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On the interactions of a harmonic oscillator
European Journal of Physics, 2007no ...
Cédric Jai, Rodolphe Boisgard
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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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, 1995 As an extended example of Newtonian dynamics, let us examine the motion of a particle under the influence of a force whose magnitude is proportional to the displacement of the particle from an equilibrium position, and whose direction is toward that equilibrium position.
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2017
As a first application of the matrix method, the quantum mechanical behavior of the harmonic oscillator is discussed in detail.
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As a first application of the matrix method, the quantum mechanical behavior of the harmonic oscillator is discussed in detail.
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2020
Having his equation well in hand, Schrodinger proceeded to solving it for various important physical systems. We now will consider the first such system, the harmonic oscillator moving along a straight line.
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Having his equation well in hand, Schrodinger proceeded to solving it for various important physical systems. We now will consider the first such system, the harmonic oscillator moving along a straight line.
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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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2015
The first truly significant application of the quantization conditions of the previous chapter concerns the determination of the eigenvalues of the energy for a one-dimensional oscillator. In this section we shall limit ourselves to obtain only some qualitative conditions on the energy levels of the oscillator, mainly with the purpose of giving to the ...
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The first truly significant application of the quantization conditions of the previous chapter concerns the determination of the eigenvalues of the energy for a one-dimensional oscillator. In this section we shall limit ourselves to obtain only some qualitative conditions on the energy levels of the oscillator, mainly with the purpose of giving to the ...
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2018
Abstract This chapter discusses the harmonic oscillator, which is a model ubiquitous to all branches of physics. The harmonic oscillator is a system with well-known solutions and has been fully investigated since it was first developed by Robert Hooke in the seventeenth century.
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Abstract This chapter discusses the harmonic oscillator, which is a model ubiquitous to all branches of physics. The harmonic oscillator is a system with well-known solutions and has been fully investigated since it was first developed by Robert Hooke in the seventeenth century.
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Valons and harmonic oscillators
Physical Review D, 1981The valon distribution derived by Hwa is compared with the valence-quark distribution from the covariant-harmonic-oscillator wave function which correctly describes the proton-form-factor behavior, and which provides a covariant representation of the hadron mass spectra.
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