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Anharmonic oscillator description of plasma oscillations

The Physics of Fluids, 1976
Three recently investigated plasma oscillations have been found to be described by a nonlinear differential equation of the form d2x/dt2+ω20x+bx2+ax3=0. This equation is similar to the Duffing equation, but has many additional features. These features include additional shifts in the frequency of oscillation, asymmetry of the amplitude of oscillation ...
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A supersymmetric anharmonic oscillator

Soviet Physics Journal, 1990
We consider the supersymmetric model obtained from the Wess-Zumino model with interaction, with the help of a dimensional reduction. The solution is found of the corresponding classical problem with a precision up to terms of the third order of smallness. A quantum model of such a system is constructed.
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Anharmonic oscillator

Proceedings of the Indian Academy of Sciences - Section A, 1973
P. Lu, S. S. Wald, B. L. Young
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Iterative Bogoliubov transformations and anharmonic oscillators

Physical Review A, 1992
An algebraic method for studying quantum anharmonic oscillators is proposed. It consists in the iterative application of generalized (squeezing) Bogoliubov transformations to the usual creation and annihilation operators. The convergence of this procedure is analyzed for quartic, cubic plus quartic, and symmetric-double-well Hamiltonians.
, Jáuregui, , Récamier
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Anharmonic Grassmann oscillator

Physical Review D, 1989
, Delbourgo, , Jones, , White
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On the anharmonic oscillator

Journal of Computational Physics, 1982
Abstract An examination of the mean-square displacement function and of a continued fraction approximation to it shows that simple approximations are available which involve only square-root functions. Comparative data are presented.
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Theory of a quantum anharmonic oscillator

Physical Review A, 1988
The time evolution of a quantum single-quartic anharmonic oscillator is considered. The study is carried on in operational form by use of the raising and lowering operators of the oscillator. The equation of motion is solved by application of a new integration method based on iteration techniques, and the rigorous solutions that describe the time ...
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Anharmonic Oscillator

Physical Review, 1969
Carl M. Bender, Tai Tsun Wu
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Wild Spectral Behaviour of Anharmonic Oscillators

Bulletin of the London Mathematical Society, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Quantum Anharmonic Oscillator

2022
Alexander V Turbiner   +1 more
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