Slide22 - Observables Operators Eigenfunetions and...

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Unformatted text preview: Observables, Operators, Eigenfunetions and Eigenvalues Some OperatorAlg ebra An operator is said to be linear if it satisfies: 2U(x)+g(x)]=fif(x)+2g(x) fi[0f(x)]=cfif(x) ExainplesiThe differential operator, d/dx, is linear. The square root operator, \l, is nonlinear. If the following relationship holds: Iu*(:4v)dx =I(1:lu)*vdx ‘Ne say that. the operator is Hennitian. We will revisit this propelty later in the chapter ...
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