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Unusual quantum effects in scatterin...

Rowe, Kirk D.

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Unusual quantum effects in scattering wave functions of two-dimensional cage potentials.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Unusual quantum effects in scattering wave functions of two-dimensional cage potentials./
Author:	Rowe, Kirk D.
Description:	111 p.
Notes:	Source: Dissertation Abstracts International, Volume: 66-02, Section: B, page: 0941.
Contained By:	Dissertation Abstracts International66-02B.
Subject:	Physics, General. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3165864
ISBN:	9780542012853

Unusual quantum effects in scattering wave functions of two-dimensional cage potentials.
Rowe, Kirk D.

Unusual quantum effects in scattering wave functions of two-dimensional cage potentials. - 111 p.

Source: Dissertation Abstracts International, Volume: 66-02, Section: B, page: 0941.

Thesis (Ph.D.)--Oregon State University, 2005.

We exhibit long-lived resonances in scattering from two-dimensional soft cage potentials comprised of three and four Gaussian peaks. Specific low-energy resonances with very narrow width are shown to correspond to classical multiple-reflection events. These states have much larger probability densities inside the cage than outside and mimic bound states in the sense that the symmetry-breaking effect of the incident wave is relatively small. As a result we have found that isolated states display the simple symmetry characteristics of bound states. Overlapping resonances exhibit a mixing of symmetry classes leading to wave functions of lower symmetry, like those of wider resonances at higher energy. We demonstrate that at energies below the lowest resonances of two-dimensional cages, where the distance across the entrance of the cage corresponds to less than half a wavelength, the wave function may still gain access to the interior region by squeezing its wavelength in the necessary direction at the expense of the kinetic energy in the direction normal to the opening. The resulting curvature of the wave function in the donor dimension corresponds to an imaginary wavenumber, curving away from the plane defined by zero amplitude. This mechanism for passing between obstacles may be relevant for electronic and optical devices having spatial structures with dimensions comparable to the wavelengths of the energy carriers.

ISBN: 9780542012853Subjects--Topical Terms:

1018488
Physics, General.

Unusual quantum effects in scattering wave functions of two-dimensional cage potentials.
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100 1 $a Rowe, Kirk D. $3 1916371
245 1 0 $a Unusual quantum effects in scattering wave functions of two-dimensional cage potentials.
300 $a 111 p.
500 $a Source: Dissertation Abstracts International, Volume: 66-02, Section: B, page: 0941.
500 $a Adviser: Philip Siemens.
502 $a Thesis (Ph.D.)--Oregon State University, 2005.
520 $a We exhibit long-lived resonances in scattering from two-dimensional soft cage potentials comprised of three and four Gaussian peaks. Specific low-energy resonances with very narrow width are shown to correspond to classical multiple-reflection events. These states have much larger probability densities inside the cage than outside and mimic bound states in the sense that the symmetry-breaking effect of the incident wave is relatively small. As a result we have found that isolated states display the simple symmetry characteristics of bound states. Overlapping resonances exhibit a mixing of symmetry classes leading to wave functions of lower symmetry, like those of wider resonances at higher energy. We demonstrate that at energies below the lowest resonances of two-dimensional cages, where the distance across the entrance of the cage corresponds to less than half a wavelength, the wave function may still gain access to the interior region by squeezing its wavelength in the necessary direction at the expense of the kinetic energy in the direction normal to the opening. The resulting curvature of the wave function in the donor dimension corresponds to an imaginary wavenumber, curving away from the plane defined by zero amplitude. This mechanism for passing between obstacles may be relevant for electronic and optical devices having spatial structures with dimensions comparable to the wavelengths of the energy carriers.
590 $a School code: 0172.
650 4 $a Physics, General. $3 1018488
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710 2 0 $a Oregon State University. $3 625720
773 0 $t Dissertation Abstracts International $g 66-02B.
790 1 0 $a Siemens, Philip, $e advisor
790 $a 0172
791 $a Ph.D.
792 $a 2005
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3165864