Slides: Degenerate Perturbation Theory
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10 Jul 2008 | Teaching Materials | Contributor(s): Dragica Vasileska, David K. Ferry
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Slides: Stationary Perturbation Theory
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Reading Material: Examples and Stark Effect
10 Jul 2008 | Teaching Materials | Contributor(s): Dragica Vasileska
Reading Material: Stationary Perturbation Theory
Quantum Mechanics: The story of the electron spin
09 Jul 2008 | Teaching Materials | 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...
Quantum Mechanics: Hydrogen Atom and Electron Spin
09 Jul 2008 | Series | Contributor(s): Dragica Vasileska, Gerhard Klimeck
A hydrogen atom is an atom of the chemical element hydrogen. The electrically neutral atom contains a single positively-charged proton and a single negatively-charged electron bound to the nucleus by the Coulomb force. The most abundant isotope, hydrogen-1, protium, or light hydrogen, contains no...
Quantum Mechanics: Hydrogen Atom
The solution of the Schrödinger equation (wave equations) for the hydrogen atom uses the fact that the Coulomb potential produced by the nucleus is isotropic (it is radially symmetric in space and only depends on the distance to the nucleus). Although the resulting energy eigenfunctions (the...
Quantum Mechanics: WKB Approximation
In physics, the WKB (Wentzel–Kramers–Brillouin) approximation, also known as WKBJ (Wentzel–Kramers–Brillouin–Jeffreys) approximation, is the most familiar example of a semiclassical calculation in quantum mechanics in which the wavefunction is recast as an exponential function, semiclassically...
Homework: WKB Approximation
Slides: WKB Approximation Applications
Slides: WKB Approximation 2
09 Jul 2008 | Teaching Materials | Contributor(s): Dragica Vasileska, David K. Ferry
Slides: WKB Approximation 1
Reading Material: Esaki Diode
09 Jul 2008 | Teaching Materials | Contributor(s): Dragica Vasileska
Reading Material: WKB Approximation
Quantum Mechanics: Harmonic Oscillator
The quantum harmonic oscillator is the quantum mechanical analogue of the classical harmonic oscillator. It is one of the most important model systems in quantum mechanics because an arbitrary potential can be approximated as a harmonic potential at the vicinity of a stable equilibrium point....
Harmonic Oscillator: an Exercise
Harmonic Oscillator: Motion in a Magnetic Field
Slides: Harmonic Oscillator - Operator Approach
Slides: Harmonic Oscillator - Brute Force Approach
Slides: Harmonic Oscillator - Classical vs. Quantum
Reading Material: Harmonic Oscillator
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
08 Jul 2008 | Teaching Materials | Contributor(s): Dragica Vasileska, Gerhard Klimeck
Quantum Mechanics: Landauer's Formula
08 Jul 2008 | Series | 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...
Slides: Buttiker formula derivation
08 Jul 2008 | Teaching Materials | Contributor(s): Dragica Vasileska