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You will answer this question by dragging and dropping elements from the list below into boxes. The elements below are colour-coded: you can only drop an element into a box with a matching colour. Please note that you may need to leave some of the boxes blank. Do not include any items that are equal to zero. The following wavefunction is a solution for the time-independent Schrödinger equation for a particle inside a one-dimensional finite potential energy barrier: y=A exp (-ax). (a) The particle has total energy E

You will answer this question by dragging and dropping elements from the list below into boxes. The elements below are colour-coded: you can only drop an element into a box with a matching colour. Please note that you may need to leave some of the boxes blank. Do not include any items that are equal to zero. The following wavefunction is a solution for the time-independent Schrödinger equation for a particle inside a one-dimensional finite potential energy barrier: y=A exp (-ax). (a) The particle has total energy E

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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You will answer this question by dragging and dropping elements from the list below into boxes. The elements below are colour-coded: you can only drop an element into a box with a matching colour. Please note that you may need to leave some of the boxes blank. Do not include any items that are equal to zero. The following wavefunction is a solution for the time-independent Schrödinger equation for a particle inside a one-dimensional finite potential energy barrier: y=A exp (-ax). (a) The particle has total energy E<W, with W its potential energy inside the barrier. Taking this into account, complete the Schrödinger equation below for the system under consideration: d²w 2m dx-2 + たこ W = 0. (b) In order to show that the wavefunction is indeed a solution of the Schrödinger equation above, differentiate it twice with respect to the coordinate x and complete the equation below: dx (c) Finally, introduce the above result into the Schrödinger equation and determine the expression for a that is consistent with y being one of its solutions. Write this expression using the boxes below: + α E W x sin COS sin2 cos² exp Y 2m h h2 A A² α d
Transcribed Image Text:You will answer this question by dragging and dropping elements from the list below into boxes. The elements below are colour-coded: you can only drop an element into a box with a matching colour. Please note that you may need to leave some of the boxes blank. Do not include any items that are equal to zero. The following wavefunction is a solution for the time-independent Schrödinger equation for a particle inside a one-dimensional finite potential energy barrier: y=A exp (-ax). (a) The particle has total energy E<W, with W its potential energy inside the barrier. Taking this into account, complete the Schrödinger equation below for the system under consideration: d²w 2m dx-2 + たこ W = 0. (b) In order to show that the wavefunction is indeed a solution of the Schrödinger equation above, differentiate it twice with respect to the coordinate x and complete the equation below: dx (c) Finally, introduce the above result into the Schrödinger equation and determine the expression for a that is consistent with y being one of its solutions. Write this expression using the boxes below: + α E W x sin COS sin2 cos² exp Y 2m h h2 A A² α d
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