\prob{52}
A particle of mass m is confined to an infinitely deep square-well potential:
&=&\infty,\;\;x\leq0,x\geq a \\ V(x)&=&0,\;\;0\lt x \lt a\end{eqnarray})
The normalized eigenfunctions, labeled by the quantum number n, are 
The eigenfunctions satisfy the condition \psi_l(x)dx=\delta_{nl},\delta_{nl}=1$) if  , otherwise  . This is a statement that the eigenfunctions are
- solutions to the Schrodinger equation
- orthonormal
- bounded
- linearly dependent
- symmetric
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Quantum Mechanics }Orthonormality
This is the definition of orthonormality, i.e., something that is both orthogonal (self dot others = 0) and normal (self dot self = 1).
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