Could you please give me formula for getting answer as well as the answers, plea

Question

Could you please give me formula for getting answer as well as the answers, please? Thank you!!! (For the case that the numbers might change)
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Consider an electron in an infinite 1-D square well of width, L = 3 nm (U = 0 at the bottom).

a) What are the energies, E1 and E2, of the two lowest eigenstates?

E1 =____eV

E2 =____eV

b) What are the oscillation frequencies, f1 and f2, of the two wave functions, ?1(x,t) and ?2(x,t)?

f?1 =____ Hz


f?2 =____ Hz

d) Suppose the electron is in a superposition of the two eigenstates: ?(x,t) = (?1(x,t) + ?2(x,t))/v2. The probability density will oscillate. At what time, t, will P(x,t) first return to its t = 0 value, P(x,0)?

t = _____ sec

Explanation / Answer

For part a, use En=(h2c2n2)/(8*mc2*L2), which yields E1=.0418 and E2=.1672 For part b, use fn=En/h, to get f1=1.01E13 and f2=4.04E13 For part d, use t=1/f where f=(E2-E1)/h, which gets you 3.3E-14 seconds.

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