"Bound State" 14 posts Sort by created date Sort by defined ordering View as a grid View as a list
this is the MATLAB code of the PCPBT in the effective mass approximation.
0 likes 2 reposts
Kaushal Patel onto Bound State @ 11:23 am on 12 Sep 2016
Hartree Fock (HF) theory is one of the basic theories underlying the current understanding of the electronic structure of materials. It is a simple non-relativistic treatment of many electron system that accounts for the antisymmetric (fermion) nature of electronic wavefunction but does not account for correlation effects. The matrix representation of this theory constitutes the Roothan Equations. This simple MATLAB Code uses the Roothan Equations, within Born Oppenheimer approximation and non-relativistic limit, to calculate the energy of H-H (two Hydrogen atoms) system with different bond lengths using Slater Type Orbital with 4 Gaussian basis functions (STO-4G) for each spatial orbital. It can be used as an example for a class on electronic structure theory or as a starting skeleton for developing more complex ab initio codes, that use a similar basis set.
Kaushal Patel onto Bound State @ 4:40 pm on 05 Sep 2016
Schred 2.0 calculates the envelope wavefunctions and the corresponding bound-state energies in a typical MOS (Metal-Oxide-Semiconductor) or SOS (Semiconductor-Oxide- Semiconductor) structure and a typical SOI structure by solving self-consistently the one-dimensional (1D) Poisson equation and the 1D Schrodinger equation.
0 likes 1 reposts
New page.
By completing the Bound States Calculation Lab, 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.
The specific objectives of the Bound States Calculation Lab are:
Recommended Reading
Users who are new to the concept of bound states and solution of the Schrodinger equation for bound states should consult the following resource: 1. D. K. Ferry, Quantum Mechanics: An Introduction for Device Physicists and Electrical Engineers, Taylor & Francis. Theoretical descriptions
* Bound States Calculation Description (tutorial) * Bound States Calculation Lab – Fortran Code (source code dissemination) Exercises and Homework Assignments
1. Bound States Calculation: an Exercise 2. Quantum Bound States Exercise 3. AQME Exercise: Bound States – Theoretical Exercise Solutions to Exercises
Solutions are provided only to instructors! Evaluation
This test will assess the users conceptual understanding of the physical, mathematical and computational knowledge related to quantum bound states in different confining potentials that occur in real device structures. Test for Bound States Calculation Lab Challenge
Users are challenged to integrate what they have learned about Quantum Bound States. Solve a Challenge for the BSC Lab
The problems in this exercise use the Bound States Calculation Lab to calculate bound states in an infinite square well, finite square well and triangular potential. Students also have to compare simulated values with analytical results.
Dragica Vasileska: Lecture notes on Quantum Mechanics (www.eas.asu.edu/~vasilesk) NSF
Kaushal Patel onto Bound State @ 4:20 pm on 05 Sep 2016
bound states, open systems, transfer matrix approach, gate leakage calculation in Schottky gates
Exercise Background Quantum-mechanical systems (structures, devices) can be separated into open systems and closed systems. Open systems are characterized with propagating or current carrying states. Closed (or bound) systems are described with localized wave-functions. One such system is a triangular potential well in MOS capacitors; another one is rectangular quantum well in heterostructure devices. In addition to this, every observable in Quantum Mechanics (like position, momentum, energy) …
This is a Fortran code for BSC Lab.
Calculates bound states for square, parabolic, triangular and V-shaped potential energy profile
0 likes 12 reposts
The objective of this exercise is to teach the students the theory behind bound states in a quantum well.
This write up describes basic concepts of closed systems and bound states calculations. Emphasis is placed on bound states calculation for infinite potential well, finite potential well, triangular well and numerical calculation of the bound states for wells with arbitrary shape (using the so-called shooting method).
Kaushal Patel onto Bound State @ 4:19 pm on 05 Sep 2016
Kaushal Patel onto Bound State @ 4:18 pm on 05 Sep 2016
Square well; Energy levels.
Kaushal Patel onto Bound State @ 4:17 pm on 05 Sep 2016