A one-particle, one-dimensional system has the potential energy function V = V₁ for 0 ≤ x ≤ 1 and V = ∞ elsewhere (where Vo is a constant). a) Use the variation function = sin() for 0 ≤ x ≤ 1 p and = 0 elsewhere to estimate the ground-state energy of this system. b) Calculate the % relative error.
A one-particle, one-dimensional system has the potential energy function V = V₁ for 0 ≤ x ≤ 1 and V = ∞ elsewhere (where Vo is a constant). a) Use the variation function = sin() for 0 ≤ x ≤ 1 p and = 0 elsewhere to estimate the ground-state energy of this system. b) Calculate the % relative error.
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Transcribed Image Text:one-dimensional
A one-particle,
system has the
potential energy function V = V₁ for 0 ≤ x ≤ 1 and V =
∞ elsewhere (where Vo is a constant).
a) Use the variation function = sin() for 0 ≤ x ≤ 1
and = 0 elsewhere to estimate the ground-state
energy of this system.
b) Calculate the % relative error.
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