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The Quantum Mechanics of Two and Three Dimensional Nano-Structures
written by Richard Gass
Nano-science is one of the fastest growing fields in both physics and engineering. It is now possible to design and fabricate devices whose physical dimensions are on the nanometer scale and whose quantum properties can be tuned as desired.  In this notebook we will study the quantum mechanics of what are known as reduced dimensional structures.  A structure is said to have reduced dimensionality if one or more of the dimensions is on the order of the De Broglie wavelength of the particles confined to the structure. An ordinary wire for example, has no reduced dimensionality since both its length and its radius are large compared to the De Broglie wavelength of room temperature electrons.
Subjects Levels Resource Types
Modern Physics
- Nanoscience
Quantum Physics
- Approximation Techniques
- Bound State Systems
- General
- Quantum Experiments
- Upper Undergraduate
- Graduate/Professional
- Instructional Material
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- Tool
= Code
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- Educators
- application/mathematica
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Access Rights:
Free access
Restriction:
Does not have a copyright, license, or other use restriction.
Courtesy of:
Richard Gass
Keywords:
Eigenvalues, Eigenvectors, Elliptical Partial Differential Equations, Laplace equation, Laplacian, Mathematica, Partial Differential Equations, de Broglie wavelength, nano-structures, time-independent Schrödinger equation
Record Creator:
Metadata instance created March 10, 2009 by David Winch
Record Updated:
August 25, 2015 by Bruce Mason
Last Update
when Cataloged:
January 1, 2008
Other Collections:

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Record Link
AIP Format
R. Gass, Computer Program THE QUANTUM MECHANICS OF TWO AND THREE DIMENSIONAL NANO-STRUCTURES (2008), WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=8662&DocID=1069).
AJP/PRST-PER
R. Gass, Computer Program THE QUANTUM MECHANICS OF TWO AND THREE DIMENSIONAL NANO-STRUCTURES (2008), <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=8662&DocID=1069>.
APA Format
Gass, R. (2008). The Quantum Mechanics of Two and Three Dimensional Nano-Structures [Computer software]. Retrieved December 15, 2017, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=8662&DocID=1069
Chicago Format
Gass, Richard. "The Quantum Mechanics of Two and Three Dimensional Nano-Structures." https://www.compadre.org/Repository/document/ServeFile.cfm?ID=8662&DocID=1069 (accessed 15 December 2017).
MLA Format
Gass, Richard. The Quantum Mechanics of Two and Three Dimensional Nano-Structures. Computer software. 2008. 15 Dec. 2017 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=8662&DocID=1069>.
BibTeX Export Format
@misc{ Author = "Richard Gass", Title = {The Quantum Mechanics of Two and Three Dimensional Nano-Structures}, Month = {January}, Year = {2008} }
Refer Export Format

%A Richard Gass
%T The Quantum Mechanics of Two and Three Dimensional Nano-Structures
%D January 1, 2008
%U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=8662&DocID=1069
%O application/mathematica

EndNote Export Format

%0 Computer Program
%A Gass, Richard
%D January 1, 2008
%T The Quantum Mechanics of Two and Three Dimensional Nano-Structures
%8 January 1, 2008
%U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=8662&DocID=1069


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