Bound States Lab Learning Materials
- Version 4
- by Dragica Vasileska
- Version 11
- by Dragica Vasileska
Deletions or items before changed
Additions or items after changed
| 1 | - | + | By completing the [[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.
|
|
|---|---|---|---|---|
| 2 | - | + | ||
| 3 | - | + | ||
| 4 | - | + | ||
| 5 | - | + | ||
| 6 | - | By completing the |
+ | |
| 7 | ||||
| 8 | ||||
| 9 | The specific objectives of the Bound States Calculation Lab are: | |||
| 10 | ||||
| 11 | [[Image(models.jpg, 400px)]] | |||
| 12 | + | |||
| 13 | ||||
| 14 | ||||
| 15 | ||||
| 16 | == Recommended Reading == | |||
| 17 | ||||
| 18 | - | Users who are new to the concept of bound states and solution of the Schrodinger equation for bound states should consult the following |
+ | Users who are new to the concept of bound states and solution of the Schrodinger equation for bound states should consult the following resource:
|
| 19 | ||||
| 20 | - | 1. D. K. Ferry:
|
+ | 1. D. K. Ferry, Quantum Mechanics: An Introduction for Device Physicists and Electrical Engineers, Taylor & Francis.
|
| 21 | ||||
| 22 | - | 2. S. Datta
|
||
| 23 | ||||
| 24 | ||||
| 25 | - | == Demo ==
|
||
| 26 | - | |||
| 27 | - | [[Resource(6901)]]
|
||
| 28 | - | |||
| 29 | - | [[Resource(6842)]]
|
||
| 30 | ||||
| 31 | == Theoretical descriptions == | |||
| 32 | ||||
| 33 | - | * [[Resource( |
+ | * [[Resource(4876)]] (tutorial)
|
| 34 | ||||
| 35 | - | * [[Resource( |
+ | * [[Resource(9206)]] (source code
|
| 36 | - | + | ||
| 37 | - | + | ||
| 38 | - | + | ||
| 39 | - | + | ||
| 40 | - | + | ||
| 41 | - | + | ||
| 42 | dissemination) | |||
| 43 | ||||
| 44 | - | |||
| 45 | - | |||
| 46 | - | == Tool Verification ==
|
||
| 47 | - | |||
| 48 | - | Verification of the PN-Junction tool is done by comparison of the
|
||
| 49 | - | simulation results for the electric field in equilibrium with the depletion
|
||
| 50 | - | charge approximation results. This verification process can be done only
|
||
| 51 | - | while running the tool, as it superimposes the depletion charge
|
||
| 52 | - | approximation results.
|
||
| 53 | - | |||
| 54 | - | [[Resource(9138)]]
|
||
| 55 | - | |||
| 56 | - | |||
| 57 | - | |||
| 58 | - | == Examples ==
|
||
| 59 | - | |||
| 60 | - | The following [[Resource(9096)]] are described in detail:
|
||
| 61 | - | |||
| 62 | - | Example 1: Equilibrium PN-Junction
|
||
| 63 | - | |||
| 64 | - | Example 2: PN-Junction Under Bias
|
||
| 65 | - | |||
| 66 | - | Example 3: Non-Symmetric Junction
|
||
| 67 | - | |||
| 68 | - | Example 4: Series Resistance
|
||
| 69 | ||||
| 70 | ||||
| 71 | ||||
| 72 | == Exercises and Homework Assignments == | |||
| 73 | ||||
| 74 | - | 1. [[Resource( |
+ | 1. [[Resource(4884)]]
|
| 75 | - | + | ||
| 76 | - | + | ||
| 77 | - | + | ||
| 78 | - | + | ||
| 79 | - | + | ||
| 80 | - | + | ||
| 81 | - | + | ||
| 82 | - | + | ||
| 83 | - | + | ||
| 84 | - | + | ||
| 85 | ||||
| 86 | - | + | 2. [[Resource(9191)]]
|
|
| 87 | ||||
| 88 | - | + | 3. [[Resource(9364)]]
|
|
| 89 | ||||
| 90 | ||||
| 91 | ||||
| 92 | == Solutions to Exercises == | |||
| 93 | ||||
| 94 | Solutions are provided only to instructors! | |||
| 95 | ||||
| 96 | ||||
| 97 | ||||
| 98 | == Evaluation == | |||
| 99 | ||||
| 100 | This test will assess the users conceptual understanding of the physical, | |||
| 101 | - | mathematical and computational knowledge related to |
+ | mathematical and computational knowledge related to quantum bound states in different confining potentials that occur in real device structures.
|
| 102 | - | + | ||
| 103 | ||||
| 104 | - | [[Resource( |
+ | [[Resource(11615)]]
|
| 105 | ||||
| 106 | ||||
| 107 | ||||
| 108 | == Challenge == | |||
| 109 | ||||
| 110 | - | Users are challenged to integrate what they have learned about |
+ | Users are challenged to integrate what they have learned about Quantum Bound States.
|
| 111 | - | + | ||
| 112 | ||||
| 113 | - | [[Resource( |
+ | [[Resource(11617)]] |