Angular momentum - Conservation of angular momentum

In physics the angular momentum of an object with respect to a reference point is a measure for the extent to which, and the direction in which, the object rotates about the reference point. In particular, if the body rotates about an axis, then the angular momentum with respect to a point on the axis is related to the mass of the object, the angular velocity and the distance of the mass to the axis. Without applying torque to the object, with respect to the reference point, the angular momentum is constant. The angular ...

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• Angular momentum - Angular momentum in classical mechanics
• Angular momentum - Definition
• Angular momentum - Conservation of angular momentum
• Angular momentum - Angular momentum in relativistic mechanics
• Angular momentum - Angular momentum in quantum mechanics

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Angular momentum - Definition. The traditional mathematical definition of the angular momentum of a particle about some origin is: where L is the angular momentum of the particle, r is the position of the particle expressed as a displacement vector from the origin, p is the linear momentum of the particle, and is the vector cross product. Because of the cross product, L is a pseudovector perpen ...

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Angular momentum, Angular momentum - Angular momentum in classical mechanics, Angular momentum - Definition, Angular momentum - Conservation of angular momentum, Angular momentum - Angular momentum in relativistic mechanics, Angular momentum - Angular momentum in quantum mechanics

Read more here: » Angular momentum: Encyclopedia II - Angular momentum - Angular momentum in classical mechanics

In modern (late 20th century) theoretical physics, angular momentum is described using a different formalism. Under this formalism, angular momentum is the 2-form Noether charge associated with rotational invariance (As a result, angular momentum isn't conserved for general curved spacetimes, unless it happens to be asymptotically rotationally invariant). For a system of point particles without any intrinsic angular momentum, it ...

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Angular momentum, Angular momentum - Angular momentum in classical mechanics, Angular momentum - Definition, Angular momentum - Conservation of angular momentum, Angular momentum - Angular momentum in relativistic mechanics, Angular momentum - Angular momentum in quantum mechanics

Read more here: » Angular momentum: Encyclopedia II - Angular momentum - Angular momentum in relativistic mechanics

In quantum mechanics, angular momentum is defined like momentum - not as a quantity but as an operator on the wave function: where r and p are the position and momentum operators respectively. In particular, for a single particle with no electric charge and no spin, the angular momentum operator can be written in the position basis as where is the gradient operator. This is a commonly encountered form of the angular momentum operator, though not th ...

See also:

Angular momentum, Angular momentum - Angular momentum in classical mechanics, Angular momentum - Definition, Angular momentum - Conservation of angular momentum, Angular momentum - Angular momentum in relativistic mechanics, Angular momentum - Angular momentum in quantum mechanics

Read more here: » Angular momentum: Encyclopedia II - Angular momentum - Angular momentum in quantum mechanics