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Slides: WKB Approximation 2
09 Jul 2008 | | Contributor(s):: Dragica Vasileska, David K. Ferry
www.eas.asu.edu/~vasileskNSF
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Slides: WKB Approximation Applications
09 Jul 2008 | | Contributor(s):: Dragica Vasileska, Gerhard Klimeck
www.eas.asu.edu/~vasileskNSF
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Homework: WKB Approximation
09 Jul 2008 | | Contributor(s):: Dragica Vasileska, Gerhard Klimeck
www.eas.asu.edu/~vasileskNSF
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Quantum Mechanics: WKB Approximation
09 Jul 2008 | | Contributor(s):: Dragica Vasileska, Gerhard Klimeck
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...
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Quantum Mechanics: Hydrogen Atom and Electron Spin
09 Jul 2008 | | 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...
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Quantum Mechanics: The story of the electron spin
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...
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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
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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...
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Quantum Mechanics: Periodic Potentials and Kronig-Penney Model
09 Jul 2008 | | Contributor(s):: Dragica Vasileska, Gerhard Klimeck
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...
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Slides: Kronig-Penney Model Explained
08 Jul 2008 | | Contributor(s):: Dragica Vasileska, Gerhard Klimeck
www.eas.asu.edu/~vasileskNSF
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Slides: Buttiker formula derivation
08 Jul 2008 | | Contributor(s):: Dragica Vasileska
www.eas.asu.edu/~vasileskNSF
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Slides: Landauer's formula derivation
08 Jul 2008 | | Contributor(s):: Dragica Vasileska
www.eas.asu.edu/~vasileskNSF
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Slides: Diffusive vs. ballistic transport
08 Jul 2008 | | Contributor(s):: Dragica Vasileska
www.eas.asu.edu/~vasilesk
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Reading Material: Landauer's formula
08 Jul 2008 | | Contributor(s):: Dragica Vasileska
www.eas.asu.edu/~vasileskNSF
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Quantum Mechanics: Tunneling
08 Jul 2008 | | Contributor(s):: Dragica Vasileska, Gerhard Klimeck
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...
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Reading Material: Tunneling
08 Jul 2008 | | Contributor(s):: Dragica Vasileska
www.eas.asu.edu/~vasileskNSF
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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...
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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
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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
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Harmonic Oscillator Problem
05 Jul 2008 | | Contributor(s):: Dragica Vasileska
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