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Direct Evaluation of Transition Amplitude Using Determinant of Wave Operator in One-Dimensional Potential Scattering System |
| Itsuki Banno;Kazumi Fujima |
| Interdisciplinary Graduate School of Medicine and Engineering, University of Yamanashi, 4-3-11 Takeda, Kofu, Yamanashi 400-8511, Japan |
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| Cite this article: |
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Itsuki Banno, Kazumi Fujima 2007 Chin. Phys. Lett. 24 3032-3035 |
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Abstract A determinantal formula is developed for direct evaluation of transition amplitude without solving the wave equation in a one-dimensional potential scattering system. Our formulation is based on the principle that a desired quantity can be extracted from the wave operator, which is the master operator maintaining all the information of the system. This principle is tested in a simplified system, i.e., in a one-dimensional potential scattering system. We are now developing a formula for direct evaluation of near-field amplitude to design a system, in which local field enhancement is desired.
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| Keywords:
03.65.Nk
07.79.Fc
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Received: 04 September 2007
Published: 23 October 2007
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| PACS: |
03.65.Nk
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(Scattering theory)
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07.79.Fc
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(Near-field scanning optical microscopes)
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