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Principles of Quantum Mechanics by Dr Singh Tyagi

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Chapter 13

Addition of Angular Momenta

13.1  INTRODUCTION

In Chapters 9 and 11, we studied about the eigenvalues and eigenstates of orbital angular momentum operator of an electron in the symmetric (Coulomb) field. In Chapter 12, we studied similar quantities of the spin angular momentum operator and components. In fact, in addition to the knowledge of separate orbital and spin angular momenta, we need to know about the total (orbital + spin) angular momentum of an electron or even about total angular momentum of two or more electrons in the atom.

In this chapter, we proceed to study the eigenvalues and eigenstates of the total angular momentum of many particle system. Also we shall study the relation between the angular momentum of the total ...

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