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IEEE Transactions on Circuits and Systems Part 1: Regular Papers, 2019
This paper considers the distributed control problem for a network of harmonic oscillator systems with delayed velocity coupling and signed graph topology containing a directed spanning tree.
Qiang Song +4 more
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This paper considers the distributed control problem for a network of harmonic oscillator systems with delayed velocity coupling and signed graph topology containing a directed spanning tree.
Qiang Song +4 more
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, 1989 As an application of the Schrodinger equation, we now calculate the states of a particle in an oscillator potential. From classical mechanics we know that such a potential is of greater importance, because many complicated potentials can be approximated in the vicinity of their equilibrium points by a harmonic oscillator.
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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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IEEE Journal of Solid-State Circuits, 2018
This paper details the theory and implementation of an inverse-class-F (class- $\text{F}^{-1}$ ) CMOS oscillator. It features: 1) a single-ended PMOS-NMOS-complementary architecture to generate the differential outputs and 2) a transformer-based two-port
Chee-Cheow Lim +4 more
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This paper details the theory and implementation of an inverse-class-F (class- $\text{F}^{-1}$ ) CMOS oscillator. It features: 1) a single-ended PMOS-NMOS-complementary architecture to generate the differential outputs and 2) a transformer-based two-port
Chee-Cheow Lim +4 more
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, 1994 In this section I will put the hamwnic oscillator in its place-on a pedestaL Not only is it a system that can be exactly solved (in classical and quantum theory) and a superb pedagogical tool (which will be repeatedly exploited in this text), but it is also a system of great physical relevance.
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1997
Physically, the harmonic oscillator in the plane is described by a particle of unit mass acted upon by two linear springs of unit spring constant: one spring acts in the x 1-direction and the other in the x 2-direction. Mathematically, the configuration space of the harmonic oscillator is Euclidean 2-space.
Richard Cushman, Larry Bates
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Physically, the harmonic oscillator in the plane is described by a particle of unit mass acted upon by two linear springs of unit spring constant: one spring acts in the x 1-direction and the other in the x 2-direction. Mathematically, the configuration space of the harmonic oscillator is Euclidean 2-space.
Richard Cushman, Larry Bates
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2013
The harmonic oscillator is one of the most important systems of physics. It occurs almost everywhere where vibration is found—from the ideal pendulum to quantum field theory. Among other things, the reason is that the parabolic oscillator potential is a good approximation of a general potential V(x), if we consider small oscillations around a stable ...
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The harmonic oscillator is one of the most important systems of physics. It occurs almost everywhere where vibration is found—from the ideal pendulum to quantum field theory. Among other things, the reason is that the parabolic oscillator potential is a good approximation of a general potential V(x), if we consider small oscillations around a stable ...
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2014
We start this part devoted to lumped parameter models by studying a simple paradigmatic model in physics: the harmonic oscillator. In principle, it corresponds to a mechanical system consisting of a mass connected to a spring and a dashpot (see Fig.
Alfredo Bermúdez +2 more
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We start this part devoted to lumped parameter models by studying a simple paradigmatic model in physics: the harmonic oscillator. In principle, it corresponds to a mechanical system consisting of a mass connected to a spring and a dashpot (see Fig.
Alfredo Bermúdez +2 more
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1996
The harmonic oscillator provides a unique opportunity to study with simple mathematics the properties acquired by a mechanical system in permanent contact with the zeropoint field, and to assess with a specific example the merit of the assumption that the classical particle becomes through this interaction a quantum object.
Luis de la Peña, Ana María Cetto
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The harmonic oscillator provides a unique opportunity to study with simple mathematics the properties acquired by a mechanical system in permanent contact with the zeropoint field, and to assess with a specific example the merit of the assumption that the classical particle becomes through this interaction a quantum object.
Luis de la Peña, Ana María Cetto
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The bifurcated harmonic oscillator
Journal of Physics A: Mathematical and General, 2005Summary: Some general properties of a bifurcated oscillator potential in one dimension are analysed. Appropriate wavefunctions in different regions with continuity conditions lead to a simple relation for the energies. The properties of these energies for small and large values of separation are used to develop simple and accurate expressions for the ...
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