A canonical oscillator is any system with two extremal states and a source of power that causes it to transition between states in a sinusoidal manner.
In biology oscillators are common, such as the
The theory of the canonical oscillator was devised to explain the profit cycle in
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Quantum harmonic oscillator — The quantum harmonic oscillator is the quantum mechanical analogue of the classical harmonic oscillator. It is one of the most important model systems in quantum mechanics because an arbitrary potential can be approximated as a harmonic potential … Wikipedia
Linear canonical transformation — Paraxial optical systems implemented entirely with thin lenses and propagation through free space and/or graded index (GRIN) media, are Quadratic Phase Systems (QPS). The effect of any arbitrary QPS on an input wavefield can be described using… … Wikipedia
Matrix mechanics — Quantum mechanics Uncertainty principle … Wikipedia
Coherent states — In quantum mechanics a coherent state is a specific kind of quantum state of the quantum harmonic oscillator whose dynamics most closely resembles the oscillating behaviour of a classical harmonic oscillator. It was the first example of quantum… … Wikipedia
Clock — For other uses, see Clock (disambiguation). Timepiece redirects here. For the Kenny Rogers album, see Timepiece (album). Platform clock at King s Cross railway station, London … Wikipedia
Equipartition theorem — [ Thermal motion of an α helical peptide. The jittery motion is random and complex, and the energy of any particular atom can fluctuate wildly. Nevertheless, the equipartition theorem allows the average kinetic energy of each atom to be computed … Wikipedia
Schrödinger field — In quantum mechanics and quantum field theory, a Schrödinger field is a quantum field which obeys the Schrödinger equation. While any situation described by a Schrödinger field can also be described by a many body Schrödinger equation for… … Wikipedia
Correspondence principle — This article discusses quantum theory and relativity. For other uses, see Correspondence principle (disambiguation). In physics, the correspondence principle states that the behavior of systems described by the theory of quantum mechanics (or by… … Wikipedia
Hamilton's principal function — The Hamilton s principal function is defined by the Hamilton–Jacobi equation (HJE), another alternative formulation of classical mechanics. This function S is related to the usual action, mathcal{S}, by fixing the initial time t {1} and endpoint… … Wikipedia
Einstein solid — The Einstein solid is a model of a solid based on three assumptions: * Each atom in the lattice is a 3D quantum harmonic oscillator * Atoms do not interact with each other * All atoms vibrate with the same frequency (contrast with the Debye… … Wikipedia
