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AQME assembles a set of nanoHUB tools that we believe are of immediate interest for the teaching of quantum mechanics class for both Engineers and Physicists. Users no longer have to search the nanoHUB to find the appropriate applications for this particular purpose. This curated page provides a “on-stop-shop” access to associated materials such as homework or project assignments.
Quantum Mechanics: The story of the electron spin
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09 Jul 2008 | | Contributor(s):: Dragica Vasileska, Gerhard Klimeck
One of the most remarkable discoveries associated with quantum physics is the fact that elementary particles can possess non-zero spin. Elementary particles are particles that cannot be divided into any smaller units, such as the photon, the electron, and the various quarks. Theoretical and...
Slides on Introductory Concepts in Quantum Mechanics
07 Jul 2008 | | Contributor(s):: Dragica Vasileska, David K. Ferry, Gerhard Klimeck
particle wave duality, quantization of energy
Quantum Mechanics: Landauer's Formula
08 Jul 2008 | | Contributor(s):: Dragica Vasileska, Gerhard Klimeck
When a metallic nanojunction between two macroscopic electrodes is connected to a battery, electrical current flows across it. The battery provides, and maintains, the charge imbalance between the electrode surfaces needed to sustain steady-state conduction in the junction. This static...
Quantum Mechanics: Periodic Potentials and Kronig-Penney Model
The Kronig-Penney model is a simple approximation of a solid. The potential consists of a periodic arrangement of delta functions, square well or Coulomb well potentials. By means of epitaxial growth techniques artificial semiconductor superlattices can be realized, which behave very similar to...
Slides: Kronig-Penney Model Explained
Slides: Buttiker formula derivation
08 Jul 2008 | | Contributor(s):: Dragica Vasileska
Slides: Landauer's formula derivation
Slides: Diffusive vs. ballistic transport
Reading Material: Landauer's formula
Quantum Mechanics: Tunneling
In quantum mechanics, quantum tunnelling is a micro nanoscopic phenomenon in which a particle violates the principles of classical mechanics by penetrating a potential barrier or impedance higher than the kinetic energy of the particle. A barrier, in terms of quantum tunnelling, may be a form of...
Reading Material: Tunneling
Quantum Mechanics: Time Independent Schrodinger Wave Equation
07 Jul 2008 | | Contributor(s):: Dragica Vasileska, Gerhard Klimeck
In physics, especially quantum mechanics, the Schrödinger equation is an equation that describes how the quantum state of a physical system changes in time. It is as central to quantum mechanics as Newton's laws are to classical mechanics.In the standard interpretation of quantum mechanics, the...
Energy Bands as a Function of the Geometry of the n-Well Potential: an Exercise
05 Jul 2008 | | Contributor(s):: Dragica Vasileska, Gerhard Klimeck
Explores the position and the width of the bands as a function of the 10-barrier potential parameters.NSF
Bound States Calculation Description
05 Jul 2008 | | Contributor(s):: Dragica Vasileska
These lectures describe the calculation of the bound states in an infinite potential well, finite potential well and triangular well approximation. At the end, shooting method, that is used to numerically solve the 1D Schrodinger equation, is briefly described.visit www.eas.asu.edu/~vasileskNSF
Harmonic Oscillator Problem
These materials describe the solution of the 1D Schrodinger equation for harmonic potential using the brute-force and the operator approach.visit www.eas.asu.edu/~vasileskNSF
Bound States Calculation: an Exercise
06 Jul 2008 | | Contributor(s):: Dragica Vasileska, Gerhard Klimeck
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...
Exercise: Brute-force approach applied to harmonic oscillator problem and Coulomb potential in 1D
These exercises teach the students the brute-force approach for calculating bound states in harmonic and Coulomb potential.Dragica Vasileska lecture notes on Quantum Mechanics (www.eas.asu.edu/~vasilesk)NSF
Exercise: Operator Approach to Harmonic Oscillator Problem
This exercise teaches the students the operator approach to solving the harmonic oscillator problem.Dragica Vasileska web site: www.eas.asu.edu/~vasileskNSF
Schred: Exercise 1
This exercise illustrates basic SCHRED capabilities for modeling MOS capacitors and also illustrates how the bound states distribution in energy changes with doping. The average distance of the carriers calculated semi-classically and quantum-mechanically is also examined since it is important...
Towards Quantum Mechanics
07 Jul 2008 | | Contributor(s):: Dragica Vasileska
This tutorial gives an overview of the development of science and how quantum-mechanics is starting to get into our every day life. These slides have been adopted from Motti Heiblum original presentation.Motti Heiblumwww.eas.asu.edu/~vasileskNSF