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zhaiyujia
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[SOLVED] Hilbert Space
For What Values of [tex]\psi(x)=\frac{1}{x^{\alpha}}[/tex] belong in a Hilbert Sapce?
[tex]\int x^{a}=\frac{1}{a+1} x^{a+1} [/tex]
I tried to use the condition that function in Hilbert space should satisfy:
[tex]\int\psi^{2}=A[/tex] but it seems always infinite exist in x=0 or x=infinite
Homework Statement
For What Values of [tex]\psi(x)=\frac{1}{x^{\alpha}}[/tex] belong in a Hilbert Sapce?
Homework Equations
[tex]\int x^{a}=\frac{1}{a+1} x^{a+1} [/tex]
The Attempt at a Solution
I tried to use the condition that function in Hilbert space should satisfy:
[tex]\int\psi^{2}=A[/tex] but it seems always infinite exist in x=0 or x=infinite
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