For a particle in one-dimensional box of length a, y, = ax(a – x) and yw2 = x(a – x)(a + x) can each be also as an approximate solutions. (i) How large is then the underestimation in ground state energy (in %) using these 1/2 Wi or w2 as compared to the exact solution using y = (2/a)"²sin(nax/a). (ii) Which of them (w, or w2) give a closer estimation of the energy? %3D

For a particle in one-dimensional box of length a, y, = ax(a – x) and yw2 = x(a – x)(a + x) can each be also as an approximate solutions. (i) How large is then the underestimation in ground state energy (in %) using these 1/2 Wi or w2 as compared to the exact solution using y = (2/a)"²sin(nax/a). (ii) Which of them (w, or w2) give a closer estimation of the energy? %3D

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter10: Introduction To Quantum Mechanics

Section: Chapter Questions

Problem 10.26E: For a particle in a state having the wavefunction =2asinxa in the range x=0toa, what is the...

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