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True or False: a.) Probability density can never be negative. b.) The state f(x), a wave...

True or False:

a.) Probability density can never be negative.

b.) The state f(x), a wave function can never be real (f(x)).

c.)The state f(x), a wave function must be real number.

d.) If z=z*, then z must be a real number.

e.) integral from neg infinity to infinity of the wave function equals 1 for a real particle in a 1d system.

f.) The product of a number and its complex conjugate is always a real number.

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Answer #1

(a) True, its an intuitive fact also. Probability density cant be negative. It can vary from zero to 1 only.

(b) False

(C) False, the wave function can either be real or complex.

(d) True, if the complex part is equal after conjugation, then complex part hs to be zero ofcourse.

(e) True, the particle is bound to be found between the infinities. So integral will be 1.

(f) False. It can either be real or complex.

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