Dragica Vasileska Contributions on the nanoHUB AQME
- AQME - Advancing Quantum Mechanics for Engineers
- Quantum Mechanics for Engineers: Course Assignments
- Towards Quantum Mechanics
- Reading Material: What is Quantum Mechanics?
Quantum Mechanics
Lectures
- Reading Material for Introductory Concepts in Quantum Mechanics
- Basics of Quantum Mechanics
- Slides on Introductory Concepts in Quantum Mechanics
- Particle-Wave Duality: an Animation
- Quantum Mechanics for Engineers: Podcasts
Exercises
Quantum Mechanics: Postulates
Lectures
Exercises
Quantum Mechanics: Wavepackets
Lectures
Exercises
Bound states and open systems
Lectures
- Quantum Mechanics: Time Independent Schrodinger Wave Equation
- Reading Material: Time Independent Schrodinger Wave Equation (TISWE)
- Quantum Bound States Described
- Bound States and Open Systems
- Open Systems
- Quantum Mechanics: Tunneling
- Reading Material: Tunneling
- Quantum Mechanics: Landauer's Formula
- Reading Material: Landauer's formula
- Slides: Landauer's formula derivation
- Slides: Buttiker formula derivation
- Slides: Diffusive vs. ballistic transport
- Bound States Calculation Description
Tools and Exercises
- Bound States Calculation Lab
- Bound States Calculation: an Exercise
- * Quantum Bound States Described
- * Quantum Bound States Exercise
- * Bound States Calculation Lab - Fortran Code
- * AQME Exercise: Bound States – Theoretical Exercise
- * Quantum Bound States Exercise
- * Test for Bound States Calculation Lab
- * Solve a Challenge for the BSC Lab
- Piece-Wise Constant Potential Barriers Tool
- PCPBT Manual
- * PCPBT Exercise - Symmetric Barriers
- * PCPBT: Problem Assignment for Asymmetric Barriers
- * Double-Barrier Case: An Exercise
- * From 1 well to 2 wells to 5 wells to periodic potentials: an Exercise
- * Cosine Bands: an Exercise for PCPBT
- * Energy Bands as a Function of the Geometry of the n-Well Potential: an Exercise
- * Tunneling Through Triangular Barrier: an Exercise for PCPBT
- * Periodic Potentials and Bandstructure: an Exercise
- * Stationary Perturbation Theory: an Exercise for PCPBT
- * Quantum Tunneling Exercise
- * Quantum-Mechanical Reflections in Nanodevices: an Exercise
- * Quantum-Mechanical Reflections: an Exercise
- * ABACUS: Test for PCPBT Lab
- Schred
- * Schred Tutorial Version 2.1
- * Quantum Size Effects and the Need for Schred
- * Schred: Exercise 1
- * SCHRED: Exercise 2
- * Schred: Exercise 3
- * Modeling Single and Dual-Gate Capacitors using SCHRED
- * Schred Source Code Download
- 1D Heterostructure Tool
- * Uniform versus delta doping in 1D heterostructures: an Exercise
- * Parallel Conduction Channel: an Exercise for 1D Heterostructure Lab
Periodic Potentials and the Kronig-Penney Model
Lectures
- Quantum Mechanics: Periodic Potentials and Kronig-Penney Model
- Periodic Potentials and the Kronig-Penney Model
- Slides: Kronig-Penney Model Explained
Exercises
WKB Approximation
Lectures
- Quantum Mechanics: WKB Approximation
- Reading Material: WKB Approximation
- Reading Material: Esaki Diode
- Slides: WKB Approximation 1
- Slides: WKB Approximation 2
- Slides: WKB Approximation Applications
Exercises
Harmonic oscillator
Lectures
- Quantum Mechanics: Harmonic Oscillator
- Reading Material: Harmonic Oscillator
- Harmonic Oscillator: Motion in a Magnetic Field
- Slides: Harmonic Oscillator - Brute Force Approach
- Slides: Harmonic Oscillator - Classical vs. Quantum
- Slides: Harmonic Oscillator - Operator Approach
Tools
Exercises
- Exercise: Brute-force approach applied to harmonic oscillator problem and Coulomb potential in 1D
- Exercise: Operator Approach to Harmonic Oscillator Problem
- AQME Exercise: Bound States – Theoretical Exercise
- Bound States Calculation: an Exercise
- Quantum Bound States Exercise
- Harmonic Oscillator: an Exercise
- Quantum Mechanics: Stationary Perturbation Theory
Lectures
- Reading Material: Stationary Perturbation Theory
- Reading Material: Examples and Stark Effect
- Slides: Stationary Perturbation Theory
- Slides: Degenerate Perturbation Theory
- Slides: Examples and Stark Effect
- Slides: Zeeman Splitting
Exercises
- Quantum Mechanics: Homework on Stationary Perturbation Theory
- Quantum Mechanics: Time-Dependent Perturbation Theory
Lectures
- Time-Dependent Perturbation Theory
- Reading Material: Time-Dependent Perturbation Theory
- Slides: Time-Dependent Perturbation Theory
Exercises