Answered: energy spectrum continuous or discrete? | bartleby

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A particle in one dimension (-∞ < x < ∞) is
subjected to a constant force derivable from
V = λx (> 0).
a. Is the energy spectrum continuous or discrete?
Write down an approximate expression for the
energy eigenfunction specified by E. Also sketch it
crudely.
b. Discuss briefly what changes are needed if Vis
replaced by
V = λ | x |.

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