Quantum Angular Momentum

Sri Purwaningsih, Febri Berthalita Pujaningsih, Neneng Lestari +1 more

Angular momentum can simply be interpreted as the momentum of an object that rotates or rotates. Angular momentum or angular center intuitively measures how much linear momentum is directed around a certain point or often called the center point. In this paper, an analysis of angular momentum in quantum mechanics has been carried out, as well as a study of the expansion of the application of angular momentum in quantum mechanics in the form of the Clebsch–Gordan coefficient.

Christian G. Parigger, James O Hornkohl

Will Raven

Abstract In this chapter, we explore angular momentum, a key concept in quantum mechanics and atomic physics. We cover the quantization of angular momentum, the role of quantum numbers, and their impact on atomic states. We will learn about the different types of angular momentum, the states representing these types of angular momentum, and how angular momenta are added together in quantum mechanics. The chapter also examines the compatibility of different observables, such as the magnitude and components of angular momentum, and the impact of measurements on quantum states.

Gennaro Auletta, Shang-Yung Wang

In this chapter we shall treat two of the most important observables of quantum mechanical systems: angular momentum and spin. We shall argue that angular momentum is the generator of rotations. In quantummechanics, angular momentum is quantized in units of the reduced Planck constant. The quantization of angular momentum is dealt with by finding the angular momentum eigenvalues and eigenstates. We shall then apply the theory of angular momentum to study the hydrogen atom. Spin is an intrinsic angular momentum of subatomic particles and therefore corresponds to an important intrinsic degree of freedom. We shall discuss briefly how spin was discovered and many of its important properties. Finally, we shall also explore here some further subtleties of quantum theory.a When we consider quantum systems in two or three spatial dimensions, we need to take into account also the effect of rotations. In this case, we need to introduce a physical quantity called the angular momentum, that is, themomentum induced by or connected with rotations. In classical physics the angular momentum of a particle about a given origin is defined by [see Fig. 8.1]