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Wave packet propagation in quantum d...
~
Jurhs, Adam Todd.
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Wave packet propagation in quantum dynamic systems via "Mathematica".
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Wave packet propagation in quantum dynamic systems via "Mathematica"./
作者:
Jurhs, Adam Todd.
面頁冊數:
55 p.
附註:
Chair: Mark Shapiro.
Contained By:
Masters Abstracts International38-02.
標題:
Physics, Atomic. -
電子資源:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1397290
ISBN:
0599545275
Wave packet propagation in quantum dynamic systems via "Mathematica".
Jurhs, Adam Todd.
Wave packet propagation in quantum dynamic systems via "Mathematica".
- 55 p.
Chair: Mark Shapiro.
Thesis (M.S.)--California State University, Fullerton, 1999.
The various “measurements” calculated by this model include, but are not limited to, the system's Energy Expectation Values, Uncertainty Values, Energy Spectrum, and an animated graphical depiction of the wavepackets' time development.
ISBN: 0599545275Subjects--Topical Terms:
1029235
Physics, Atomic.
Wave packet propagation in quantum dynamic systems via "Mathematica".
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The various “measurements” calculated by this model include, but are not limited to, the system's Energy Expectation Values, Uncertainty Values, Energy Spectrum, and an animated graphical depiction of the wavepackets' time development.
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A computer based simulation method for finding general solutions to the Time-Dependent Schrödinger Wave Equation (TDSWE) in multiple dimensions is presented. In particular, <italic>Mathematica</italic> is utilized to analyze wavepacket propagation with a “Lattice Representation” for an arbitrary, but specified, potential energy configuration. The <italic>Lattice Representation Model</italic> along with <italic>Fourier Transform</italic> principles enables the Time-Development Operator to be computed across arbitrarily complicated potential terms in the TDSWE and provides for arbitrarily exact numerical solutions.
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This simulation technique has been applied to a diverse array of quantum dynamic systems using a desktop personal computer. The specific system presented for explanation of the model is that of an electron wavepacket traveling down a Quantum Wire with an “Electron Trap” potential. This particular system was chosen because of its increasing importance in applications to Nanotechnology and Quantum Registries of quantum computers. A second system presented, the Harmonic Oscillator, is used for validation of the modeling technique.
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