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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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, 1969
The theory of explicitly time‐dependent invariants is developed for quantum systems whose Hamiltonians are explicitly time dependent. The central feature of the discussion is the derivation of a simple relation between eigenstates of such an invariant ...
H. Lewis, W. Riesenfeld
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The theory of explicitly time‐dependent invariants is developed for quantum systems whose Hamiltonians are explicitly time dependent. The central feature of the discussion is the derivation of a simple relation between eigenstates of such an invariant ...
H. Lewis, W. Riesenfeld
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On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)q
, 1989The quantum group SU(2)q is discussed by a method analogous to that used by Schwinger to develop the quantum theory of angular momentum. Such theory of the q-analogue of the quantum harmonic oscillator, as is required for this purpose, is developed.
A. Macfarlane
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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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On the interactions of a harmonic oscillator
European Journal of Physics, 2007no ...
Cédric Jai, Rodolphe Boisgard
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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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