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  2. Simple harmonic motion - Wikipedia

    en.wikipedia.org/wiki/Simple_harmonic_motion

    The motion of a particle moving along a straight line with an acceleration whose direction is always toward a fixed point on the line and whose magnitude is proportional to the displacement from the fixed point is called simple harmonic motion. [2] In the diagram, a simple harmonic oscillator, consisting of a weight attached to one end of a ...

  3. Harmonic oscillator - Wikipedia

    en.wikipedia.org/wiki/Harmonic_oscillator

    A simple harmonic oscillator is an oscillator that is neither driven nor damped.It consists of a mass m, which experiences a single force F, which pulls the mass in the direction of the point x = 0 and depends only on the position x of the mass and a constant k.

  4. Orbit (dynamics) - Wikipedia

    en.wikipedia.org/wiki/Orbit_(dynamics)

    Diagram showing the periodic orbit of a mass-spring system in simple harmonic motion. (Here the velocity and position axes have been reversed from the standard convention in order to align the two diagrams) Given a dynamical system (T, M, Φ) with T a group, M a set and Φ the evolution function

  5. Harmonic motion - Wikipedia

    en.wikipedia.org/wiki/Harmonic_motion

    Harmonic motion can mean: the displacement of the particle executing oscillatory motion that can be expressed in terms of sine or cosine functions known as harmonic motion . The motion of a Harmonic oscillator (in physics), which can be: Simple harmonic motion; Complex harmonic motion; Keplers laws of planetary motion (in physics, known as the ...

  6. Phase space - Wikipedia

    en.wikipedia.org/wiki/Phase_space

    There may easily be more than one microstate with the same macrostate. For example, for a fixed temperature, the system could have many dynamic configurations at the microscopic level. When used in this sense, a phase is a region of phase space where the system in question is in, for example, the liquid phase, or solid phase, etc.

  7. Restoring force - Wikipedia

    en.wikipedia.org/wiki/Restoring_force

    The restoring force is often referred to in simple harmonic motion. The force responsible for restoring original size and shape is called the restoring force. [1] [2] An example is the action of a spring. An idealized spring exerts a force proportional to the amount of deformation of the spring from its equilibrium length, exerted in a ...

  8. Rayleigh–Ritz method - Wikipedia

    en.wikipedia.org/wiki/Rayleigh–Ritz_method

    Simple harmonic motion theory says that the velocity at the time when deflection is zero, is the angular frequency times the deflection (y) at time of maximum deflection. In this example the kinetic energy (KE) for each mass is 1 2 ω 2 Y 1 2 m 1 {\textstyle {\frac {1}{2}}\omega ^{2}Y_{1}^{2}m_{1}} etc., and the potential energy (PE) for each ...

  9. Quantum harmonic oscillator - Wikipedia

    en.wikipedia.org/wiki/Quantum_harmonic_oscillator

    The Hooke's atom is a simple model of the helium atom using the quantum harmonic oscillator. Modelling phonons, as discussed above. A charge q {\displaystyle q} with mass m {\displaystyle m} in a uniform magnetic field B {\displaystyle \mathbf {B} } is an example of a one-dimensional quantum harmonic oscillator: Landau quantization .