Bound States Lab Learning Materials
 Version 3
 by (unknown)
 Version 4
 by (unknown)
Deletions or items before changed
Additions or items after changed
1  by Dragica Vasileska and Gerhard Klimeck  

2  
3  
4    [[Image(Untitled.jpg)]] 
+  [[Image(Untitled.jpg)]]

5  +  
6  +  By completing the Bound States Calculation Lab in [[Resource(bsclab)]], users will be able to: a) understand the concept of bound states, b) the meaning of the eigenvalues and the eigenvectors, and c) the form of the eigenvalues and eigenvectors for rectangular, parabolic and triangular confinement.


7  +  
8  +  
9  +  The specific objectives of the Bound States Calculation Lab are:


10  +  
11  +  [[Image(models.jpg, 400px)]]


12  +  
13  +  
14  +  
15  +  == Recommended Reading ==


16  +  
17  +  Users who are new to the concept of bound states and solution of the Schrodinger equation for bound states should consult the following resources:


18  +  
19  +  1. D. K. Ferry:


20  +  
21  +  2. S. Datta


22  +  
23  +  
24  +  == Demo ==


25  +  
26  +  [[Resource(6901)]]


27  +  
28  +  [[Resource(6842)]]


29  +  
30  +  == Theoretical descriptions ==


31  +  
32  +  * [[Resource(7224)]] (tutorial)


33  +  
34  +  * [[Resource(9094)]] (physical, analytical model)


35  +  
36  +  * [[Resource(8797)]] (simulation)


37  +  
38  +  * [[Resource(9098)]] (computational model)


39  +  
40  +  * [[Resource(9092)]] (implementation details and source code


41  +  dissemination)


42  +  
43  +  
44  +  
45  +  == Tool Verification ==


46  +  
47  +  Verification of the PNJunction tool is done by comparison of the


48  +  simulation results for the electric field in equilibrium with the depletion


49  +  charge approximation results. This verification process can be done only


50  +  while running the tool, as it superimposes the depletion charge


51  +  approximation results.


52  +  
53  +  [[Resource(9138)]]


54  +  
55  +  
56  +  
57  +  == Examples ==


58  +  
59  +  The following [[Resource(9096)]] are described in detail:


60  +  
61  +  Example 1: Equilibrium PNJunction


62  +  
63  +  Example 2: PNJunction Under Bias


64  +  
65  +  Example 3: NonSymmetric Junction


66  +  
67  +  Example 4: Series Resistance


68  +  
69  +  
70  +  
71  +  == Exercises and Homework Assignments ==


72  +  
73  +  1. [[Resource(5177)]]


74  +  
75  +  2. [[Resource(893)]]


76  +  
77  +  3. [[Resource(6979)]]


78  +  
79  +  4. [[Resource(4894)]]


80  +  
81  +  5. [[Resource(4896)]]


82  +  
83  +  6. [[Resource(4898)]]


84  +  
85  +  7. [[Resource(5179)]]


86  +  
87  +  8. [[Resource(5183)]]


88  +  
89  +  
90  +  
91  +  == Solutions to Exercises ==


92  +  
93  +  Solutions are provided only to instructors!


94  +  
95  +  
96  +  
97  +  == Evaluation ==


98  +  
99  +  This test will assess the users conceptual understanding of the physical,


100  +  mathematical and computational knowledge related to the operation and


101  +  modeling of PN Junctions.


102  +  
103  +  [[Resource(9462)]]


104  +  
105  +  
106  +  
107  +  == Challenge ==


108  +  
109  +  Users are challenged to integrate what they have learned about PN


110  +  Junctions.


111  +  
112  +  [[Resource(9140)]] 