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Intro to Quantum Mechanics (Free particle) a). Write the relations between the wave vector and angular...

Intro to Quantum Mechanics (Free particle)


a). Write the relations between the wave vector and angular frequency of a free particle and its momentum vector and energy.


b) What is the general form in one dimension of the wave function for a free particle of mass m and momentum p?
c) Can this wave function ever be entirely real? If so, show how this is possible. If not, explain why not.
d) What can you say about the integral of the |Ψ (x; t)|2 from - ∞ to + ∞ ?


e) Is this a possible wave function for a real, physical particle? Why or why not?
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