical localization, expressed as a zero-velocity Lieb-Robinson bound, is formulated in terms of the decay of the eigenfunction correlators for an effective one-particle Hamiltonian.
Nachtergaele, Bruno +2 more
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Discretized representations of harmonic variables by bilateral Jacobi operators
Discrete Dynamics in Nature and Society, 2000 Starting from a discrete Heisenberg algebra we solve several representation problems for a discretized quantum oscillator in a weighted sequence space. The Schrödinger operator for a discrete harmonic oscillator is derived. The representation problem for
Andreas Ruffing
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Radiation reaction and quantum damped harmonic oscillator
, 2005 By taking a Klein-Gordon field as the environment of an harmonic oscillator and using a new method for dealing with quantum dissipative systems (minimal coupling method), the quantum dynamics and radiation reaction for a quantum damped harmonic ...
F. KHEIRANDISH +5 more
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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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On a hidden symmetry of quantum harmonic oscillators [PDF]
Journal of Difference Equations and Applications, 2013 11 pages, 20 ...
Sergei K. Suslov +2 more
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Asymmetric variation of a finite mass harmonic like oscillator
Results in Physics, 2020 Classical and quantum mechanical analysis have been carried out on harmonic like oscillator with asymmetric position dependent mass. Phase space analysis are performed both classically and quantum mechanically for a plausible understanding of the subject.
Jihad Asad +6 more
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