P13.34 Show that the following pairs of wave functions are orthogonal over the indicated range. and x(x² - 1)e-ax², -∞0 ≤ x <∞o where a is a constant that is greater than zero b. (6r/aor²/a)e-r/3ao and (r/ao)e-r/2ao cos over the 0 interval 0 ≤r<∞0,0 ≤ 0 ≤ π,0 ≤ ≤ 2T
P13.34 Show that the following pairs of wave functions are orthogonal over the indicated range. and x(x² - 1)e-ax², -∞0 ≤ x <∞o where a is a constant that is greater than zero b. (6r/aor²/a)e-r/3ao and (r/ao)e-r/2ao cos over the 0 interval 0 ≤r<∞0,0 ≤ 0 ≤ π,0 ≤ ≤ 2T
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Transcribed Image Text:P13.34 Show that the following pairs of wave functions are
orthogonal over the indicated range.
a. e ax² and x(x² - 1)e-αx², -∞0 ≤ x <∞ where a is a
constant that is greater than zero
b. (6r/ao - r²/az)e-r/3ao and (r/ao)er/ao cos
interval 0 ≤r <∞0,0 ≤ 0 ≤ π,0 ≤ ≤ 2T
over the
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