(i) State the boundary conditions that must be satisfied. (1) (ii) Draw rough sketches of three different boxes to illustrate the relationship between the energy separation and the increasing or changing length of the box.

(i) State the boundary conditions that must be satisfied. (1) (ii) Draw rough sketches of three different boxes to illustrate the relationship between the energy separation and the increasing or changing length of the box.

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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Question

(a) Consider the translational motion of a particle in a one-dimensional box of mass m, that is free
to move between x = 0 and x = L:
(i) State the boundary conditions that must be satisfied.
(1)
(ii) Draw rough sketches of three different boxes to illustrate the relationship between the
energy separation and the increasing or changing length of the box.
(3)

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