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Consider a particle whose normalized wave function is ๐œ“(๐‘ฅ) = 2๐œŽ√๐œŽ ๐‘ฅ๐‘’ −๐œŽ๐‘ฅ x > 0 = 0 x < 0 (a) For what value of x does ๐‘ƒ(๐‘ฅ) = |๐œ“(๐‘ฅ)| 2 peak? (b) Calculate and

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 Quantum Mechanics Numerical Problem :-  Consider a particle whose normalized wave function is ๐œ“(๐‘ฅ) = 2๐œŽ√๐œŽ ๐‘ฅ๐‘’ −๐œŽ๐‘ฅ  x > 0  = 0 x < 0 (a) For what value of x does ๐‘ƒ(๐‘ฅ) = |๐œ“(๐‘ฅ)| 2 peak?  (b) Calculate <x> and <x2>