
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 …
http://nanohub.org/resources/4958

Quantum Mechanics: Periodic Potentials and KronigPenney Model
09 Jul 2008  Series  Contributor(s): Dragica Vasileska, Gerhard Klimeck
The KronigPenney 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 …
http://nanohub.org/resources/4962

Quantum Mechanics: Postulates
07 Jul 2008  Series  Contributor(s): Dragica Vasileska, Gerhard Klimeck
A physical system is generally described by three basic ingredients: states; observables; and dynamics (or law of time evolution) or, more generally, a group of physical symmetries. A classical …
http://nanohub.org/resources/4923

Quantum Mechanics: Stationary Perturbation Theory
10 Jul 2008  Series  Contributor(s): Dragica Vasileska, Gerhard Klimeck
Stationary perturbation theory is concerned with finding the changes in the discrete energy levels and the changes in the corresponding energy eigenfunctions of a system, when the Hamiltonian of a …
http://nanohub.org/resources/5014

Quantum Mechanics: Time Independent Schrodinger Wave Equation
07 Jul 2008  Series  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 …
http://nanohub.org/resources/4937

Quantum Mechanics: TimeDependent Perturbation Theory
10 Jul 2008  Series  Contributor(s): Dragica Vasileska, Gerhard Klimeck
Timedependent perturbation theory, developed by Paul Dirac, studies the effect of a timedependent perturbation V(t) applied to a timeindependent Hamiltonian H0. Since the perturbed Hamiltonian is …
http://nanohub.org/resources/5021

Quantum Mechanics: Tunneling
08 Jul 2008  Series  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 …
http://nanohub.org/resources/4945

Quantum Mechanics: Wavepackets
07 Jul 2008  Series  Contributor(s): Dragica Vasileska, Gerhard Klimeck
In physics, a wave packet is an envelope or packet containing an arbitrary number of wave forms. In quantum mechanics the wave packet is ascribed a special significance: it is interpreted to be a …
http://nanohub.org/resources/4932

Quantum Mechanics: WKB Approximation
09 Jul 2008  Series  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 …
http://nanohub.org/resources/4992

University of Puerto Rico Nanotechnology Lectures
16 Nov 2005  Series  Contributor(s): David Janes
Lectures for Nanotechnology class at the University of Puerto Rico.
http://nanohub.org/resources/437