EXERCISE A one-particle, one-dimensional system has the potential energy function V = Vo for () ≤ x ≤ / and V = ∞ elsewhere (where Vo is a constant). (a) Use the variation function = sin(x/1) for 0 ≤ x ≤ 1 and = 0 elsewhere to estimate the ground-state energy of this system. (b) Explain why the result of (a) is the exact ground- state energy.. (Answer: (a) Vo+h²/8ml².)

EXERCISE A one-particle, one-dimensional system has the potential energy function V = Vo for () ≤ x ≤ / and V = ∞ elsewhere (where Vo is a constant). (a) Use the variation function = sin(x/1) for 0 ≤ x ≤ 1 and = 0 elsewhere to estimate the ground-state energy of this system. (b) Explain why the result of (a) is the exact ground- state energy.. (Answer: (a) Vo+h²/8ml².)

General Chemistry - Standalone book (MindTap Course List)

11th Edition

ISBN:9781305580343

Author:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell

Publisher:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell

Chapter7: Quantum Theory Of The Atom

Section7.2: Quantum Effects And Photons

Problem 7.3E: The following are representative wavelengths in the infrared, ultraviolet, and x-ray regions of the...

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