Angular Momentum in Quantum Mechanics

K. Heyde

V. T. Davis

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.

Gary E. Bowman

Angular momentum is one of the more abstract topics in quantum mechanics. This chapter begins with a review of classical angular momentum. Quantum-mechanical angular momentum is then introduced by obtaining operators from their classical counterparts. The commutation relations amongst those operators and the corresponding uncertainty relations then follow. Eigenstates and eigenvalues of the angular momentum operators are then introduced (but not derived). From these follow the raising and lowering operators. Physical meaning is imparted to quantum angular momentum by considering predictions for sequential measurements, and by comparing the conceptual pictures of angular momentum in classical and quantum mechanics. Finally, quantum spin and orbital angular momenta, and the deep differences between them, are discussed.

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.