PHY3PQM - Developing Simulations for Real World Quantum Devices - Engineering Assignment Help

Assignment Task

Throughout the PQM lectures, it has been mentioned how complex real-world systems are often investigated using simplified mathematical models which approximate the real system. The need to do so arises from the difficulty in generating analytical solutions for complex systems, so while simple models may not give quantitative results, they can help us in understanding the qualitative behaviour of a system of interest.

The “particle in a box” problem is a common feature of introductory quantum mechanics courses, and is often used as a starting point for understanding a range of complex quantum phenomena. It is possible to form semiconductor heterojunctions in which electrons act as though they are confined in a similar manner to a particle in a box; these semiconductor heterojunction systems are an active area of research, and find use in a wide range of applications. In this computational assignment, you will use MATLAB to explore a single quantum well system with three levels of complexity, building towards a real-world system.

Part 1-Infinite Potential Well

The infinite potential well is the simplest version of this system, and has analytical solutions which you will have seen during your course. An electron in the nth state of such a well has energy eigenvalues given by the equation: where W is the width of the well. For a well which is defined to be symmetric about the origin, the eigenfunctions associated with the well are:

• Calculate the first five energy levels (n from 1 to 5) of an electron confined to a quantum well for well widths of 2 nm, 4 nm and 6 nm. Plot the results of these calculations on the same set of axes to enable direct comparison. You should ensure that the x axis of your plot is n, the quantum number for the state, and that the y axis presents the energy eigenvalues in terms of electron volts. What effect does changing the well width have on the energy eigenvalues?
• Plot the first three eigenstates on the same set of axes for a well with width 4 nm, showing where the boundary is. You should offset each eigenstate vertically for ease of viewing.
• Plot the probability density for the first three eigenstates of a 4 nm infinite potential well, showing where the boundary is. You should offset each eigenstate vertically for ease of viewing

This (PHY3PQM) Engineering Assignment has been solved by our Engineering experts at My Uni Paper. Our Assignment Writing Experts are efficient to provide a fresh solution to this question. We are serving more than 10000+ Students in Australia, UK & US by helping them to score HD in their academics. Our Experts are well trained to follow all marking rubrics & referencing style.
Be it a used or new solution, the quality of the work submitted by our assignment experts remains unhampered. You may continue to expect the same or even better quality with the used and new assignment solution files respectively. There’s one thing to be noticed that you could choose one between the two and acquire an HD either way. You could choose a new assignment solution file to get yourself an exclusive, plagiarism (with free Turnitin file), expert quality assignment or order an old solution file that was considered worthy of the highest distinction.