[[Image(pcpbt_figure.jpg, 500px)]]

By completing the PCPBT Lab in [[Resource(5065)]], you will be able to:

a) understand the concept of quantum-mechanical transmissions and reflections,

b) understand double-barrier structure and the concept of quasi-bound states, and

c) understand the formation of energy bands due to the interation between the wells in a multi-well structure.


The specific objectives of the PCPBT Lab are:

[[Image(pcpbt_viewer.jpg, 400px)]]
 


== Recommended Reading ==

If you have not had experience with analysis of open quantum systems, the concepts of transmission and reflection coefficient (needed for the calculation of the current in a quantum-mechanical system), the concept of resonant or quasi-bound states and operation of resonant tunneling diode, and the formation of energy bands in multiple-well structures, here is a list of resources that will help you have the required knowledge to get the most of these issues resolved: 

1. D. K. Ferry, Quantum Mechanics: An Introduction for Device Physicists and Electrical Engineers, Second Edition (Institute of Physics Publishing, 2001).

2. Dragica Vasileska, Stephen M. Goodnick and G. Klimeck: Computational Electronics: Semiclassical and Quantum Device Modeling and Simulation, Chapter 2 (CRC Press, 2010).



== Demo ==

[[Resource(6788)]]



== Theoretical descriptions ==

* [[Resource(9117)]] 

* [[Resource(9203)]] 



== Tool Verification ==

[[Resource(7201)]]

[[Resource(6836)]]



== Worked Examples ==

1.  [[Resource(7201)]]



== Exercises and Homework Assignments ==

1.  [[Resource(4831)]]

2.  [[Resource(4833)]]

3.  [[Resource(4849)]]

4.  [[Resource(4853)]]

5.  [[Resource(4873)]]

6.  [[Resource(5102)]]

7.  [[Resource(5130)]]

8.  [[Resource(5319)]]

9.  [[Resource(6836)]]

10. [[Resource(7022)]]



== Solutions to Exercises ==

Solutions to exercises will be provided to Instructors ONLY!



== Take a Test ==

This test will assess your conceptual understanding of the physical, mathematical and computational knowledge related to transmission coefficients calculation, resonant tunneling and formation of bandstructure in crystals.

[[Resource(9460)]]



== Solve the Challenge ==

In this final challenge you will integrate all what you have learned about tunneling through piece-wise constant potential barriers such as the double barrier structure in resonant tunneling diodes.

[[Resource(9231)]]