Eigenvalue Problem
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7. The Eigenvalue Problem, December 17, 2009 1 Chapter 7. The Eigenvalue Problem Section 7.1. The general case § 1 Introduction. The eigenvalue equation of an operator Ô is Ô|x = λ|x (1) where λ is an unknown number and |x is an unknown ket. This equation has many solutions |xα , which are called eigenstates, or eigenkets, or eigenvectors of Ô. For each solution |xα , there is a number λα , called the eigenvalue corresponding to the eigenket |xα . I remind you that if  represents…
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