Point particle

Examples of point particles: Point mass for Newton's law of universal gravitation; Point particles to measure distance between two charged particles; Ideal gas particles do not interact (no collisions, no gravity force between them, no Coulomb's force); Simple pendulum (point mass attached to the end of the string with no mass).

A point particle, ideal particle[1] or point-like particle (often spelled pointlike particle) is an idealization of particles heavily used in physics. Its defining feature is that it lacks spatial extension; being dimensionless, it does not take up space.[2] A point particle is an appropriate representation of any object whenever its size, shape, and structure are irrelevant in a given context. For example, from far enough away, any finite-size object will look and behave as a point-like object. Point masses and point charges, discussed below, are two common cases. When a point particle has an additive property, such as mass or charge, it is often represented mathematically by a Dirac delta function.

In quantum mechanics, the concept of a point particle is complicated by the Heisenberg uncertainty principle, because even an elementary particle, with no internal structure, occupies a nonzero volume. For example, the atomic orbit of an electron in the hydrogen atom occupies a volume of ~10−30 m3. There is nevertheless a distinction between elementary particles such as electrons or quarks, which have no known internal structure, versus composite particles such as protons, which do have internal structure: A proton is made of three quarks. Elementary particles are sometimes called "point particles" in reference to their lack of internal structure, but this is in a different sense than discussed above.

  1. ^ Ohanian, H. C.; Markert, J. T. (2007). Physics for Engineers and Scientists. Vol. 1 (3rd ed.). Norton. p. 3. ISBN 978-0-393-93003-0.
  2. ^ Udwadia, F. E.; Kalaba, R. E. (2007). Analytical Dynamics: A New Approach. Cambridge University Press. p. 1. ISBN 978-0-521-04833-0.

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