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Quantum Mechanics for Engineers: Course Assignments
Teaching Materials | 30 Jul 2008 | Contributor(s):: Dragica Vasileska, Gerhard Klimeck
This set of exercises should help the students better understand the basic principles of quantum mechanics as applied to engineering problems. Introductory concepts in Quantum Mechanics Postulates of Quantum Mechanics Wavepackets Quantum-Mechanical Reflections Quantum-Mechanical Reflections in...
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Quantum Mechanics for Engineers
Courses | 07 Jul 2008 | 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 harmonic oscillator and tunneling. Numerous approximation techniques, such as WKB method,...
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Reading Material: Examples and Stark Effect
Teaching Materials | 10 Jul 2008 | Contributor(s):: Dragica Vasileska
www.eas.asu.edu/~vasileskNSF
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Quantum Mechanics: Stationary Perturbation Theory
Series | 10 Jul 2008 | 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 system is changed by a small amount. In this section we provide reading material regarding...
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Quantum Mechanics: Time-Dependent Perturbation Theory
Series | 10 Jul 2008 | Contributor(s):: Dragica Vasileska, Gerhard Klimeck
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 is time-dependent, so are its energy levels and eigenstates. Therefore, the goals of time-dependent...
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Reading Material: Harmonic Oscillator
Teaching Materials | 09 Jul 2008 | Contributor(s):: Dragica Vasileska
www.eas.asu.edu/~vasileskNSF
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Slides: Harmonic Oscillator - Classical vs. Quantum
Teaching Materials | 09 Jul 2008 | Contributor(s):: Dragica Vasileska
www.eas.asu.edu/~vasileskNSF
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Quantum Mechanics: WKB Approximation
Series | 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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Slides on Introductory Concepts in Quantum Mechanics
Teaching Materials | 07 Jul 2008 | Contributor(s):: Dragica Vasileska, David K. Ferry, Gerhard Klimeck
particle wave duality, quantization of energy
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Quantum Mechanics: Tunneling
Series | 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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Quantum Mechanics: Time Independent Schrodinger Wave Equation
Series | 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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Quantum Mechanics: Introductory Concepts
Series | 07 Jul 2008 | Contributor(s):: Dragica Vasileska, Gerhard Klimeck, David K. Ferry
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 provide reading material, slides and video, which in a very illustrative way, explain the most...
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Reading Material for Introductory Concepts in Quantum Mechanics
Teaching Materials | 07 Jul 2008 | Contributor(s):: Dragica Vasileska
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Particle-Wave Duality: an Animation
Animations | 07 Jul 2008
This animation is publicly available at YouTube under http://www.youtube.com/watch?v=DfPeprQ7oGc
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Reading Material: Postulates of Quantum Mechanics
Teaching Materials | 07 Jul 2008 | Contributor(s):: Dragica Vasileska
www.eas.asu.edu
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Homework Assignment: Wavepackets
Teaching Materials | 07 Jul 2008 | Contributor(s):: Dragica Vasileska, Gerhard Klimeck
www.eas.asu.edu/~vasileskNSF
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Quantum Mechanics: Wavepackets
Series | 07 Jul 2008 | 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 "probability wave" describing the probability that a particle or particles in a particular state will...
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Reading Material: What is Quantum Mechanics?
Teaching Materials | 08 Jul 2008 | Contributor(s):: Dragica Vasileska, Gerhard Klimeck
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Theoretical Electron Density Visualizer
Tools | 01 Jul 2008 | Contributor(s):: Baudilio Tejerina
TEDVis calculates and displays 3D maps of molecular ED and its derivatives from the wave function.
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Quantum-Mechanical Reflections in Nanodevices: an Exercise
Teaching Materials | 02 Jul 2008 | Contributor(s):: Dragica Vasileska, Gerhard Klimeck
This exercise points out to the fact that quantum-mechanical reflections are going to be significant in nanoscale devices and proper modeling of these device structures must take into consideration the quantum-mechanical reflections. NSF, ONR Dragica Vasileska personal web-site...