Results 11 to 20 of about 239,273 (289)
ADELIC HARMONIC OSCILLATOR [PDF]
International Journal of Modern Physics A, 1995 Using the Weyl quantization we formulate one-dimensional adelic quantum mechanics, which unifies and treats ordinary and p-adic quantum mechanics on an equal footing. As an illustration the corresponding harmonic oscillator is considered. It is a simple, exact and instructive adelic model. Eigenstates are Schwartz-Bruhat functions.
Dragovich, Branko
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Exact solution of the time-dependent harmonic plus an inverse harmonic potential with a time-dependent electromagnetic field [PDF]
, 2003 In this article, the problem of the charged harmonic plus an inverse harmonic oscillator with time-dependent mass and frequency in a time-dependent electromagnetic field is investigated. It is reduced to the problem of the inverse harmonic oscillator with time-independent parameters and the exact wave function is obtained.
Arfken +15 more
arxiv +3 more sources
Radiation reaction and quantum damped harmonic oscillator [PDF]
Mod. Phys. Lett. A, Vol. 20, No. 39 (2005) 3025-3034, 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 oscillator investigated.
F. KHEIRANDISH +5 more
arxiv +3 more sources
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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Journal of Low Frequency Noise, Vibration and Active Control, 2022 This paper focuses on the numerical investigation of a strongly nonlinear oscillator with cubic and harmonic restoring force. We transform this oscillator as a free damped cubic-quintic Duffing oscillator equation by Taylor approximation.
Junfeng Lu
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A THEOREM ON CYCLIC HARMONIC OSCILLATORS [PDF]
International Journal of Modern Physics A, 2006 It is proven that the energy of a quantum mechanical harmonic oscillator with a generically time-dependent but cyclic frequency, ω(t0) = ω(0), cannot decrease on an average if the system is originally in a stationary state, after the system goes through a full cycle.
KONISHI, KENICHI, PAFFUTI, GIAMPIERO
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Creating electronic oscillator-based Ising machines without external injection locking
Scientific Reports, 2022 Coupled electronic oscillators have recently been explored as a compact, integrated circuit- and room temperature operation-compatible hardware platform to design Ising machines.
Jaykumar Vaidya +2 more
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Unitary relation between a harmonic oscillator of time-dependent frequency and a simple harmonic oscillator with and without an inverse-square potential [PDF]
, 2000 The unitary operator which transforms a harmonic oscillator system of time-dependent frequency into that of a simple harmonic oscillator of different time-scale is found, with and without an inverse-square potential. It is shown that for both cases, this
A.N. Seleznyova +26 more
core +2 more sources
The noncommutative harmonic oscillator in more than one dimensions [PDF]
, 2001 The noncommutative harmonic oscillator in arbitrary dimension is examined. It is shown that the $\star$-genvalue problem can be decomposed into separate harmonic oscillator equations for each dimension. The noncommutative plane is investigated in greater
Agapitos Hatzinikitas +6 more
core +2 more sources
Iraqi Journal of Physics, 2019 The nuclear charge density distributions, form factors and corresponding proton, charge, neutron, and matter root mean square radii for stable 4He, 12C, and 16O nuclei have been calculated using single-particle radial wave functions of Woods-Saxon ...
Arkan R. Ridha
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