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Nonadiabatic Harmonic Oscillator
The Physics of Fluids, 1970Nonadiabatic changes in the action integral are estimated for the special case of even ω(t) by using a steepest-descent method to evaluate an integral of Vandervoort. The results are found to be in good agreement with a numerical example.
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SIAM Journal on Applied Mathematics, 1973
The normal modes of oscillation of a circular array of linked harmonic oscillators are considered from a variety of points of view, and a representation of the oscillations of an infinite array in terms of contour integrals is given.
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The normal modes of oscillation of a circular array of linked harmonic oscillators are considered from a variety of points of view, and a representation of the oscillations of an infinite array in terms of contour integrals is given.
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1993
This chapter is the closest in these notes to what is usually called “Quantum Mechanics”. The present version is considerably shorter than the original French. It thus becomes more obvious that its main topic is not really elementary quantum mechanics, but rather elementary Fock space, and the quantum analogue of finite dimensional Gaussian random ...
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This chapter is the closest in these notes to what is usually called “Quantum Mechanics”. The present version is considerably shorter than the original French. It thus becomes more obvious that its main topic is not really elementary quantum mechanics, but rather elementary Fock space, and the quantum analogue of finite dimensional Gaussian random ...
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Weakly Coupled Harmonic Oscillators
SIAM Journal on Applied Mathematics, 1974Sufficient conditions are given here for the existence and stability of a possibly infinite sequence of isolated periodic solutions of the nonautonomous system of differential equations \[ \ddot y_k + \omega _k^2 y_k = \mu f_k \left(y_1 , \cdots ,y_n ,\dot y_1 , \cdots ,\dot y_n ,t\right) \], where $0 < \mu \ll 1,k = 1, \cdots ,n$.
Ponzo, Peter J., Wax, Nelson
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Memristive control of mutual spin Hall nano-oscillator synchronization for neuromorphic computing
Nature Materials, 2021Mohammad Zahedinejad +2 more
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A 1,968-node coupled ring oscillator circuit for combinatorial optimization problem solving
Nature Electronics, 2022William Moy, Ibrahim Ahmed, Po-Wei Chiu
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A catalytically active oscillator made from small organic molecules
Nature, 2023, Oliver Rupert Maguire
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