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AQME assembles a set of nanoHUB tools that we believe are of immediate interest for the teaching of quantum mechanics class for both Engineers and Physicists. Users no longer have to search the nanoHUB to find the appropriate applications for this particular purpose. This curated page provides a “on-stop-shop” access to associated materials such as homework or project assignments.
Quantum Mechanics for Engineers: Podcasts
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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...
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...
Quantum Mechanics: Time-Dependent Perturbation Theory
Time-dependent perturbation theory, developed by Paul Dirac, studies the effect of a time-dependent perturbation V(t) applied to a time-independent Hamiltonian H0. Since the perturbed Hamiltonian...
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...
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...
Quantum Mechanics: Hydrogen Atom and Electron Spin
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...
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...
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...
Quantum Mechanics: Tunneling
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...
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...
Quantum Mechanics: Introductory Concepts
In this section of the Quantum Mechanics class we discuss the particle-wave duality and the need for the quantization of energy to explain the black-body radiation and the photoelectric effect. We...
Quantum Mechanics: Postulates
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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...
Quantum Mechanics: Wavepackets
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...