
Quantum Mechanics for Engineers: Podcasts
07 Jul 2008  Series  Contributor(s): Dragica Vasileska, Gerhard Klimeck, David K. Ferry
This course will introduce the students to the basic concepts and postulates of quantum mechanics. Examples will include simple systems such as particle in an infinite and finite well, 1D and 2D …
https://nanohub.org/resources/4920

Quantum Mechanics: Harmonic Oscillator
09 Jul 2008  Series  Contributor(s): Dragica Vasileska, Gerhard Klimeck
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 …
https://nanohub.org/resources/4978

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 positivelycharged proton and a single negativelycharged electron bound to the nucleus by …
https://nanohub.org/resources/4995

Quantum Mechanics: Introductory Concepts
07 Jul 2008  Series  Contributor(s): Dragica Vasileska, Gerhard Klimeck, David K. Ferry
In this section of the Quantum Mechanics class we discuss the particlewave duality and the need for the quantization of energy to explain the blackbody radiation and the photoelectric effect. We …
https://nanohub.org/resources/4910

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 …
https://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 …
https://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 …
https://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 …
https://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 …
https://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 …
https://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 …
https://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 …
https://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 …
https://nanohub.org/resources/4992