In quantum mechanics, the **angular momentum operator** is one of several related operators analogous to classical angular momentum. The angular momentum operator plays a central role in the theory of atomic physics and other quantum problems involving rotational symmetry. In both classical and quantum mechanical systems, angular momentum (together with linear momentum and energy) is one of the three fundamental properties of motion.

There are several angular momentum operators: **total angular momentum** (usually denoted **J**), **orbital angular momentum** (usually denoted **L**), and **spin angular momentum** (**spin** for short, usually denoted **S**). The term "angular momentum operator" can (confusingly) refer to either the total or the orbital angular momentum. Total angular momentum is always conserved, due to Noether's theorem.

Read more about Angular Momentum Operator: Spin, Orbital, and Total Angular Momentum, Orbital Angular Momentum Operator, Quantization, Angular Momentum As The Generator of Rotations, Conservation of Angular Momentum, Angular Momentum Coupling, Orbital Angular Momentum in Spherical Coordinates

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**Angular Momentum Operator**- Orbital Angular Momentum in Spherical Coordinates

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**Angular momentum operators**usually occur when solving a problem with spherical symmetry in spherical coordinates ... The

**angular momentum**in space representation is and When solving to find eigenstates of this

**operator**, we obtain the following where are the spherical harmonics ...

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... It is closely related to the Navier–Stokes equations, because the flow of

**momentum**in a fluid is mathematically similar to the flow of mass or energy ... Newtonian fluid, in which case the Navier–Stokes equation is where M is the

**momentum**of the fluid (per unit volume) at each point (equal to the density multiplied by the velocity v), is viscosity, P is ... the term on the left-hand side describes the change in

**momentum**at a given point the first term on the right describes viscosity, which is really the diffusion of

**momentum**the second ...

... working in Alexandria, Byzantine philosopher John Philoponus developed a concept of

**momentum**in his commentary to Aristotle's Physics ... This should not be read as a statement of the modern law of

**momentum**, since he had no concept of mass as distinct from weight and size, and more importantly he ... correct statement of the law of conservation of

**momentum**was by English mathematician John Wallis in his 1670 work, Mechanica sive De Motu, Tractatus Geometricus "the initial state ...

... In finance,

**momentum**is the empirically observed tendency for rising asset prices to rise further, and falling prices to keep falling ... The existence of

**momentum**is a market anomaly, which finance theory struggles to explain ... Students of financial economics have largely attributed the appearance of

**momentum**to cognitive biases, which belong in the realm of behavioral economics ...