Free Particle Wave Equation The Schrodinger equation for a free particle (no 2 d

Question

Free Particle Wave Equation The Schrodinger equation for a free particle (no 2 de potential energy) is Part B Express the energy of the particle Ein terms of the wavenumber of the particle k. Express your answer in terms of wave number kl mass m, and Planck's constant divided by 2 m: h. 2m Submit My Answers Give Up Incorrect; Try Again; 4 attempts remaining Part C To normalize this wave function, you must calculate the integra f lbl z. What is the value of this integral? O A2+ B2 O 2AB 2AB+ B O 0 Submit My Answers Give Up Provide Feedback Continue

Explanation / Answer

Part (B)

Express the energy of the particle in terms of the wave number of the particle.

Express your answer in terms of wave number , mass , and Planck's constant divided by : .

Answer is E = k2h2 / 2m

Part (C)

- 2 dx =

Because this integral does not converge, a free particle wave function is unnormalizable. This is due to the fact that a free p article wave function has no boundaries and thus is unlocalized. This means that there is the same probability of finding a particle anywhere in the universe.

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