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18) Show that the following wave function y (3cos20 -1) is an eigen-function of the operator P-h2 (d2/d02 + cot 0 d/de ). Wha

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у слави (до . (3rgo-) The eigen value operator, Pz. hh ( d don t eato do) 6, pp. - h (dom t eat o dab) (3 60570-1). the pito2+6h 2 coso - sinrola. d-coso 7 - sinrol +66 (s.co * o - (cms *+ si, o)] ab hi [34°0-] =6474 So we get, P4 = 6h 4, so the eigd (erse) = - eint. 2 (3²) = 3.2.4.=64 (cino) = roso coto a cosa sino sino + cosno=1 (const)= 0 [const= 1, 2, 3 .]

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