A one-particle, one-dimensional system has the potential energy function V = V₁ for 0 ≤ x ≤ 1 and V= o elsewhere (where V, 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.

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter15: Introduction To Electronic Spectroscopy And Structure
Section: Chapter Questions
Problem 15.57E
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A one-particle,
one-dimensional
system has the
potential energy function V = V₁ for 0 ≤ x ≤ 1 and V =
co elsewhere (where V, 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.
Transcribed Image Text:A one-particle, one-dimensional system has the potential energy function V = V₁ for 0 ≤ x ≤ 1 and V = co elsewhere (where V, 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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